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【百年教育职业培训中心】线性代数-章节资料考试资料-湖南大学 (2)

来源：百年教育职业培训中心　更新时间：2022-05-30 19:15:24

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第一章第一次测试

1、【单选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0cc88c85-3973-4484-b0c8-9d482b6f0259.png" />这个多项式中的x系数为

A、-1

B、1

C、-2

D、2

2、【单选题】一个n阶行列式中，若等于零的元素个数大于<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6b78b3ec-916e-4ebf-afab-4a14a8f661d5.png" />，则该行列式为

A、0

B、n

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a9c9fb3e-4070-4fc3-b9b6-5af103d0734a.png" />

D、无法确定

3、【单选题】五阶行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_561bb10d-b111-4f2d-b642-50ea3ca4dd74.png" />的展开式中项<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a95ff9d1-9895-45b9-a140-1ab656ba6a33.png" />的符号是

A、正

B、负

C、不确定

D、值为零

4、【判断题】若行列式D中的每个元素均大于零，则D也大于0.

A、正确

B、错误

5、【判断题】某排列的逆序数为5，它一定能够通过奇数次的对换化为自然排列。

A、正确

B、错误

6、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e8212ada-1336-46d8-b6ce-9d0f1ccd96d6.png" />

A、正确

B、错误

第一章第二次测试

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4072c052-057d-4584-bb5c-2eaa725ae03a.png" />为行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e2dd35af-e20b-42c4-9498-db9e90c6a0e3.png" />中元素<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f86d032b-8ecb-44ee-9a5c-e52e357626ec.png" />的代数余子式，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_323d67cb-a25c-45ad-815a-d5e6ee4a46b7.png" style="width: 92px; height: 51px;" />等于

A、-1

B、0

C、1

D、2

2、【单选题】已知四阶行列式D中第1行的元素分别为1，2，0，-4，第3行的元素的余子式依次为6，x，19，2，则x的值为

A、0

B、1

C、7

D、8

3、【单选题】<img src="http://edu-image.nosdn.127.net/6164DB9DD2FF956A82B6A72EFC88FFA9.png?imageView

A、0

B、1

C、2

D、4

4、【单选题】已知四阶行列式D的某一行所有元素及其余子式都等于a，则

A、D=0

B、D=1

C、D=4a

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9dd50438-63f0-4680-9c72-3ee0509931fd.png" />

5、【单选题】<img src="http://edu-image.nosdn.127.net/E105A978C033F365A132B025ACF8498D.png?imageView

A、<img src="http://edu-image.nosdn.127.net/117F1D7FD456D7807AE777B069C3AB5C.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/4C48AE3953196707914E824858857513.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/453E03095C99BC4F2596A00063ECE3E8.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/F09199683CF3EB23BE6B657390412BA0.png?imageView&thumbnail=890x0&quality=100" />

6、【单选题】行列式D=0的必要条件是

A、D中有一行元素全为零

B、D中各行元素之和为零

C、D中两行（列）元素对应成比例

D、D中至少有一行各元素可用行列式的性质化为0

第一章第三次测试

1、【单选题】<img src="http://edu-image.nosdn.127.net/88E95715C71C936B1E7DB45CE876DF82.png?imageView

A、abcdef

B、2abcdef

C、3abcdef

D、4abcdef

2、【单选题】<img src="http://edu-image.nosdn.127.net/90FF9B79B10C209BFF10D8F6789EA976.png?imageView

A、-25

B、0

C、1

D、25

3、【单选题】<img src="http://edu-image.nosdn.127.net/A834DFBA13C72DDBDBB2D02943889F78.png?imageView

A、<img src="http://edu-image.nosdn.127.net/C4BE83C24D3DBAC31125C6650A13CB8B.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/6964B34DD96C720C3FCBA538F70EF1DD.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/4EEB2334ADB205BEAFD452EB735E4189.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/CA64B3E1C8F279959433849391D2D8B6.png?imageView&thumbnail=890x0&quality=100" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/8C1B82B0457E74C74EADBDBF7CAACECC.png?imageView

A、5x(x-1)

B、5x(x+1)

C、5(x+1)(x-1)

D、<img src="http://edu-image.nosdn.127.net/B2C88B67767AFCAA9B54E90F4CF961A9.png?imageView&thumbnail=890x0&quality=100" />

5、【单选题】<img src="http://edu-image.nosdn.127.net/06B07EB9A1F795716710FCD9D409FE36.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/8C4C315900DEBCAC786BAD7EDE4F52F4.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/A2D0BBBC913FDBE829067534721AE9D6.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/16899B2EF0058FE8441FA3B7535FA165.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/951FFBD165CD32740BAA033B1CF768A8.png?imageView&thumbnail=890x0&quality=100" />

