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【百年教育职业培训中心】线性代数I-章节资料考试资料-西南石油大学

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答案:微信搜索【渝粤教育】公众号



第一章 矩阵和行列式 单元测验

1、【单选题】<img src="http://nos.netease.com/edu-image/0812761baad944dcba044f27dd3aff27.png" height="35" width="403" >

A、<img src="http://nos.netease.com/edu-image/1a3b9369105447c3ba6522b6b55744dd.png" height="32" width="205" >

B、<img src="http://nos.netease.com/edu-image/cd95f85dced64ebc9290d36aa5a5dbd6.png" height="32" width="224" >

C、<img src="http://nos.netease.com/edu-image/8669c273c3be43608371b3263317cdcf.png" height="30" width="152" >

D、<img src="http://nos.netease.com/edu-image/66a07fa4bdb545dc9d13b9f5046c628c.png" height="32" width="261" >


2、【单选题】<img src="http://edu-image.nosdn.127.net/24F14F53FDB8AE9BE153DFBA359AAB0F.png?imageView

A、<img src="http://edu-image.nosdn.127.net/9F290A082B8C80668FD5C3660388DD69.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/D71090F30CB3D7AD228E96A458F6762D.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8B18425450EBEF66245ABD6E60AF2BEF.png?imageView&thumbnail=890x0&quality=100" />

D、没有意义


3、【单选题】<img src="http://edu-image.nosdn.127.net/4D37855AF829F4415F101FAE392A2B2D.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/2B7A9F9154A1205DBE23F04B965C31CC.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0318EDF6E01A9F3E38FB7B45BC356D5B.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/57EA1CD69F1530A30740FD0758FB0AC8.png?imageView&thumbnail=890x0&quality=100" />

D、0


4、【单选题】<img src="http://edu-image.nosdn.127.net/1C9B227E3790F96B2684BE7F6547D1A1.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/FA300ECD830B80B9C14C71B9656718E7.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/94E27B4A7FE584EF8F39AE21A913885E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/12D7A729C5E9026D6B509DFC8A24E69D.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/FF2484CB42D3317E7FAEF361D0AE40AF.png?imageView&thumbnail=890x0&quality=100" />


5、【单选题】<img src="http://edu-image.nosdn.127.net/95EB359CFD59FDAA707F4069042F7238.png?imageView

A、<img src="http://edu-image.nosdn.127.net/B6213981A908B1AD82E4780BE5E9C81B.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F54AAF9097213C8F58232A8A5CA57EB2.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/A5A22FD0496A194FAB3B85F5A6E2218C.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4EEFBD14D48DDA1E00E22DE33F4B6AC9.png?imageView&thumbnail=890x0&quality=100" />


6、【单选题】<img src="http://edu-image.nosdn.127.net/90EDB9E84A12CB8DD6AE941B49104FBE.png?imageView&thumbnail=890x0&quality=100" />

A、2

B、3

C、1

D、4


7、【单选题】<img src="http://edu-image.nosdn.127.net/1875CC3FCB571E3EFB5239FA9A4F5236.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/BB8BBF3756239AB9EBABA3051CFB14E9.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/C7CF9FB55B5908CBF919182C0E06935F.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/91584AF827184281874F3AB63FA9E572.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/FB09027E7794E3EB4027679D5C460ECF.png?imageView&thumbnail=890x0&quality=100" />


8、【单选题】<img src="http://edu-image.nosdn.127.net/93823C0E3B0EC7F13FF12FFC590CCCF4.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/855FDBB4D6CE4BB90B72CF22B21C5C82.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/4F102F29847F288D3CB01DA69E033E37.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/3846CBE8E5CA09F13B5EF5621BCDF1D7.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4D5EDCD8C6B83BD986BDDCD12A8D01B2.png?imageView&thumbnail=890x0&quality=100" />


9、【单选题】<img src="http://edu-image.nosdn.127.net/E8B149134265B620B2C28B7D38B66C14.png?imageView

A、<img src="http://edu-image.nosdn.127.net/A91412DADB087B45AD83DE996303AE23.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/E4EDDC96296A511EB01B4A1A7BE713EB.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/FB532F02FE5817F722A5DC6B73C2B0A8.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/B3203341EEEB93C71B98C63396CBC098.png?imageView&thumbnail=890x0&quality=100" />


10、【单选题】<img src="http://edu-image.nosdn.127.net/C25F59D85462935E532CFF49533970B9.png?imageView

A、-3

B、3

C、2

D、 任意实数


11、【单选题】<img src="http://edu-image.nosdn.127.net/CAE3DEF8EA0E37ADC02558051BBC71FF.png?imageView

A、<img src="http://edu-image.nosdn.127.net/93EE364694D5B96977B8A51F82DC0806.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/2FC0044F0743EE94DA0CACDA89AF9BCE.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/9A5401F39CDB9AB6A716698E5BF25D57.png?imageView&thumbnail=890x0&quality=100" />

D、0


12、【单选题】<img src="http://edu-image.nosdn.127.net/4BF1033CD3F6941DB63017F4FEC6327C.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/15967CC7DDC4F56226AB31A8C17F5B1D.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/379FFDA45A9864E420892B9639AE32A6.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/36847E3DE33915D56F222C68E90AB615.png?imageView&thumbnail=890x0&quality=100" />

D、0


13、【单选题】<img src="http://edu-image.nosdn.127.net/C4BF390C19968CF1F6D2F955B105ED9D.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/9B28E23D784FDBA296E8D826AF3976B9.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0A3D28CBC9DF18658B9E5D38E6A85462.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/C1FA78468BF9A33B6C66224B367347AB.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/79700BEF8E539C8FFE8E7C5BB0AB3E81.png?imageView&thumbnail=890x0&quality=100" />


14、【单选题】<img src="http://edu-image.nosdn.127.net/6638365B1E2EACA6D99416A771D22F1D.png?imageView&thumbnail=890x0&quality=100" />

A、3

B、2

C、1

D、0


15、【单选题】<img src="http://edu-image.nosdn.127.net/7CA0E5EB55C37514D7216F976687A0EE.png?imageView&thumbnail=890x0&quality=100" />

A、6个

B、7个

C、5个

D、其他都不对


16、【单选题】<img src="http://edu-image.nosdn.127.net/7E596C4D270763BF849EC545230ED8F8.png?imageView&thumbnail=890x0&quality=100" />

A、-4

B、4

C、0

D、8


17、【单选题】<img src="http://edu-image.nosdn.127.net/CFB2943FDCE25F9E64AD59D3690DBEBC.png?imageView

A、0

B、都不正确

C、-14

D、-28


18、【单选题】<img src="http://edu-image.nosdn.127.net/AA7C4D8E72A6731CF0462C89328D92B3.png?imageView&thumbnail=890x0&quality=100" />

A、-120

B、120

C、0

D、12


19、【单选题】<img src="http://edu-image.nosdn.127.net/706C386CE5C47BF4C0E709EDF520A7C5.png?imageView

A、<img src="http://edu-image.nosdn.127.net/EFB8BFBFFF8AFE7820BBE23438D9307A.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/629C926007123127267FB9E70D9E2486.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8E8F14E8CAF1C6BA53BCC1282BA941D2.png?imageView&thumbnail=890x0&quality=100" />

D、逆矩阵不存在


20、【单选题】<img src="http://edu-image.nosdn.127.net/7D5FE24B387C608094601109F5A8A151.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/6FB41D2F7B121A627F09AB419448AE47.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F4BD3AFAFEF32357A7082EF5CE3A62C7.png?imageView&thumbnail=890x0&quality=100" />

C、2

D、1


21、【单选题】<img src="http://edu-image.nosdn.127.net/89E51EFF3783C2207439513068F8D29B.png?imageView

A、<img src="http://edu-image.nosdn.127.net/9AB77D076D47E74120559A262AB57F1E.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/CE49D94B5B0B5D90A818CE45A1148946.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/7E57E50A665375EB12DE935FE5CF16E3.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/FDD2C4EC5B54FAF855472343ADF7492E.png?imageView&thumbnail=890x0&quality=100" />


22、【单选题】下列命题中正确的是

A、<img src="http://edu-image.nosdn.127.net/30C1FC2AAFCF3B7D97DA9CDCDF47FE52.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0F3E3F4CF08CA887CC1C39116EDE3DA4.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/815DA897F09FDBD8C0D7028D8479B209.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/C967718715A8C0CD1B3B3EC6A73363F2.png?imageView&thumbnail=890x0&quality=100" />


23、【单选题】<img src="http://edu-image.nosdn.127.net/70F8A841BD6EC5E9FCEA8CB9FB61B37A.png?imageView

A、<img src="http://edu-image.nosdn.127.net/8C60DABCC1D7EB8CDB7DC57C59A02905.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/CFE9E999ACDEC04F6A02F98AAFAE6529.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/E678D6F62C297E7C65C8B1F36CD4473D.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/08F124C9DB0A07FC75F7C04D9ACC104D.png?imageView&thumbnail=890x0&quality=100" />


24、【单选题】<img src="http://edu-image.nosdn.127.net/BEFA821C414BE8B9C3A869092E8B859A.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/05A16E498AC2E8438495100EC5FBC164.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/3B5FC6259F0B911CF7796310E32141A7.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/5DF0184ADC089AC87884E485E8458FE7.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/385E6B334BF73E174A0E6F44E0272358.png?imageView&thumbnail=890x0&quality=100" />


25、【单选题】<img src="http://edu-image.nosdn.127.net/80CC170D3201AF94BD5DC07AF3607560.png?imageView

A、24

B、6

C、2

D、1


26、【单选题】<img src="http://edu-image.nosdn.127.net/6F2285BE21C571F705C96867979E7333.png?imageView

A、<img src="http://edu-image.nosdn.127.net/971D466B6D852FFD6CA2E106BFA00322.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/D7365681A2A1431D46B46634FB8AEC2A.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/B72F0D1BC016A70520CB64A475CBA116.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/7F7D07A24B43A9FD967496659825F3C0.png?imageView&thumbnail=890x0&quality=100" />


