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【百年教育职业培训中心】线性代数与空间解析几何-章节资料考试资料-郑州轻工业大学

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1 行列式及其计算 作业

第一章 行列式及其计算 单元测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/822D14B5247B701BD615A8414B938D67.png?imageView" />

A、<img src="http://img2.ph.126.net/LZB6csWy5gYr9reRzW_XLA==/6632282726051003213.png" style="font-family: &quot;Times New Roman&quot;, serif; white-space: normal;" />

B、<img src="http://img0.ph.126.net/VgXjYgfGTfWFqZR6MB5HNQ==/6632732426304165114.png" style="white-space: normal;" />

C、<img src="http://img0.ph.126.net/QL5CJw6LYLY1Rycv5b88fw==/6632279427516119943.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/mnriUvUP--LriyNPWI0olg==/6632744520932073171.png" style="white-space: normal;" />


2、【单选题】下列排列是5阶偶排列的是( )

A、24315

B、14325

C、41523

D、24351


3、【单选题】如果<img src="http://img2.ph.126.net/X0i4IOwGUEH1WFhLROWTyg==/6608898312747659924.png" />阶排列<img src="http://img0.ph.126.net/cEeBAR98RO2k_jUDoZBm3g==/2595762235244882928.png" />的逆序数是k, 则排列<img src="http://img0.ph.126.net/y5JSHsyVQX88j6Pe5C_Q7g==/6632382781609106634.png" />的逆序数是( )

A、k

B、<img src="http://img0.ph.126.net/GPKifIkHNEvJdR8-j6Zawg==/6632580693702130395.png" style="white-space: normal;" />

C、<img src="http://img2.ph.126.net/8ROx39kAhpjrH8By-JZ6Ng==/6632752217513479757.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/KFhFZDBtRbHC6yTw1tcwVg==/1286903593540319883.png" style="white-space: normal;" />


4、【单选题】<img src="http://img2.ph.126.net/X0i4IOwGUEH1WFhLROWTyg==/6608898312747659924.png" />阶行列式的展开式中含<img src="http://img0.ph.126.net/IH8q1OVqj70O4ZUVP2VKqA==/6632710436071608993.png" />的项共有( )项.

A、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />

B、<img src="http://img2.ph.126.net/tMdWzuG2hqaGtgUfZjFKaA==/6630390466537349477.png" style="white-space: normal;" />

C、<img src="http://img1.ph.126.net/Vx63x95FWboaPsRkgb7_Iw==/6632358592353316354.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/2pn7ZWXjC1cz_1mP52cogw==/90916417496760738.png" style="white-space: normal;" />


5、【单选题】<img src="http://edu-image.nosdn.127.net/DC954D4E9D358910793EA3F300B34C76.png?imageView" />

A、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />

B、<img src="http://img0.ph.126.net/ExcTHjeGqOBKZW7mG1c02g==/6608603643631416879.png" style="white-space: normal;" />

C、<img src="http://img1.ph.126.net/Z0cPG2fLoo6myX8ArxXy5g==/4848687948918187486.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/oGeVumerm5nFB_acqunIrQ==/4787889353948587071.png" style="white-space: normal;" />


6、【单选题】<img src="http://edu-image.nosdn.127.net/C768079E5B5F71016FD114D5B89A9278.png?imageView" />

A、<img src="http://img0.ph.126.net/oGeVumerm5nFB_acqunIrQ==/4787889353948587071.png" style="white-space: normal;" />

B、<img src="http://img1.ph.126.net/Z0cPG2fLoo6myX8ArxXy5g==/4848687948918187486.png" style="white-space: normal;" />

C、<img src="http://img0.ph.126.net/ExcTHjeGqOBKZW7mG1c02g==/6608603643631416879.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />


7、【单选题】<img src="http://edu-image.nosdn.127.net/D86233586E08C170457BEC18933FE0B6.png?imageView" />

A、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />

B、<img src="http://img0.ph.126.net/ExcTHjeGqOBKZW7mG1c02g==/6608603643631416879.png" style="white-space: normal;" />

C、<img src="http://img1.ph.126.net/Z0cPG2fLoo6myX8ArxXy5g==/4848687948918187486.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/oGeVumerm5nFB_acqunIrQ==/4787889353948587071.png" style="white-space: normal;" />


8、【单选题】<img src="http://edu-image.nosdn.127.net/B85426A1D4EF7AEB029F3505766C6328.png?imageView" />