27、【单选题】<img src="http://edu-image.nosdn.127.net/B3324501CF8C455FCBCF49A22517F258.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/5203D1A77D312B0F926B9285F602A033.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/53CAA661DC6591E199332CA407C36B37.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/50239F4AE828593AB6266D07CE41EA0F.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/197B806A53FBFF5996A49312281516DE.png?imageView&thumbnail=890x0&quality=100" />


28、【单选题】<img src="http://edu-image.nosdn.127.net/DD7BC31D6100FE89CE0CC3B8B5D83F6E.png?imageView

A、<img src="http://edu-image.nosdn.127.net/491F375DCF0BF3FA839723FE1551B526.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/995F4FE702F4E8A7F1312C37C666384E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8D5AAC1A6698D303AB1432C9B5D0993D.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/B8934ED8EE375F49AE329CD6EF449B49.png?imageView&thumbnail=890x0&quality=100" />


29、【单选题】<img src="http://edu-image.nosdn.127.net/9FE183D5DA027F643CDFB32574D778F7.png?imageView

A、<img src="http://edu-image.nosdn.127.net/F20DC7AC030FAD3E5B7736FDDBD8A049.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/BC49FE70336DC215CE094C8F7E104167.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8D36CBC31D00B17F0C26DAB79B5A146B.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/CD4DF6E02FB6EEF94AD24D386B75DF3B.png?imageView&thumbnail=890x0&quality=100" />


30、【单选题】<img src="http://edu-image.nosdn.127.net/0FCD868DAD277296842CE4F1157E8F72.png?imageView

A、<img src="http://edu-image.nosdn.127.net/AAA014233F7B6F55DC79292FBF78CEC6.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/7163E4641CBFFEB44C762BE5274BE665.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/561528F6133494840E2A04942C79C514.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/50DFA24516B50EE9BA75F2B8B1A02E41.png?imageView&thumbnail=890x0&quality=100" />


31、【单选题】<img src="http://edu-image.nosdn.127.net/96D50DDD3C100D868E3944313CA5E8D0.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/64364613CF7D306892C468452491170A.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/39B570FD614C225FC85AE6C56E70700B.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/E026ED591AB3FBB7D6D57C9132A64719.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/84DF549BD77D567BC8E93D96E11EC9C1.png?imageView&thumbnail=890x0&quality=100" />


32、【单选题】<img src="http://edu-image.nosdn.127.net/2BFD9098C2927968DE357D1E9D61162F.png?imageView

A、3、2、-2

B、 仅有2、-2

C、仅有3

D、仅有0,1


33、【单选题】<img src="http://nos.netease.com/edu-image/3196c2f0a6064e68821a9672e421a3e6.png" height="51" width="509" >

A、<img src="http://nos.netease.com/edu-image/858c29949c684405a085b081ad8255be.png" height="32" width="89" >

B、<img src="http://nos.netease.com/edu-image/a75104023e644fbaa6f302f8ac180189.png" height="27" width="88" >

C、<img src="http://nos.netease.com/edu-image/5320c24e85944ab38f19c306541de9f4.png" height="24" width="88" >

D、<img src="http://nos.netease.com/edu-image/91774da93f3f47fa8fec2955f4dd4079.png" height="27" width="85" >


34、【单选题】<img src="http://edu-image.nosdn.127.net/F52D99937AAAE164E35691D34411ADEB.png?imageView

A、必为对称矩阵

B、必为反对称矩阵

C、既不是反对称矩阵,又不是对称矩阵

D、既是反对称矩阵,又是对称矩阵


35、【单选题】<img src="http://edu-image.nosdn.127.net/16237F197D6962A9354C9F7BB006B322.png?imageView

A、<img src="http://edu-image.nosdn.127.net/A1D8F2E30762389542F2670C58169619.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/9EF54A7775372C48CD0D4CD4FA8D1B89.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/A03F874D71E60C2C87AEEE9D767D8F34.png?imageView&thumbnail=890x0&quality=100" />

D、逆矩阵不存在


36、【单选题】<img src="http://edu-image.nosdn.127.net/3B5E6C12C1A81503E1A317CDEDC730C3.png?imageView

A、<img src="http://edu-image.nosdn.127.net/48E9309552C65766E23AC914DAC4808C.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F97F868406472695C9590E590012BB84.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/595ADBD48AFA41C7E84D053D6F658AF6.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/82E1C9A299FEF410D0FB34699EC80FF2.png?imageView&thumbnail=890x0&quality=100" />


37、【单选题】下列矩阵中为阶梯形矩阵的是

A、<img src="http://edu-image.nosdn.127.net/47E4FF110E04AC28E00B341444534297.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/E03D1AAB3307E2AF55961227261A9BFD.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/0356B8757FEF82C68A6A59B64125C323.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/90831CDC477ABE00034088117D4286F9.png?imageView&thumbnail=890x0&quality=100" />


38、【单选题】<img src="http://edu-image.nosdn.127.net/0FCCA6612AB3A6E9C74BF8C2EEF95FAB.png?imageView&thumbnail=890x0&quality=100" />

A、6

B、-6

C、0

D、 条件不够,无法计算


39、【单选题】<img src="http://edu-image.nosdn.127.net/17707CE64FC8662D62F83FE0BF47CA7F.png?imageView

A、<img src="http://edu-image.nosdn.127.net/FAC7A0C1944803326F856313B01CDDE2.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0B15C361BD06816A1E1829CBF8A74C18.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/003BF46BE112412119540E226E2E38D8.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/31C872E7AE5DE4E7215B0143C233EB8B.png?imageView&thumbnail=890x0&quality=100" />


40、【单选题】<img src="http://edu-image.nosdn.127.net/57749E0ED84999210D20DA8417069B22.png?imageView

A、<img src="http://edu-image.nosdn.127.net/993663B98B09087EF0D7DC9C50A6725F.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/4EB116BEDF2F74DDAB85A9AD9B6EF026.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/6D1363D8206681773DEDEDCC0F6B7088.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/3733E0C0E0A6FFC2DA1A4EE668172A59.png?imageView&thumbnail=890x0&quality=100" />


41、【单选题】<img src="http://edu-image.nosdn.127.net/71008893A3FE8D86E6E26DAA4366B5E0.png?imageView&thumbnail=890x0&quality=100" />

A、可逆矩阵

B、对角矩阵

C、初等矩阵

D、单位矩阵


42、【单选题】<img src="http://edu-image.nosdn.127.net/D125D08D2B4A19ADAD5C4C40B1C13838.png?imageView

A、-1

B、1

C、0

D、2


43、【单选题】<img src="http://edu-image.nosdn.127.net/12E54CE1DB2C46C2E9243343D8321C66.png?imageView

A、<img src="http://edu-image.nosdn.127.net/B3DD26515159E57FB9255384A57E08A9.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/9C6517F39EB40FBD1BD4E6F6B40935FE.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/34626519B4AC76662C215900F691D043.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/8B9EDF21C52E93B8E86550F0E668225E.png?imageView&thumbnail=890x0&quality=100" />


44、【单选题】<img src="http://edu-image.nosdn.127.net/9C5C2610067475698EE0E92BA5CE9571.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/C0DCCDBB3DFF708D0855267F6667EB59.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/7CA5D0F65D60B3A319378FEFCAA76A84.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/C1931AC172B798E006FB2A9CE0E571FE.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/F989A9F3F4DEAAB68BB4EB3E6A8DF24B.png?imageView&thumbnail=890x0&quality=100" />


45、【单选题】<img src="http://edu-image.nosdn.127.net/9DC876FB2E3F9238B76D11C16A8950B9.png?imageView

A、-6, 0

B、6,0

C、 0, 0

D、都不对


46、【单选题】<img src="http://nos.netease.com/edu-image/fcc992736c144fa6acdc866018bf3098.png" width="457" height="77" style="white-space: normal;" />

A、--2

B、2

C、0

D、1


第二章 向量 单元测验

1、【单选题】<img src="http://nos.netease.com/edu-image/2fe6ce17a5ff42718fd9582ad42285b7.png" height="33" width="416" />

A、<img src="http://nos.netease.com/edu-image/d234675a4aab42069b783d804b4b1f8e.png" height="29" width="72" style="width: 235px; height: 41px;" />

B、<img src="http://nos.netease.com/edu-image/78fc088b1b784d59a0b0983f8d167695.png" height="37" width="201" />

C、<img src="http://nos.netease.com/edu-image/0cf07ca1bd514042b74efe1c5740199b.png" height="34" width="208" />

D、<img src="http://nos.netease.com/edu-image/b784a5be54424f2c92bf031808a1e720.png" height="29" width="212" />


2、【单选题】设向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0b3859b5-2014-46b2-9c57-756f28922b12.png" />,那么该向量组的秩为

A、1

B、2

C、3

D、4


3、【单选题】<img src="http://edu-image.nosdn.127.net/FEB217327B752FC5E305518409C6E3B9.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_853d2b06-c9c7-4a6e-b7ab-6c591bd563aa.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aa1b4762-c3be-4d9e-9336-1d4d50fdc4d0.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_94dc9dbb-17bf-425d-a999-e61de9519978.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9e977204-5f7d-46db-af09-f6882bfb294a.png" />


4、【单选题】若A,B为非零矩阵,且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bb847d30-3aee-4dee-a53c-4042c0d66386.png" />,则

A、A的列向量组线性无关

B、A的行向量组线性无关

C、B的列向量组线性相关

D、B的行向量组线性相关


5、【单选题】设n维向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_261522e0-4c04-4392-8a7f-0c7289d3895d.png" />线性无关,则

A、对任意常数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4be8c693-ce61-44f7-86b2-43c52a0b12b5.png" />,有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b2c907c9-9adc-4a7e-a790-744609af0a56.png" />

B、对任意<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e12192cb-4f5a-46f7-8099-4da8952b8a4f.png" />个向量,向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5669fdbb-2d78-41ab-ba5f-2e2b1683d36d.png" />线性无关

C、对任意向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a5d93be-5b6d-4b0f-a87b-ac52319147a1.png" />,向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6444ac02-fc8c-40ca-8fa2-aad15bd34ec6.png" />线性无关

D、对任意<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e12192cb-4f5a-46f7-8099-4da8952b8a4f.png" />个向量,向量<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5669fdbb-2d78-41ab-ba5f-2e2b1683d36d.png" />线性相关


6、【单选题】<img src="http://edu-image.nosdn.127.net/B1A788CB67E55C24855C2BCC96308A27.png?imageView&thumbnail=890x0&quality=100" />

A、A中任意m个列向量线性无关

B、A中存在m个列向量线性无关

C、A的行向量组线性相关

D、若存在n阶矩阵B,使得AB=0, 那么B=0


7、【单选题】已知向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ac73574e-feb6-449a-98df-0959c966aab2.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8ff1eea3-fac6-46cb-b678-a74fc8744dea.png" />,则

A、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0046d12a-441b-42f5-9d0f-f176a804d912.png" />线性相关;

B、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f18be312-dfef-4954-8fb8-75b074c454b6.png" />线性相关

C、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5f59bca1-c122-4719-ad5d-ec35fdacda87.png" />线性相关;

D、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5e7dbd11-8d7a-4c53-8825-d0b9b1644bc3.png" />可以由<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0046d12a-441b-42f5-9d0f-f176a804d912.png" />线性表出。


8、【单选题】已知向量<img style="border-bottom-color: currentColor; border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: currentColor; border-left-style: none; border-left-width: 0px; border-right-color: currentColor; border-right-style: none; border-right-width: 0px; border-top-color: currentColor; border-top-style: none; border-top-width: 0px; box-sizing: initial; color: rgb(102, 102, 102); font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; max-height: 520px; max-width: 520px; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; vertical-align: top; -webkit-text-stroke-width: 0px; white-space: pre-wrap; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_654d7710-2e7c-499d-87da-455a702f533c.png" />满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_10d7b5ed-869d-416b-84d4-dd06f9acf700.png" />,则

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f696bbf7-7fae-4e31-9fb8-97515179bed4.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_be397402-565c-4897-918d-187609d73aff.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4261f04e-82ba-41e7-8346-5d4d951da41d.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_65112e09-a1ce-4f6b-ab40-47d05b49e9a0.png" />


9、【单选题】设A为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a46d38c9-208d-4c43-9240-b61ccb9a543f.png" />阶矩阵,且R(A)=m, mn, 则下列说法正确的是

A、A的列向量组线性无关;

B、A的行向量组线性无关;

C、A的列向量组中任意一个向量均不能由其余向量线性表出;

D、A的行向量组中至少有一个向量可以由其余向量线性表出。


10、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_477d458b-00a6-4079-acf2-4c672fa2bbd3.png" />为n维列向量,且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0046d12a-441b-42f5-9d0f-f176a804d912.png" />线性相关, 则

A、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_477d458b-00a6-4079-acf2-4c672fa2bbd3.png" />的秩为4

B、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_477d458b-00a6-4079-acf2-4c672fa2bbd3.png" />的秩小于等于3

C、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_477d458b-00a6-4079-acf2-4c672fa2bbd3.png" />的秩等于3

D、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_477d458b-00a6-4079-acf2-4c672fa2bbd3.png" />的秩小于3


11、【单选题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7f2eb632-ebae-4db9-bec2-7a63a6b85b2a.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_36e6b12f-0c04-4f7c-9111-98a3f5a1e33e.png" />线性相关,则

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_57fa435f-b472-4e27-835e-df0b2e789a07.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d26c160d-e3ca-4307-8f89-a7f6504fa692.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e0808b70-5d90-4bdd-ad35-977c341d4771.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_706e97c7-c43a-452d-8356-adb8956bd70c.png" />


12、【单选题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e30186d6-e386-433a-8fa5-dbc5d632bf67.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ea8eb0e6-9bd5-4947-b3b6-1dccf5d5529f.png" />,则

A、a=0时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e60f94d9-4c75-4cc5-bdd9-e1062f75306a.png" />线性无关

B、a=-1时,<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e60f94d9-4c75-4cc5-bdd9-e1062f75306a.png" />线性无关

C、a=0时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />为<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e60f94d9-4c75-4cc5-bdd9-e1062f75306a.png" />的一个极大线性无关组

D、a=-1时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />为<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e60f94d9-4c75-4cc5-bdd9-e1062f75306a.png" />的一个极大线性无关组


13、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d94dea5b-c811-4c15-8fa0-28e7c17c4a32.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d74449bc-f498-43f0-8a1f-98b275c94d3d.png" />线性无关,则参数 t 的值为

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d5d5ce1e-adfb-4f4e-9d40-b407ff684545.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e1ad2994-8af5-49bb-9c7b-7fb8ccab3ba8.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_21f012cc-0abe-40d2-971b-fcb09ae8a5dc.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_40d07eb4-129e-444a-b3aa-e949b130bd6a.png" />


14、【单选题】<img src="http://edu-image.nosdn.127.net/2002D264ECCC627933372A71BC8E159B.png?imageView&thumbnail=890x0&quality=100" />

A、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />可由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />线性表出

B、向量组<img style="color: rgb(102, 102, 102); font-family: 宋体; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />和向量组<img style="color: rgb(102, 102, 102); font-family: 宋体; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />等价

C、向量组<img style="color: rgb(102, 102, 102); font-family: 宋体; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />可由向量组<img style="color: rgb(102, 102, 102); font-family: 宋体; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />线性表出

D、向量组<img style="color: rgb(102, 102, 102); font-family: 宋体; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />的秩为3


15、【单选题】<img src="http://edu-image.nosdn.127.net/702A9A28E5E07ED2CD3EA16967A03126.png?imageView

A、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6076142d-ae95-49e2-b228-2a01eec98133.png" />的秩为3

B、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6076142d-ae95-49e2-b228-2a01eec98133.png" />的一个极大线性无关组为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />

C、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6076142d-ae95-49e2-b228-2a01eec98133.png" />的一个极大线性无关组为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f107573d-4ce3-4907-9a3c-899913928f29.png" />

D、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6076142d-ae95-49e2-b228-2a01eec98133.png" />的一个极大线性无关组为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_236d6475-a780-46e3-9c53-61d453ec6946.png" />


16、【单选题】设n维向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />线性无关,则以下说法错误的是

A、向量组中增加一个向量仍线性无关

B、向量组中减少一个向量仍线性无关

C、向量组中任意一个向量都不能由其余向量线性表出

D、该向量组的极大线性无关组就是它本身


17、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9cbaafec-2717-4157-b1d3-b4193dcb6e77.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_99c0a4fa-9702-45a4-b537-64447bd872a4.png" />则

A、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />和向量组向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />不等价

B、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />和向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />等价

C、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />线性无关

D、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />线性无关


18、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0183585a-108f-4cec-aa96-ec51c9ea9951.png" />,向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24529b6e-60e8-4138-823b-7bd94704b82d.png" />为线性无关的3维列向量组,则向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5111fabc-51c6-44ab-975a-84ad7281e21f.png" />的秩为

A、1

B、2

C、2或者3

D、3


19、【单选题】已知向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0046d12a-441b-42f5-9d0f-f176a804d912.png" />线性无关,则

A、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b804ff67-fa1d-4c10-b803-b74d94e4d3b3.png" />线性相关

B、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4b3b8df5-00d5-4783-89f8-c7c0e8f62ca5.png" />线性相关

C、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2e927494-0241-4846-94b2-380fc3d8130d.png" />线性相关

D、向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1463d9a7-e32d-45cc-9b91-e0b0ff10abac.png" />线性相关


20、【单选题】已知向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0046d12a-441b-42f5-9d0f-f176a804d912.png" />线性无关,则以下线性无关的是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_34874771-d3ef-4fc3-9b7b-778a3e6c24a5.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_834f8ded-cc7b-416e-81f5-67e7ada71114.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_66ee40b4-4636-484c-b017-53a9aa437aa3.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cd7963d2-84db-4001-b3ae-a0d05c7dfb44.png" />


21、【单选题】设向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />,其一个极大线性无关组为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c8d1b7cf-3740-424d-b3b3-e642c5b80ce9.png" />,则以下说法错误的是

A、对任意<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_448f0a6c-3d3e-400f-aae6-538ed7dcf035.png" />向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7d4dabfd-e876-4b33-9192-f74ed33a3a57.png" />线性相关

B、对任意<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_448f0a6c-3d3e-400f-aae6-538ed7dcf035.png" />向量<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_283a17e0-be40-41bd-83a1-42a139d7d203.png" />, <img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_448f0a6c-3d3e-400f-aae6-538ed7dcf035.png" />均可由向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c8d1b7cf-3740-424d-b3b3-e642c5b80ce9.png" />线性表出

C、可能存在某个向量<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_283a17e0-be40-41bd-83a1-42a139d7d203.png" /> <img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_448f0a6c-3d3e-400f-aae6-538ed7dcf035.png" />,该向量不能由向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c8d1b7cf-3740-424d-b3b3-e642c5b80ce9.png" />线性表出

D、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />与向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c8d1b7cf-3740-424d-b3b3-e642c5b80ce9.png" />等价


22、【单选题】<img src="http://edu-image.nosdn.127.net/491FD03C9ABCAA1023D93B56ED76CA4E.png?imageView

A、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />线性无关,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />线性无关

B、若<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />线性相关,则<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />线性相关

C、<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />线性无关

D、<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed2c0c1a-e444-4316-a19a-ebe2b933ff92.png" />线性相关