A、<img src="http://img2.ph.126.net/hosf37-sNaNufMwCaYh_Fw==/6608259496492814132.png" style="white-space: normal;" />

B、<img src="http://img1.ph.126.net/v7GIij_Sglq1MQkunaPbcw==/6619212831327846049.png" style="white-space: normal;" />

C、<img src="http://img0.ph.126.net/oGeVumerm5nFB_acqunIrQ==/4787889353948587071.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/IkxMY9N1n18bExa2LUs7ug==/6608646524584900572.png" style="white-space: normal;" />


9、【单选题】<img src="http://edu-image.nosdn.127.net/EA8D7AE0E0495241662B00E6439FCFFD.png?imageView" />

A、<img src="http://img1.ph.126.net/z9J5WmrfD4uxUP-mbrC0cg==/6632580693698950186.png" style="white-space: normal;" />

B、<img src="http://img0.ph.126.net/xpKU2Slp2uZJUqB8wHM9QQ==/3082995419930643603.png" style="white-space: normal;" />

C、<img src="http://img2.ph.126.net/UMLPZC5xYjvsV2k9mTSQ8w==/6632158481236199189.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/KE33s-Tqo4NKVrerV5GPQQ==/6632390478190530498.png" style="white-space: normal;" />


10、【单选题】已知4阶行列式中第1行元依次是<img src="http://img1.ph.126.net/mdChcvBaW4vlg_yCOeQIXw==/1285777693633486582.png" />, 第3行元的余子式依次为<img src="http://img1.ph.126.net/PZnEwKo6qiAfBqmQl0Ij_A==/6632279427516120313.png" />, 则<img src="http://img2.ph.126.net/GkvDxEDCRu4yg5elKp79Xw==/6630640055677714655.png" />( ).

A、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />

B、<img src="http://img1.ph.126.net/EPqERM2i2imijqbHeLl5Zw==/2447706397492657318.png" style="white-space: normal;" />

C、<img src="http://img2.ph.126.net/6fXIZVJ5n9swpT9pjlIZBQ==/6608207819446238675.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/oGeVumerm5nFB_acqunIrQ==/4787889353948587071.png" style="white-space: normal;" />


11、【单选题】<img src="http://edu-image.nosdn.127.net/7F5D990E112B2E833F8FA5546ED44697.png?imageView" />

A、<img src="http://img0.ph.126.net/ExcTHjeGqOBKZW7mG1c02g==/6608603643631416879.png" style="white-space: normal;" />

B、<img src="http://img1.ph.126.net/Z0cPG2fLoo6myX8ArxXy5g==/4848687948918187486.png" style="white-space: normal;" />

C、<img src="http://img0.ph.126.net/oGeVumerm5nFB_acqunIrQ==/4787889353948587071.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />


12、【单选题】<img src="http://edu-image.nosdn.127.net/C4370E5DC704F70B13D041FCE46E140B.png?imageView" />

A、<img src="http://img0.ph.126.net/ExcTHjeGqOBKZW7mG1c02g==/6608603643631416879.png" style="white-space: normal;" />

B、<img src="http://img0.ph.126.net/IkxMY9N1n18bExa2LUs7ug==/6608646524584900572.png" style="white-space: normal;" />

C、<img src="http://img1.ph.126.net/EPqERM2i2imijqbHeLl5Zw==/2447706397492657318.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />


13、【单选题】<img src="http://edu-image.nosdn.127.net/DBA9BEA6B11E541CA497DC21BBAB50BB.png?imageView" />

A、<img src="http://img0.ph.126.net/ExcTHjeGqOBKZW7mG1c02g==/6608603643631416879.png" style="white-space: normal;" />

B、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />

C、<img src="http://img1.ph.126.net/Z0cPG2fLoo6myX8ArxXy5g==/4848687948918187486.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/oGeVumerm5nFB_acqunIrQ==/4787889353948587071.png" style="white-space: normal;" />


14、【单选题】<img src="http://edu-image.nosdn.127.net/EB430AF2D849F7D6C70E1C9882686C9B.png?imageView" />

A、<img src="http://img0.ph.126.net/Sj0HA0Idw8PWo7nlCxmSgg==/6619357966864023996.png" style="white-space: normal;" />

B、<img src="http://img1.ph.126.net/3mCTdSajCiOes98CrgGAJQ==/90634942520040106.png" style="white-space: normal;" />