23、【单选题】设矩阵A通过初等行变换化为B,则以下错误的是

A、矩阵A,B相应的列向量组等价

B、矩阵A,B相应的列向量组不等价

C、矩阵 A,B等价

D、矩阵A,B的秩相等


24、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_31060d20-ee1e-4a30-b496-e065b2892154.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a677408f-b8fc-4602-a6a9-5c94c15d90da.png" />线性相关,则参数 t 的值为

A、1

B、2

C、3

D、4


25、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1455dc25-a309-4123-a76b-72009ef3bfd0.png" />,则

A、A的行向量组线性无关

B、A的列向量组线性无关

C、A的列向量组中任意一个向量都可以由其余向量线性表出

D、A的行向量组中任意一个向量都可以由其余向量线性表出


26、【单选题】设三阶行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fb2c79bc-3382-4eef-8fee-ba13da3fd848.png" />,则

A、D中至少有一个行向量是其余向量的线性组合

B、D中每个列向量都是其余向量的线性组合

C、D中任意两个列向量都线性相关

D、D中任意两个行向量都线性相关


27、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />为n维向量,则该向量组线性相关的充要条件是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />中至少有一个向量能由其余向量线性表出

B、<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />中任意一个向量都能由其余向量线性表出

C、<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />中任意一个向量都不能由其余向量线性表出

D、<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />中任意一个部分组线性相关


28、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />为n维向量,则该向量组线性无关的充要条件是

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />均不为零向量

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />中任意两个向量线性无关

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />中任意一个向量都不能由其他向量线性表出

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" />中有一个部分组线性无关


29、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5b07ac6d-3f69-48e2-ac4f-1ffb9729b008.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2f36db00-b2b6-431d-852d-7f23bb3e023e.png" />

A、若a=0,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />线性相关

B、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1687b352-9054-4220-8bfe-45fcb3c28399.png" />则,<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />线性相关

C、若a=0,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2a5b3fd9-aca9-406e-bdb6-07c6e22bd205.png" />可由<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c903f6c4-a1c1-4f54-8a03-44a9fad2316e.png" />线性表出,且表示方式不唯一

D、若a=1,则<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />线性相关


30、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_540e9ae9-9d3c-4c62-9332-0dd7e2007263.png" width="60" height="23" />线性相关,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_16693d88-0ab8-4375-a23a-fb099663e026.png" width="60" height="23" />线性无关,则以下说法正确的是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8d051303-2111-4b8d-97c2-2b469d0dd6ee.png" width="68" height="18" />线性相关

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1fb1242f-4d1f-408a-99a3-e9ab4eb64523.png" width="68" height="18" />线性无关

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6c369d6a-d12f-4186-bb74-01909c023839.png" width="18" height="17" />可由<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c919bda5-4d1c-400e-9f96-43ea1422861d.png" width="60" height="23" />线性表示

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8b20b5a0-3c79-42b1-84fb-41d00892d307.png" width="11" height="23" />可由<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6a354d95-c738-4a44-8d67-0001e6af9e4c.png" width="43" height="18" />线性表示


31、【单选题】设向量组(1):<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0046d12a-441b-42f5-9d0f-f176a804d912.png" />与向量组 (2):<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9bd9139f-7e20-441d-8104-e0fd969f6100.png" /> 等价,则

A、向量组(1)线性无关

B、向量组(1)线性相关

C、向量组(2)线性无关

D、向量组(2)线性相关


32、【单选题】设A为<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a46d38c9-208d-4c43-9240-b61ccb9a543f.png" />阶矩阵,且R(A)=n, 则

A、A的列向量组线性无关;

B、A的行向量组线性无关;

C、A的行向量组中至少有一个向量可以由其余向量线性表出;

D、A的列向量组中至少有一个向量可以由其余向量线性表出;


33、【单选题】已知向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_654d7710-2e7c-499d-87da-455a702f533c.png" />满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_deaae092-e6e5-4abf-9636-93b2ae94a64f.png" />,则

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_10d7b5ed-869d-416b-84d4-dd06f9acf700.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b65df0d6-6249-4ced-a56b-507dc74f6846.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f802e021-27b4-4385-8b8a-34e22b9dc14c.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_540591a9-6d28-442d-9dc6-ded0d300d9de.png" />


34、【单选题】<img src="http://nos.netease.com/edu-image/889609ce7ca344f3ae017f589cb78a5b.png" style="width: 422px; height: 34px;" />

A、<img src="http://nos.netease.com/edu-image/0fa742d597394f5f8b32447548b176b2.png" />

B、<img src="http://nos.netease.com/edu-image/80abc59dc423457eae0919ba8c460617.png" />

C、<img src="http://nos.netease.com/edu-image/8424cf16acbc4f3aa038fdfc132c7ac6.png" />

D、<img src="http://nos.netease.com/edu-image/ba2c65267f4e4d3aa13f78ef06cf55a0.png" />


35、【单选题】<img src="http://nos.netease.com/edu-image/a3ef8a3f78854e5d92411a405a0d168f.png" />

A、4

B、2

C、3

D、1


36、【单选题】<img src="http://nos.netease.com/edu-image/8654061daafe4a8fb115e360f5e76f9a.png" />

A、4

B、2

C、3

D、1


37、【单选题】<img src="http://nos.netease.com/edu-image/7af2e6dea28c44c098e1b9336de87e41.png" style="width: 448px; height: 45px;" />

A、<img src="http://nos.netease.com/edu-image/579edc312e5c4f4e849416c1bc221535.png" />

B、<img src="http://nos.netease.com/edu-image/94fc6ad8f5604095bb0bf9f0d28afc44.png" />

C、<img src="http://nos.netease.com/edu-image/892f4266a21c43bcbab38b58e601bcdf.png" />

D、<img src="http://nos.netease.com/edu-image/d617403a0e954c89ba21e727085256a3.png" />


38、【单选题】<img src="http://nos.netease.com/edu-image/cd493a1d314d40468948ccf4d00e62c5.png" />

A、<img src="http://nos.netease.com/edu-image/ddc3d83df9c04dbba4455029be045c9e.png" style="width: 502px; height: 52px;" />

B、<img src="http://nos.netease.com/edu-image/4b8b6ea84fb0434da4125f626172a649.png" style="width: 588px; height: 92px;" />

C、<img src="http://nos.netease.com/edu-image/3f6832140cbb48eb849d441d785359db.png" style="width: 591px; height: 91px;" />

D、<img src="http://nos.netease.com/edu-image/77ffb27cea074efcbaff1141684eb2a2.png" style="width: 590px; height: 53px;" />


39、【单选题】<img src="http://nos.netease.com/edu-image/294bb5a3b7fb435a9c3526910d2a51d8.png" />

A、<img src="http://nos.netease.com/edu-image/375143a122b045bf9f812302f1fda1c4.png" />

B、<img src="http://nos.netease.com/edu-image/27279d29c5554492adb48e71be243565.png" />

C、<img src="http://nos.netease.com/edu-image/e6ac1426af50402fab026e8c1f95b852.png" />

D、<img src="http://nos.netease.com/edu-image/ce08b0ae67fd436abfa4c2750bf28a3c.png" />


40、【单选题】<img src="http://nos.netease.com/edu-image/d3bc98f53dd94b5fb8320a97509bceb4.png" style="width: 523px; height: 31px;" />

A、<img src="http://nos.netease.com/edu-image/9cf46da839184828ae053b3834e59bfe.png" style="width: 305px; height: 40px;" />

B、两个向量组的秩都是5

C、<img src="http://nos.netease.com/edu-image/6af4b98b6bfe49768bff7ad27d04771e.png" style="width: 271px; height: 41px;" />

D、<img src="http://nos.netease.com/edu-image/52b886702b9047eea42201cf462fd346.png" style="width: 149px; height: 33px;" />


41、【单选题】<img src="http://nos.netease.com/edu-image/d3f05a8b42da40e38ba631fab717908a.png" style="width: 661px; height: 53px;" />

A、<img src="http://nos.netease.com/edu-image/3de03dcb0ba64e6a8bd18f0451d267f5.png" />

B、<img src="http://nos.netease.com/edu-image/8d8d1c58651e42f0a116553d6cf3c01d.png" />

C、<img src="http://nos.netease.com/edu-image/f174a0bc503543228517653369fd5742.png" style="width: 634px; height: 54px;" />

D、<img src="http://nos.netease.com/edu-image/3c1b7f52e6344a1bb30c64dcbaca75b6.png" />


42、【单选题】<img src="http://nos.netease.com/edu-image/ffc26169b73649e0998c82c9a3a4925c.png" style="white-space: normal; width: 661px; height: 81px;" />

A、1

B、4

C、3

D、2


43、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" style="white-space: normal;" />为n维列向量,则

A、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" style="white-space: normal;" />线性相关,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_84643eb7-66d5-4276-bde4-1647b09ad58e.png" style="white-space: normal;" />线性相关

B、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" style="font-variant-numeric: normal; font-variant-east-asian: normal; white-space: normal; font-family: sans-serif;" />线性无关,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_84643eb7-66d5-4276-bde4-1647b09ad58e.png" style="font-variant-numeric: normal; font-variant-east-asian: normal; white-space: normal; font-family: sans-serif;" />线性无关

C、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_84643eb7-66d5-4276-bde4-1647b09ad58e.png" style="font-variant-numeric: normal; font-variant-east-asian: normal; white-space: normal; font-family: sans-serif;" />线性相关,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" style="font-variant-numeric: normal; font-variant-east-asian: normal; white-space: normal; font-family: sans-serif;" />线性相关

D、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_84643eb7-66d5-4276-bde4-1647b09ad58e.png" style="font-variant-numeric: normal; font-variant-east-asian: normal; white-space: normal; font-family: sans-serif;" />线性相关,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_24201e73-a6c7-4d18-baf5-f31b8cd88ba7.png" style="font-variant-numeric: normal; font-variant-east-asian: normal; white-space: normal; font-family: sans-serif;" />线性无关


44、【单选题】A为n阶方阵,若非零向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_42cc1a10-7eea-423a-94d7-20de12cf3e24.png" style="white-space: normal;" />满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ec4aa639-42c4-4caf-a0d0-598a30475e5f.png" style="white-space: normal;" />,则

A、A不是满秩矩阵

B、A的行向量组线性无关

C、A的列向量组线性无关

D、A的行向量组中任意一个向量均可以由其余向量线性表出


45、【单选题】<img src="http://edu-image.nosdn.127.net/2B9504B554EC4DAFF72BE6B759CF8F71.png?imageView" />

A、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f1aea2e8-4b9e-4ab7-97b9-911044429deb.png" style="white-space: normal;" />不能由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" style="white-space: normal;" />线性表出

B、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fd3d6744-ff46-40ae-aed8-2197a3a45b54.png" style="white-space: normal;" />可以由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0db5e00d-f69d-4105-a2df-73c3993225bc.png" />线性表出

C、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_63326f32-61d2-4c01-b644-5a9176dece5b.png" style="font-family: sans-serif; white-space: normal;" />不能由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8109e1f5-e47f-4427-bd77-52c4849464d2.png" style="font-family: sans-serif; font-variant-numeric: normal; font-variant-east-asian: normal; white-space: normal;" />线性表出

D、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_28ef3049-b83e-4f52-9a47-c1de01037eb3.png" style="font-family: sans-serif; white-space: normal;" />可以由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f107573d-4ce3-4907-9a3c-899913928f29.png" style="font-family: sans-serif; white-space: normal;" />线性表出


第三章 线性方程组 单元测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/6908DF62B020233B5A6097CB7DB67018.png?imageView

A、<img src="http://edu-image.nosdn.127.net/2D4E27557E5289AED6981256E8A81C29.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5523648B943F875E15384B0B7B022995.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/5716BD798F80FFA67EC900F07122D7E2.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/9D38B04AEE6A11F0B18C43AAD781678B.png?imageView&thumbnail=890x0&quality=100" />


2、【单选题】<img src="http://edu-image.nosdn.127.net/4357632E7EF3EFDCE1751B73E147B276.png?imageView&thumbnail=890x0&quality=100" />

A、如果系数行列式不等于0,则方程组必有无穷多解

B、如果系数行列式等于0,则方程组必有惟一解

C、如果系数行列式等于0,则方程组无解

D、如果系数行列式不等于0,则方程组只有零解


3、【单选题】设A是m行n列矩阵,R(A)=r,则下列正确的是

A、Ax=0的基础解系中的解向量个数可能为n-r,也可能是r

B、Ax=0的基础解系中的解向量个数不可能为n-r

C、Ax=0的基础解系中的解向量个数一定为n-r

D、Ax=0的基础解系中的解向量个数为不确定


4、【单选题】解方程时,当把齐次线性方程组的系数矩阵化为阶梯形时

A、只能进行初等行变换

B、只能进行初等列变换

C、不能进行初等行变换

D、可以进行初等行和初等列变换


5、【单选题】<img src="http://edu-image.nosdn.127.net/C0D7B9D30F9C095C0DFF1D3456E864B1.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/938D989387F5EB4CBB7AC579B4CE14B4.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5AC3C88852A851F859EFED69D94299E1.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/E9D4AB1B8FEE08853D6EACD2EF344C59.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/ABFD21C2E1CCF67254F55740218F0B79.png?imageView&thumbnail=890x0&quality=100" />


6、【单选题】<img src="http://edu-image.nosdn.127.net/DEBF01B393F3CE70077D2974F8357D66.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/410EAC1D206F337D549CFECBD2A5F586.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F4F089C50707DA32A57877127E1D2B3A.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8CAB47E7DBB85475170AB0F72DCF7336.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/E6DC75DE1052AC64FCCE6113FBF4E0C1.png?imageView&thumbnail=890x0&quality=100" />


7、【单选题】下列关于线性方程组的说法不正确的是

A、齐次方程组Ax=0有非零解的充分必要条件是R(A)大于未知量的个数

B、非齐次线性方程组Ax=B有解的充分必要条件是系数矩阵与增广矩阵有相等的秩

C、如果R[A B]=R(A)=n(n为未知数的个数),则方程组Ax=B有惟一的解

D、如果R[A B]=R(A)=n(n小于未知数的个数),则方程组Ax=B有无穷多解


8、【单选题】<img src="http://edu-image.nosdn.127.net/F4F25FAAF05E83684565A5FB96B35E23.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/9731102A41C461F48A41A9077FC44B81.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/2C731EC05692999101133AE63745500D.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/0D9D8D7D7E483CB818CEE7CA44F54740.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4E2996708C8E1DB6A70A01DBA30AED84.png?imageView&thumbnail=890x0&quality=100" />


9、【单选题】<img src="http://edu-image.nosdn.127.net/2C2959F1F4DBFF57E035751F2072D9B3.png?imageView

A、<img src="http://edu-image.nosdn.127.net/5EBD458D8F12C09925941325655F19E0.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/D81D18AC05A2588547A862512D203DB2.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/02F55AA758C8CD5CC9EDB6D659304BBC.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/3167A5EB1E9D575A37875715229414A7.png?imageView&thumbnail=890x0&quality=100" />


10、【单选题】<img src="http://edu-image.nosdn.127.net/B1C2E579A71393122A905DA2FF4245C4.png?imageView height: 87px;" />

A、<img src="http://edu-image.nosdn.127.net/344A6528467DFAE62AC1C00EC68BDF4A.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/BA6F109154F17E2295C31903EB6D8C80.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/AAFE3464424CB9D62D2BCE6F736D9A40.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/EB15333C1CA59F7FF5BC9A8AFECAE401.png?imageView&thumbnail=890x0&quality=100" />


11、【单选题】下列说法不正确的是

A、<img src="http://edu-image.nosdn.127.net/FAC75A4173A70B81D28ACE62072224EA.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/76A0329A237FBB8F1EA84D8B1496D20F.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/081AB4C6F48B80AEC9691ED8012D0A15.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/8F06BE33EADCC9B944E9A36FBBD96845.png?imageView&thumbnail=890x0&quality=100" />


12、【单选题】<img src="http://edu-image.nosdn.127.net/128F72CE8A050846232EF55357761590.png?imageView

A、<img src="http://edu-image.nosdn.127.net/53CF95F1AE8748545DF964A38EE0655F.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/264EFC53802D9C9A79B1C35AA43FD88B.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/F00D5EC3FE2D5595EBC5D8266988AFE1.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/82DD1874B4B6DBD935350B956693B35F.png?imageView&thumbnail=890x0&quality=100" />


13、【单选题】非齐次线性方程组Ax=B中,系数矩阵A和增广矩阵的秩都等于4,A是4×6矩阵,则

A、无法确定方程组是否有解

B、方程组有无穷多解

C、方程组有惟一解

D、方程组无解


14、【单选题】<img src="http://edu-image.nosdn.127.net/6AAB89B5CF648E158522BF4134547A37.png?imageView height: 74px;" />

A、n-3

B、m-3

C、3

D、m-n


15、【单选题】<img src="http://edu-image.nosdn.127.net/F800C81A2F86D205292C9F70369FD87A.png?imageView&thumbnail=890x0&quality=100" />

A、有无穷多解

B、有唯一解

C、无解

D、无法判断解的情况


16、【单选题】设A是m×n的矩阵,且m n,则

A、Ax=0仅零解

B、Ax=B可能无解

C、Ax=B必有惟一解

D、Ax=B必有无穷解


17、【单选题】x1、x2是AX=0的两个不对应成比例的解,其中A为n阶方阵,则基础解系中向量个数为

A、至少2个

B、无基础解系

C、至少1个

D、n-1


18、【单选题】<img src="http://edu-image.nosdn.127.net/23B52B7546D66F655F351AE8B2EC2E06.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/1D37B920E56AFC4F5E8B2502093F8D02.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/3952C2B8BA7549144DCBC51F4A3C8B0D.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/1C2840D9A4CDF69AF9D1A861F2C8B339.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/AA99A5549A2238086F9392E3A52F40B0.png?imageView&thumbnail=890x0&quality=100" />


19、【单选题】<img src="http://edu-image.nosdn.127.net/8237B6A226B2129370343591F9D98698.png?imageView height: 76px;" />

A、<img src="http://edu-image.nosdn.127.net/FFE9EA70D0BC2B2BD73E6FA1AB359C62.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0586972637B711564D91B24744B6DF7E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/D00036E6AB5DA536A41CB88D1DE42C81.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/DDB533DE8502FE3FBE7FBC7CFF0E5A49.png?imageView&thumbnail=890x0&quality=100" />


20、【单选题】下列说法不正确的是

A、<img src="http://edu-image.nosdn.127.net/20C8CC0DDE159F60F86B74B852F362FA.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/78048E0B4D20511693ADABA9998D2780.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8CF16818ED95629641653261A931C9B5.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/59F528A781B93C59CD31E46C924F808A.png?imageView&thumbnail=890x0&quality=100" style="width: 659px; height: 87px;" />


21、【单选题】<img src="http://edu-image.nosdn.127.net/7DA0763E01BC13871FCF67593D8E96A1.png?imageView&thumbnail=890x0&quality=100" />

A、-1

B、1

C、-2

D、2


22、【单选题】<img src="http://edu-image.nosdn.127.net/F9C04EB0AB81BA964B41699AC8A8A094.png?imageView height: 102px;" />

A、<img src="http://edu-image.nosdn.127.net/B1018725A4B1731B033391506C91753C.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/FFA9953A747F3F8A8D4C202BA90C8130.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/026BA0D5F098ACA31ED4A255497641DE.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/5B24C6501D56137361463CDF30475B94.png?imageView&thumbnail=890x0&quality=100" />