C、<img src="http://img2.ph.126.net/7cQBuvTl_N1xgm53MxT6rA==/1275363119495201609.png" style="white-space: normal;" />

D、<img src="http://img0.ph.126.net/fLQz1zCW0XCbFD9feKiT8A==/6632445453771923976.png" style="white-space: normal;" />


15、【单选题】<img src="http://edu-image.nosdn.127.net/18A8B43DA4A43F2FC07DF649C544F680.png?imageView" />

A、<img src="http://img0.ph.126.net/syWk7sgCWzxHuJrCGNHgpQ==/6608551966585017441.png" style="white-space: normal;" />

B、<img src="http://img1.ph.126.net/Z0cPG2fLoo6myX8ArxXy5g==/4848687948918187486.png" style="white-space: normal;" />

C、<img src="http://img0.ph.126.net/oGeVumerm5nFB_acqunIrQ==/4787889353948587071.png" style="white-space: normal;" />

D、<img src="http://img2.ph.126.net/6fXIZVJ5n9swpT9pjlIZBQ==/6608207819446238675.png" style="white-space: normal;" />


16、【单选题】若三阶行列式D的第三行的元素依次为1、2、3,它们的余子式分别为2、3、4,则D=( )

A、<img src="http://img1.ph.126.net/V87ldR2gMTYhL0mmeUDT7A==/6630090299862475801.png" style="white-space: normal;" />

B、<img src="http://img0.ph.126.net/z8hhUChlNDVQ2u1sQege6A==/6619241418630320784.png" style="white-space: normal;" />

C、<img src="http://img2.ph.126.net/jkpaPy_zAokYqW8qJeFisQ==/6619384355142185462.png" style="white-space: normal;" />

D、<img src="http://img2.ph.126.net/YoELEUDQOJtJAq7i-9ekdQ==/6608785063050654899.png" style="white-space: normal;" />


17、【单选题】<img src="http://edu-image.nosdn.127.net/7296EDE668D58B7C143C7F20D19E0337.png?imageView" />

A、0

B、2

C、-4

D、4


18、【单选题】<img src="http://edu-image.nosdn.127.net/5CB86E98786CFE44C76465AACE5C4175.png?imageView" />

A、112

B、120

C、-109

D、-100


19、【单选题】<img src="http://edu-image.nosdn.127.net/8645F8822E35D87F0D5FD16F8B05322E.png?imageView" />

A、7x

B、-7x

C、7

D、-7


20、【单选题】<img src="http://edu-image.nosdn.127.net/17CB95D30006FBC09119B1926ABAE2AC.png?imageView

A、9

B、7

C、4

D、10


21、【单选题】<img src="http://edu-image.nosdn.127.net/342EFE78966C14FA7E0E0C8DEEDBD72A.png?imageView height: 126px;" />

A、<img src="http://edu-image.nosdn.127.net/31856DB6CCE0F7E6B1DB3A70DCC4C4C9.png?imageView&thumbnail=890x0&quality=100" style="width: 319px; height: 36px;" />

B、<img src="http://edu-image.nosdn.127.net/3582137ABFD52566B4118986381BFEC8.png?imageView&thumbnail=890x0&quality=100" style="width: 344px; height: 37px;" />

C、<img src="http://edu-image.nosdn.127.net/C190B499D3307350000B8FEC51F69C4B.png?imageView&thumbnail=890x0&quality=100" style="width: 345px; height: 39px;" />

D、<img src="http://edu-image.nosdn.127.net/68AF01908511E27E592382CAB9516D3A.png?imageView&thumbnail=890x0&quality=100" style="width: 340px; height: 29px;" />


22、【单选题】<img src="http://edu-image.nosdn.127.net/3EAB61D284B656E8E072EDCA5D8B8F38.png?imageView

A、0

B、-18

C、60

D、18


23、【单选题】<img src="http://edu-image.nosdn.127.net/E9D53EE3B9D819A2675789700731A195.png?imageView&thumbnail=890x0&quality=100" />

A、4

B、2

C、-4

D、-2


24、【单选题】<img src="http://edu-image.nosdn.127.net/7566A34D9C20B83EFB0C59CE61F75A84.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/5D5EEC1F1222E43460AF178057F2C741.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/FB51A0FBAD14C0B3C92EF55BC8F2CA74.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/B71C2B6EE6B61F288D3E46CCC1C67E5A.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/7A0FE6AC5E518504CD956AA783CBF5D3.png?imageView&thumbnail=890x0&quality=100" />