23、【单选题】设A为m×n矩阵,方程Ax=0仅有零解的充分必要条件是

A、A的行向量组线性无关

B、A的行向量组线性相关

C、A的列向量组线性无关

D、A的列向量组线性相关


24、【单选题】设A是3×4矩阵,A的秩为1,则齐次线性方程组Ax=0的一个基础解系中含有解的个数为

A、3

B、2

C、1

D、0


25、【单选题】<img src="http://edu-image.nosdn.127.net/9803D3FC7FB2FF1C770DCBA30B30C99C.png?imageView

A、<img src="http://edu-image.nosdn.127.net/78CE4CD9F621AC20C79F63F5684E9DCB.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/75E332329201F677B1D28972369457DB.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/D7105476043914B8152D86E711C4976D.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/465650A39414BDA1CCA2D0E9457A0F52.png?imageView&thumbnail=890x0&quality=100" />


26、【单选题】<img src="http://edu-image.nosdn.127.net/F3F216B4BC74D424560E23ED476669BD.png?imageView&thumbnail=890x0&quality=100" />

A、0

B、2

C、1

D、3


27、【单选题】<img src="http://edu-image.nosdn.127.net/AEB18B71F405C8D75FF7C55EC0D07ABB.png?imageView height: 149px;" />

A、a≠1,R(A)=R[A B]=4

B、a≠1,R(A)=R[A B]=3

C、a=1时,R(A)= 2,R[A B]≥3

D、a=1时,R(A)= 2,R[A B]=3


28、【单选题】<img src="http://edu-image.nosdn.127.net/59AA60439EE2C1153337A7B1213C914A.png?imageView

A、<img src="http://edu-image.nosdn.127.net/7AA2F3E1FC0E47F6C343B4C648A72B0C.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/86C12734962597F3583F76BE853EF6D3.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/EF6DCB7DB9CBF9E5EC680B37B3F45904.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/1526E4F5A366B8E7BD9375343E0319C0.png?imageView&thumbnail=890x0&quality=100" />


29、【单选题】设A为m行n列矩阵,齐次线性方程组Ax=0有非零解的充分必要条件是A的

A、列向量组线性相关

B、列向量组线性无关

C、行向量组线性无关

D、行向量组线性相关


30、【单选题】对于n元齐次线性方程组Ax=0,以下命题中,正确的是

A、若A的列向量组线性无关,则Ax=0有非零解

B、若A的行向量组线性无关,则Ax=0有非零解

C、若A的列向量组线性相关,则Ax=0有非零解

D、若A的行向量组线性相关,则Ax=0有非零解


31、【单选题】<img src="http://edu-image.nosdn.127.net/B756DA638F4BB117337C2A6524B106C5.png?imageView height: 74px;" />

A、<img src="http://edu-image.nosdn.127.net/D13AFFA163D4526DCEA1BC7B6B18BA76.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/BF7E424489004FC871AD9DE822F53333.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/CCE55ADDCFE71B78846257979D3D257D.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/E249EA80A6B39AC024BAEC36AD497555.png?imageView&thumbnail=890x0&quality=100" />


32、【单选题】<img src="http://edu-image.nosdn.127.net/24D30DA99F0B8FFBD7C8F22C7F6E4855.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/75237EFFEF340BBFBD00ACC0E5FB2ACF.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/20A1C189D49CDFBC0D23F289A54A3547.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/137AE8202B880B6EA12BC185D08D58E8.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/DB2DB961101B45EAF4158CD2D45DEDFA.png?imageView&thumbnail=890x0&quality=100" />


33、【单选题】<img src="http://edu-image.nosdn.127.net/44408D1369ACDA9284CAA47B4073ECD7.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/12E366BC95AC8C0E8BB5071F4E3E490C.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/ACA6F8C9070CB7A3EB3671F95F6AB506.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8E0BC3E22EA133D3619C9D228EC264C5.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/2C846BA6D0C9475376C08AD99844959B.png?imageView&thumbnail=890x0&quality=100" />


34、【单选题】<img src="http://edu-image.nosdn.127.net/2B9504B554EC4DAFF72BE6B759CF8F71.png?imageView&thumbnail=890x0&quality=100" />

A、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f1aea2e8-4b9e-4ab7-97b9-911044429deb.png" />不能由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed07c392-eb88-4996-b9c1-104df2aa4efb.png" />线性表出

B、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fd3d6744-ff46-40ae-aed8-2197a3a45b54.png" />可以由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0db5e00d-f69d-4105-a2df-73c3993225bc.png" />线性表出

C、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_63326f32-61d2-4c01-b644-5a9176dece5b.png" />不能由向量组<img style="text-align: left; color: rgb(102, 102, 102); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; text-decoration: none; word-spacing: 0px; white-space: normal; orphans: 2; -webkit-text-stroke-width: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8109e1f5-e47f-4427-bd77-52c4849464d2.png" />线性表出

D、向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_28ef3049-b83e-4f52-9a47-c1de01037eb3.png" />可以由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f107573d-4ce3-4907-9a3c-899913928f29.png" />线性表出


35、【单选题】A为n阶方阵,若非零向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_42cc1a10-7eea-423a-94d7-20de12cf3e24.png" />满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ec4aa639-42c4-4caf-a0d0-598a30475e5f.png" />,则

A、A不满秩

B、A的行向量组线性无关

C、A的列向量组线性无关

D、A的行向量组中任意一个向量均可以由其余向量线性表出


36、【单选题】<img src="http://nos.netease.com/edu-image/ed6fe39d375c4c8fb130b510a6928cb2.png" width="428" height="32" style="width: 585px; height: 52px;" />

A、<img src="http://nos.netease.com/edu-image/1964a80e49994d12a6a2413675d0d29d.png" width="138" height="22" />

B、<img src="http://nos.netease.com/edu-image/155d5296bbd748eb9ad0ee58567c1126.png" width="140" height="22" />

C、<img src="http://nos.netease.com/edu-image/5efe640582d44543ae1e092d135895b5.png" width="136" height="23" />

D、<img src="http://nos.netease.com/edu-image/faea2a563daf405982f585e2c0156205.png" width="138" height="23" />


37、【单选题】<img src="http://nos.netease.com/edu-image/e0186cddc3d6497b8ef81520e22997b0.png" width="423" height="32" style="width: 443px; height: 41px;" />

A、<img src="http://nos.netease.com/edu-image/f2af34c8cf2c43a6bfc1f5347db25792.png" width="328" height="34" />

B、<img src="http://nos.netease.com/edu-image/867cf20358de40718ce42f6a32030094.png" width="263" height="33" />

C、<img src="http://nos.netease.com/edu-image/09ebed3597684e08a94c8a00622e9d31.png" width="224" height="31" />

D、<img src="http://nos.netease.com/edu-image/cc06b229c2064364849bbda9a2a76dfc.png" width="220" height="24" />


38、【单选题】<img src="http://nos.netease.com/edu-image/bbad532fc1b548e8864108a542503a3c.png" width="511" height="130" />

A、<img src="http://nos.netease.com/edu-image/ac1506bfe078412b9262bd1c715003fb.png" width="120" height="31" />

B、<img src="http://nos.netease.com/edu-image/c05e148d4c2e47ad973f424c511f9dea.png" width="139" height="28" />

C、<img src="http://nos.netease.com/edu-image/45eb4a3908dd4af7be3a9b1d4582c79b.png" width="134" height="40" />

D、<img src="http://nos.netease.com/edu-image/97830659b6de4ec89cdbcc8f70dab47f.png" width="120" height="38" />


39、【单选题】<img src="http://nos.netease.com/edu-image/b172c0dfdd3a4b9aaa5ba73400fbf3df.png" width="531" height="68" />

A、<img src="http://nos.netease.com/edu-image/ca80965bd3a14ab6b420552f2d0c7f9c.png" width="74" height="36" />

B、<img src="http://nos.netease.com/edu-image/5c92a5e72e6a4c8b86aecf6081803761.png" width="38" height="33" />

C、<img src="http://nos.netease.com/edu-image/e91604a345c14f65b97d9c4da5b123cc.png" width="30" height="29" />

D、<img src="http://nos.netease.com/edu-image/fbec09ee5a084ae39d4bcf79cc036ec8.png" width="73" height="35" />


40、【单选题】<img src="http://nos.netease.com/edu-image/808e65a4b58d4a579b3773b28ca83ec1.png" width="526" height="190" style="width: 563px; height: 161px;" />

A、2

B、0

C、1

D、3


41、【单选题】<img src="http://nos.netease.com/edu-image/3d3a55af46514e018bcc826e77220f11.png" width="525" height="48" />

A、<img src="http://nos.netease.com/edu-image/78c2ca3ad1794ddeacf0f054c109eb0d.png" width="177" height="29" />

B、<img src="http://nos.netease.com/edu-image/bacd4a2e2dc24ef9bbf004e536d2c880.png" width="200" height="33" />

C、<img src="http://nos.netease.com/edu-image/546aa4a120874f408fd438d74182b579.png" width="202" height="30" />

D、<img src="http://nos.netease.com/edu-image/6b842a065da641fd92461846763a1b8e.png" width="223" height="38" />


42、【单选题】<img src="http://nos.netease.com/edu-image/15cf15ddbf054e4ea4f4c15eb332da88.png" width="532" height="56" />

A、<img src="http://nos.netease.com/edu-image/bec06fba35004c1f9751acf8d4b4b91f.png" width="198" height="33" />

B、<img src="http://nos.netease.com/edu-image/64e69cfafbe94ad785298cebdd1eb972.png" width="108" height="33" />

C、<img src="http://nos.netease.com/edu-image/8ef5cb38e57c4478927c4d9c4efbd494.png" width="126" height="34" />

D、<img src="http://nos.netease.com/edu-image/fd478b43253141bfa03efd5b033d03f8.png" width="194" height="31" />


43、【单选题】<img src="http://nos.netease.com/edu-image/1bcffd5f5375469d92d38fd4fd1ecfc6.png" width="479" height="33" />

A、<img src="http://nos.netease.com/edu-image/262bce2efa3643e0a3eb647d7903eaed.png" width="334" height="25" />

B、<img src="http://nos.netease.com/edu-image/e776b0646b3c455f8caf06f5e7135f5c.png" width="238" height="30" />

C、<img src="http://nos.netease.com/edu-image/d630824fe57946448877720e582bbe6a.png" width="266" height="28" />

D、<img src="http://nos.netease.com/edu-image/793b29689eca4d428f143a79d3e18aa4.png" width="328" height="35" />


44、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9abbb68c-3474-4eb3-8a56-8f2abbbde5bd.png" width="63" height="23" />总有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_862281d4-77fc-401e-8846-573aa2686376.png" width="62" height="23" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_559c9626-7b0d-4b68-ab91-9beca1075c21.png" width="52" height="19" />( )

A、仅有零解

B、有非零解

C、无解

D、不知道


45、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5e327954-afb7-4092-bc22-029e504d7be2.png" width="52" height="19" />,其中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5b51ec48-16eb-4aba-be50-428783e7cd29.png" width="42" height="23" />,且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_22e68f4b-9916-4ec5-afde-eac9d458d789.png" width="51" height="17" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e2c950b8-0cf1-43a0-9aa9-6c584e94f2af.png" width="62" height="19" />( )

A、有非零解

B、仅有零解

C、无解

D、不知道


46、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5e327954-afb7-4092-bc22-029e504d7be2.png" width="52" height="19" style="white-space: normal;" />仅有零解,则以下说法正确的是( )

A、A的列向量组线性无关

B、A的行向量组线性无关

C、A的列向量组线性相关

D、A的行向量组线性相关


47、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4303492c-6448-4d87-8248-181f9f7b61b0.png" width="51" height="19" />,其中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5b51ec48-16eb-4aba-be50-428783e7cd29.png" width="42" height="23" style="white-space: normal;" />,且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9ef5875e-f569-4bb0-b974-902e0efd01ba.png" width="74" height="25" />,则( )

A、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bbae20fd-1c30-44de-899b-49febb0d27c8.png" width="91" height="23" />有唯一解

B、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c8dda2a6-e438-4917-87ac-ee2ae762bad7.png" width="118" height="23" />有唯一解

C、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c79a5ca4-353a-4578-a4a3-5b14ee47da06.png" width="101" height="23" />有无穷解

D、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6825cb95-26ef-4c95-b2f8-4a16b110b3bb.png" width="96" height="23" />有解


48、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0f5faaeb-6bef-4227-975f-652315b79fde.png" width="52" height="19" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_df68779a-bd0c-40a5-a0ad-85f31286c5fc.png" width="61" height="19" />的导出组,则( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0f5faaeb-6bef-4227-975f-652315b79fde.png" width="52" height="19" style="white-space: normal;" />有非零解时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_df68779a-bd0c-40a5-a0ad-85f31286c5fc.png" width="61" height="19" style="white-space: normal;" />有无穷解

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_df68779a-bd0c-40a5-a0ad-85f31286c5fc.png" width="61" height="19" style="white-space: normal;" />有无穷解时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0f5faaeb-6bef-4227-975f-652315b79fde.png" width="52" height="19" style="white-space: normal;" />有非零解

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0f5faaeb-6bef-4227-975f-652315b79fde.png" width="52" height="19" style="white-space: normal;" />仅有零解时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_df68779a-bd0c-40a5-a0ad-85f31286c5fc.png" width="61" height="19" style="white-space: normal;" />有唯一解

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_df68779a-bd0c-40a5-a0ad-85f31286c5fc.png" width="61" height="19" style="white-space: normal;" />有无穷解时,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0f5faaeb-6bef-4227-975f-652315b79fde.png" width="52" height="19" style="white-space: normal;" />仅有零解


第四章 方阵对角化和二次型 单元测试

1、【单选题】设向量空间V的一组基为 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_313e1386-3c37-4f86-ab90-237ed0c0ee7a.png" />,则向量 (2,3,1)在该组基下的坐标为

A、(1,2)

B、(2,1)

C、(3,0)

D、(2,-1)


2、【单选题】由向量组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_313e1386-3c37-4f86-ab90-237ed0c0ee7a.png" width="221" height="25" />生成的向量空间的维数是

A、1

B、2

C、3

D、4


3、【单选题】<img src="http://nos.netease.com/edu-image/a0ee3659539c496ca83a2723210eb4f2.png" height="27" width="412" >

A、<img src="http://nos.netease.com/edu-image/90d4da1d99be40649878e4bf75001d57.png" height="35" width="74" >

B、<img src="http://nos.netease.com/edu-image/96dbea63713c4bfdb0795b355421bdad.png" height="31" width="207" >

C、<img src="http://nos.netease.com/edu-image/89d3e25112de429ba65e5674345f0c8b.png" height="32" width="66" >

D、<img src="http://nos.netease.com/edu-image/d9afa3f9e52c4061bcae5b55197359e5.png" height="27" width="207" >


4、【单选题】<img src="http://nos.netease.com/edu-image/2d9b55903ffe4f44acc15628964db872.png" height="81" width="399" >

A、<img src="http://nos.netease.com/edu-image/1b1cfccc1c9d495ca91b2636a0368077.png" height="29" width="112" >

B、<img src="http://nos.netease.com/edu-image/899b59b8cf0042aab45b772664156421.png" height="32" width="124" >

C、<img src="http://nos.netease.com/edu-image/9d66aea278774f99bd572d3b347f1396.png" height="26" width="112" >

D、<img src="http://nos.netease.com/edu-image/aad812e8c9534ed9888dc67cfcd537d9.png" height="34" width="116" >


5、【单选题】<img src="http://nos.netease.com/edu-image/d23509fdfbfb4dc3880b94a6fca3fd7a.png" width="526" height="30" />

A、<img src="http://nos.netease.com/edu-image/0d33af30d05f4519b7135fd61a67cb7e.png" width="70" height="41" />

B、<img src="http://nos.netease.com/edu-image/350f0250630242069e58a367059b00c6.png" width="76" height="43" />

C、<img src="http://nos.netease.com/edu-image/3e87b28e7d54429da4b5095951ba1383.png" width="62" height="34" />

D、<img src="http://nos.netease.com/edu-image/b5923305c98c42cfadba95c860893e4e.png" width="63" height="38" />


6、【单选题】<img src="http://nos.netease.com/edu-image/e8a8de79ef3445f998292d79677bdd76.png" width="526" height="96" />

A、0

B、1

C、2

D、3


7、【单选题】<img src="http://nos.netease.com/edu-image/01762b71eaee4b478e9b5bd3cee77042.png" width="526" height="40" />

A、<img src="http://edu-image.nosdn.127.net/73DDC0ABECE23C3AC7D5E21A38C4E44A.png?imageView&thumbnail=890x0&quality=100" style="font-family: sans-serif; font-size: 14px; white-space: normal; width: 186px; height: 30px;" />

B、<img src="http://edu-image.nosdn.127.net/5B731218E9DBA309180D662A60D8A0A6.png?imageView&thumbnail=890x0&quality=100" style="font-family: sans-serif; font-size: 14px; white-space: normal; width: 69px; height: 26px;" />

C、<img src="http://edu-image.nosdn.127.net/ACB929462CD63D758D6185680D130ED4.png?imageView&thumbnail=890x0&quality=100" style="font-family: sans-serif; font-size: 14px; white-space: normal; width: 159px; height: 28px;" />

D、<img src="http://edu-image.nosdn.127.net/B98A4A1448B1827541A0D73B38C65B89.png?imageView&thumbnail=890x0&quality=100" style="font-family: sans-serif; font-size: 14px; white-space: normal; width: 182px; height: 28px;" />


8、【单选题】<img src="http://nos.netease.com/edu-image/cf65c220cde4476e80f20b0a9ea32105.png" width="518" height="37" />

A、5,5,1

B、5,-5,1

C、5,-5,-1

D、1,5


9、【单选题】<img src="http://edu-image.nosdn.127.net/48B90EAE9D052D4629B3346083027E15.png?imageView

A、5

B、0

C、1

D、无法计算


10、【单选题】<img src="http://edu-image.nosdn.127.net/20BC233BEE0FE0F0F82D65BE4EB0D040.png?imageView height: 82px;" />

A、大于1

B、大于等于1

C、大于-1

D、大于0


11、【单选题】<img src="http://edu-image.nosdn.127.net/25984E952E4806C20CA560081D5D8719.png?imageView

A、<img src="http://edu-image.nosdn.127.net/20B4368E957CF81E8E8E989484AC7EBB.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/FCAEC6ADEAEEBC64736AAE462AF7E66F.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/A1DEB6217F7CD3C390E15DC382E84E32.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/9009FD550A19E4BCB0650A387DD1019B.png?imageView&thumbnail=890x0&quality=100" />


12、【单选题】<img src="http://edu-image.nosdn.127.net/E74DC54C7179A235EB3C64BEA4D5BC24.png?imageView

A、A和B的特征向量相同

B、A和B的特征值相同

C、A和B的秩相同

D、A和B的特征多项式相同


13、【单选题】<img src="http://edu-image.nosdn.127.net/08F2AE136350B87D1869D40E74F461B2.png?imageView

A、4

B、2

C、1

D、0


14、【单选题】<img src="http://edu-image.nosdn.127.net/F979A8ECC38D9A9B7102625B1EAD6888.png?imageView&thumbnail=890x0&quality=100" />

A、-1

B、0

C、n

D、无法计算


15、【单选题】<img src="http://edu-image.nosdn.127.net/86DDD9DAF6D7C1AF702EF85636F48AA3.png?imageView&thumbnail=890x0&quality=100" />

A、2

B、3

C、1

D、0


16、【单选题】<img src="http://edu-image.nosdn.127.net/BE292EC14E68D0CB936D9DCBE439EDF8.png?imageView width: 682px; height: 35px;" />

A、1/4,-1/4,-1/2

B、4,-2,-4

C、-1,2,-2

D、-1,1/2,-1/2


17、【单选题】如果( ),则矩阵A与矩阵B相似。

A、n阶矩阵A与B有相同的特征值且n个特征值各不相同;