25、【单选题】<img src="http://edu-image.nosdn.127.net/FADAB1561235037EDD113D584457AC45.png?imageView

A、4

B、1

C、-4

D、-1


26、【单选题】<img src="http://edu-image.nosdn.127.net/01A9EA91C5FFAC9B989B94D4E16458B6.png?imageView height: 65px;" />

A、-34

B、-50

C、-27

D、-45


27、【单选题】<img src="http://edu-image.nosdn.127.net/9A030686402EA3F51D55A2BBB33F2398.png?imageView&thumbnail=890x0&quality=100" />

A、24

B、-24

C、0

D、-1


28、【单选题】<img src="http://edu-image.nosdn.127.net/778C57D8C3C637B3E61AFA31EF3C1FA6.png?imageView height: 91px;" />

A、-4

B、4

C、-12

D、12


29、【单选题】<img src="http://edu-image.nosdn.127.net/16B776E96617A39A0244BD2778B20B2A.png?imageView height: 83px;" />

A、4x

B、4

C、4y

D、4xy


30、【单选题】<img src="http://edu-image.nosdn.127.net/04B7143DDDEDBEAA5E8F4EFF129E82F6.png?imageView

A、9D

B、-6D

C、6D

D、-9D


31、【单选题】<img src="http://edu-image.nosdn.127.net/5FD6F40E7074E839DD7A1BE67E6E95BC.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/68E468FD1673771E57073F8089D13F32.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/4673BA6802A07A6F7D90B7811EAD5F83.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/45606F7C4E1814422B55AB0D301EFFC3.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/CC3A5E233812BB3FC9F8F396E6D987D0.png?imageView&thumbnail=890x0&quality=100" />


32、【单选题】<img src="http://edu-image.nosdn.127.net/3E8C3053BA218A6BEA1847FD73193DAA.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/4D053037C3992F36CB72ABF939D34A67.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/FB46926AA4C6727EFA6407BED502085E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/611E353229FFFC6DA8D75A4B33D7BDA3.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/F9E64A15027C9FA52F744295C5AD8791.png?imageView&thumbnail=890x0&quality=100" />


33、【单选题】<img src="http://edu-image.nosdn.127.net/46A1D76E5979E076565505E210BFE4B6.png?imageView&thumbnail=890x0&quality=100" />

A、-4d

B、-6d

C、4d

D、6d


34、【单选题】<img src="http://edu-image.nosdn.127.net/76A58DA24A1936369B9F6CC96DD93363.png?imageView&thumbnail=890x0&quality=100" />

A、0

B、37

C、10

D、-84


35、【单选题】<img src="http://edu-image.nosdn.127.net/1DF32DC3E1CDEB66EFBDA70BF1A53E67.png?imageView&thumbnail=890x0&quality=100" />

A、24

B、6

C、-6

D、-24


36、【单选题】<img src="http://edu-image.nosdn.127.net/1DE52B90E283A0891956562911677CD6.png?imageView&thumbnail=890x0&quality=100" />

A、81

B、-81

C、48

D、-48


37、【单选题】<img src="http://edu-image.nosdn.127.net/BFA62E86B55D4E4C32B45EDFA5872F56.png?imageView&thumbnail=890x0&quality=100" />

A、-3

B、3

C、-5

D、5


38、【单选题】<img src="http://edu-image.nosdn.127.net/9119CA2528E381342BEE8B56B6124683.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/ED9755A12DB7C96CBF2AC1209F6F7542.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5D79786B9C90BCFA81BBBB1BEC5D10B0.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/0DC9AF5C6858AFAF1D1DD4296F426E5F.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/406CAEA54227F4F576F3670B99CBB1F0.png?imageView&thumbnail=890x0&quality=100" />


39、【单选题】<img src="http://edu-image.nosdn.127.net/A27167F8DDDEE954BD05FAC0974401C5.png?imageView&thumbnail=890x0&quality=100" />

A、0

B、-15

C、15

D、4


40、【单选题】<img src="http://edu-image.nosdn.127.net/50D2A570FCA000292C452C8375DD6372.png?imageView

A、3

B、-3

C、6

D、-6


41、【单选题】<img src="http://edu-image.nosdn.127.net/6B7A727D2E7AA4952D68DBCF04F0AE56.png?imageView

A、-1

B、2

C、3

D、4


42、【判断题】<img src="http://edu-image.nosdn.127.net/966052091864D405D35C98AA7FC50A99.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误




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