B、A和B的行列式相同;

C、A和B的秩相同;

D、A和B的特征多项式相同;


18、【单选题】<img src="http://edu-image.nosdn.127.net/19B8AF7DADA3B143174F315BA03828CA.png?imageView width: 477px; height: 30px;" />

A、4

B、-4

C、2

D、-2


19、【单选题】<img src="http://edu-image.nosdn.127.net/E222F1A2E2067FAE88F320C35AD3D9C7.png?imageView width: 612px; height: 31px;" />

A、1

B、0

C、2

D、3


20、【单选题】<img src="http://edu-image.nosdn.127.net/57717270714A2B6F3C569A66F880D033.png?imageView" />

A、<img src="http://edu-image.nosdn.127.net/E6DABE0F862226112606EE70D68A9C57.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal;" />

B、<img src="http://edu-image.nosdn.127.net/463A24877D56B24FAC4954FCA320AF3F.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal;" />

C、<img src="http://edu-image.nosdn.127.net/DB48073EB993E8686DFB3BF3AF5E072A.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal;" />

D、<img src="http://edu-image.nosdn.127.net/E41743AD75E4B90DE3C0FF773F857528.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal;" />


21、【单选题】<img src="http://edu-image.nosdn.127.net/6C7595F96E1E4629157EFF7FA3046A50.png?imageView&thumbnail=890x0&quality=100" />

A、3

B、2

C、1

D、0


22、【单选题】<img src="http://edu-image.nosdn.127.net/F1782A7F17E8F59D2E0679CCB8B53B64.png?imageView" />

A、3

B、2

C、1

D、0


23、【单选题】下列条件中不是n阶方阵A可逆的充要条件的是

A、A是正定矩阵

B、A的行列式不等于0

C、A的秩为n

D、A等价于单位矩阵


24、【单选题】<img src="http://edu-image.nosdn.127.net/B2FE5F74E0A0F110696FCE24AC01AEDF.png?imageView width: 519px; height: 45px;" />

A、<img src="http://edu-image.nosdn.127.net/E3C81A533C5B0939888ADA4B9BB8B419.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 29px; height: 41px;" />

B、<img src="http://edu-image.nosdn.127.net/F6128995A15DFA27A378FCDE55C6DBEE.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 34px; height: 48px;" />

C、<img src="http://edu-image.nosdn.127.net/C1CDE8644B070223BAD08519DA7CD5E5.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 28px; height: 52px;" />

D、<img src="http://edu-image.nosdn.127.net/25A50F27A93403A3DB98A69556017D2F.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 25px; height: 41px;" />


25、【单选题】<img src="http://edu-image.nosdn.127.net/585DB9BEE409A80F223A8B85DF5FDEA8.png?imageView&thumbnail=890x0&quality=100" />

A、3

B、2

C、1

D、5


26、【单选题】n阶方阵A相似于对角矩阵的充要条件是A有n个( )。

A、线性无关的特征向量

B、互不相同的特征值

C、互不相同的特征向量

D、两两正交的特征向量


27、【单选题】<img src="http://edu-image.nosdn.127.net/B64508EEF024DE9960B786ABE26392DA.png?imageView width: 635px; height: 25px;" />

A、<img src="http://edu-image.nosdn.127.net/DF463BD1206A83BE86977EB3C6196D9E.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 129px; height: 25px;" />

B、<img src="http://edu-image.nosdn.127.net/E1F99CF1D8D563ABA7ABCB5BFE01B69F.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 296px; height: 25px;" />

C、<img src="http://edu-image.nosdn.127.net/EAF316CF4F22CD42C9ED600F18A08387.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 111px; height: 27px;" />

D、<img src="http://edu-image.nosdn.127.net/B8E2B4FE69750D11CA4E60F31BDF2C25.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 101px; height: 36px;" />


28、【单选题】<img src="http://edu-image.nosdn.127.net/DAD41748637AEB5D6D730BE056C51BA2.png?imageView" />

A、3

B、2

C、1

D、0


29、【单选题】<img src="http://edu-image.nosdn.127.net/E9D0B0A8ECD4F21CE5560DB477880DEA.png?imageView width: 722px; height: 88px;" />

A、相似且合同

B、相似但不合同

C、合同但不相似

D、不相似也不合同


30、【单选题】已知向量a=(1,1,2),b=(0,1,2),则a与b的内积为( )

A、5

B、4

C、3

D、0


31、【单选题】<img src="http://edu-image.nosdn.127.net/2DFF92966FADD728483C942A3974FCB7.png?imageView" />

A、<img src="http://edu-image.nosdn.127.net/C57328F020A5AE3672FCE3C4E424D666.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal;" />

B、<img src="http://edu-image.nosdn.127.net/9CEC07FEAFA461F66202B0FA0641BB8C.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal;" />

C、<img src="http://edu-image.nosdn.127.net/2293CF2E75F85BFE538F374C123B4A67.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal;" />

D、<img src="http://edu-image.nosdn.127.net/0EDD5A23FFC3F86328373553C01D86D1.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal;" />


32、【单选题】<img src="http://edu-image.nosdn.127.net/FBAE2F2FEA414BD8321D70B894D1F3DD.png?imageView width: 651px; height: 38px;" />

A、0

B、1

C、2

D、3


33、【单选题】<img src="http://edu-image.nosdn.127.net/9F39E4155EF00F1BA9885658432BE066.png?imageView&thumbnail=890x0&quality=100" />

A、2

B、1

C、3

D、0


34、【单选题】<img src="http://edu-image.nosdn.127.net/D69AD1EF347BD70331D1C843F0064263.png?imageView width: 675px; height: 43px;" />

A、-1/2

B、1/2

C、2

D、-2


35、【单选题】<img src="http://edu-image.nosdn.127.net/FE0673A2E6F5E6B62F04B0672C5AE734.png?imageView width: 555px; height: 31px;" />

A、充分非必要条件

B、充分必要条件

C、必要非充分条件

D、以上都不对


36、【单选题】<img src="http://edu-image.nosdn.127.net/7994EAF646947A956307275DB58CC3D0.png?imageView width: 646px; height: 33px;" />

A、3

B、0

C、1

D、2


37、【单选题】<img src="http://edu-image.nosdn.127.net/DE2DF187488D8F6AE1DB80DB25FBC376.png?imageView

A、-15

B、15

C、0

D、1


38、【单选题】<img src="http://edu-image.nosdn.127.net/08651F85E23AAEFCDEF678D67DFBB3CD.png?imageView&thumbnail=890x0&quality=100" />

A、A的转置的负矩阵

B、A的转置

C、A

D、A的逆矩阵


39、【单选题】<img src="http://edu-image.nosdn.127.net/308D6BDB2FACD50B82B2EA7FD7D79E1B.png?imageView&thumbnail=890x0&quality=100" />

A、A的转置矩阵

B、A的逆矩阵

C、A的伴随矩阵

D、A的平方


40、【单选题】<img src="http://edu-image.nosdn.127.net/33BA730F939B2B9D844F3B25DD0EFACE.png?imageView&thumbnail=890x0&quality=100" />

A、5

B、4

C、1

D、0


41、【单选题】<img src="http://edu-image.nosdn.127.net/D405DAD5BF3C14D1578639AA35E7C464.png?imageView width: 725px; height: 40px;" />

A、0

B、1

C、2

D、3


42、【单选题】<img src="http://edu-image.nosdn.127.net/EDA74056B475598913586F578D78B16A.png?imageView

A、6

B、4

C、2

D、0


43、【单选题】<img src="http://edu-image.nosdn.127.net/5924E0B6E65140038C881B6092743D2B.png?imageView" />

A、合同且相似

B、合同不相似

C、相似不合同

D、不合同且不相似


44、【单选题】<img src="http://edu-image.nosdn.127.net/C49AB3F1ECE5FBB42B080AA5985E00F4.png?imageView

A、有唯一解

B、有无穷多组解

C、无解

D、不能判断


45、【单选题】<img src="http://edu-image.nosdn.127.net/F26D08A77F7DF48DDADD3519390A505B.png?imageView" />

A、1

B、2

C、3

D、0


46、【单选题】<img src="http://edu-image.nosdn.127.net/7B4B3E362973D894C5B7BE0A6B542A0E.png?imageView&thumbnail=890x0&quality=100" />

A、-1,1,2

B、1,1,2

C、-1,1,-2

D、1,0,1


47、【单选题】<img src="http://edu-image.nosdn.127.net/C55AFB8D0F4BF3BDF15174578C7F3F0A.png?imageView height: 52px;" />

A、4

B、3

C、2

D、1


48、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />及<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5d9051ac-c06a-4fab-8007-1b5cc4c7af16.png" />分别为空间V的两组基,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f85b0041-90ed-4720-b449-85969da656d0.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_90fd40bd-beb4-4248-baf8-b4c927a82072.png" />则

A、P为由基<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />到基<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5d9051ac-c06a-4fab-8007-1b5cc4c7af16.png" />的过渡矩阵

B、P为由基<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5d9051ac-c06a-4fab-8007-1b5cc4c7af16.png" />到基<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />的过渡矩阵

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8f1bb7f5-fbcc-4591-8059-2d830f97ffc8.png" />为由基<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />到基<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5d9051ac-c06a-4fab-8007-1b5cc4c7af16.png" />的过渡矩阵

D、向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c55cfbe-320e-4d8a-b6ea-491d88a1dbc6.png" />及向量组<img style="color: rgb(102, 102, 102); font-family: sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5d9051ac-c06a-4fab-8007-1b5cc4c7af16.png" />不等价


49、【单选题】以下哪个集合不能构成向量空间

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8459b19a-d4d1-4f14-bdf6-ab811ef019b8.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_084ba769-3a3f-473e-bd48-ba7d8df25db2.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d4db11ef-046f-486d-aa54-34b48997efca.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8a843595-c661-4ea4-90f9-b4e148d55608.png" />




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