6、【单选题】<img src="http://edu-image.nosdn.127.net/C47C4AB15739FCAD327B9CECAFF0729F.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/F4B511C17AAB2731CDAEE0F607AC43DD.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/D3A7DE28F9CB2CB0AFE6D140954030C7.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/00E74F1EB15B2A768EABB3B85C0A46A7.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/B061BCE10ADF9E30283D6037E8A1A691.png?imageView&thumbnail=890x0&quality=100" />

第一章第四次测试

1、【单选题】<img src="http://edu-image.nosdn.127.net/47AD797AA30825ECBD5845BCF57E90B2.png?imageView&thumbnail=890x0&quality=100" />

A、(b-a)(c-a)(c-b)

B、(b+a)(c+a)(c+b)

C、abc(b-a)(c-a)(c-b)

D、abc(b+a)(c+a)(c+b)

2、【单选题】<img src="http://edu-image.nosdn.127.net/FE86467C9B40F7382DE4E18547AD5CE1.png?imageView

A、<img src="http://edu-image.nosdn.127.net/7747AEBC4C87E435976D6703ED767914.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/95D6B894833FC178561C2166448D91D0.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/9FE29B0812D3483BA22BB2DE2BB5DB56.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/926141489E554CBCC6D1B9AA1AEF2D1A.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/57F2658CD57E0B91B315955D7E40A104.png?imageView

A、n!

B、<img src="http://edu-image.nosdn.127.net/D4892548AF813C34292B6797AEDAFB32.png?imageView&thumbnail=890x0&quality=100" />

C、(n+1)!

D、<img src="http://edu-image.nosdn.127.net/30EA1B712A84278EFFDC520B1DA0F24D.png?imageView&thumbnail=890x0&quality=100" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/7D55B1BCC76E73503BB52684B4D4EB17.png?imageView&thumbnail=890x0&quality=100" />

A、-1

B、0

C、1

D、<img src="http://edu-image.nosdn.127.net/BF8F68B46558F3F7628B150CFD00184A.png?imageView&thumbnail=890x0&quality=100" />

5、【单选题】<img src="http://edu-image.nosdn.127.net/A3C722150A3A682D0379E0EF988C9931.png?imageView

A、<img src="http://edu-image.nosdn.127.net/FBF8CF0D9EEAE93A22802644B965C974.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/DB048FE2C50D26367A94D342E1ABA4BB.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/AE3B93B0099B5F78FD1F5CCF227AB983.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/A5D1C48722E435CFC5B4FA36A189011B.png?imageView&thumbnail=890x0&quality=100" />

6、【单选题】<img src="http://edu-image.nosdn.127.net/92E1ECC3B9A17ABB63A18F10E83F9F41.png?imageView

A、<img src="http://edu-image.nosdn.127.net/7741D713776A366B4C25A207D0C7A613.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/D638689C94B4F6474778BB1EF40A28A9.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/1E97B4F301C85FFA5BEF7B2731F2434D.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/090EAE5642E2E8A377F785113C0EF619.png?imageView&thumbnail=890x0&quality=100" />

第一章单元测试

1、【单选题】<img src="http://nos.netease.com/edu-image/2a96a3df-64fb-422b-b5a9-1a1ae6055aef.png" />

A、-1

B、1

C、2

D、-2

2、【单选题】<img src="http://nos.netease.com/edu-image/c6e5b971-564f-4464-af7c-d3f3e6c39afe.png" />

A、<img src="http://nos.netease.com/edu-image/42f7f791-f029-42dd-8d87-f1f34c4d93d1.png" />

B、<img src="http://nos.netease.com/edu-image/943bdeb0-2db1-4e07-92a0-a764833d09c7.png" />

C、<img src="http://nos.netease.com/edu-image/35ee90d6-97e5-468b-b3b1-023e7861a52b.png" />

D、<img src="http://nos.netease.com/edu-image/02ee514f-27ef-4f1e-9f5f-f9bd57424778.png" />

3、【单选题】已知221，238，289都是17的倍数，下列行列式不能被17整除的是（）

A、<img src="http://nos.netease.com/edu-image/9e2688d2-1286-4a92-8477-5cf9134b3453.png" />

B、<img src="http://nos.netease.com/edu-image/146eab40-976c-43cf-b2ff-dc3e4bfdd725.png" />

C、<img src="http://nos.netease.com/edu-image/ddcf1a1d-2a6e-4b4f-ac8a-58fdb50241de.png" />

D、<img src="http://nos.netease.com/edu-image/cbc0f6e8-85ea-4cdf-817a-2de50d540ff2.png" />

4、【单选题】以下式子正确的是（）

A、<img src="http://nos.netease.com/edu-image/87c3ef75-3379-4a70-8654-496142550ecd.png" />

B、<img src="http://nos.netease.com/edu-image/9f3b2dd1-e17d-4e09-ac0a-836502646b81.png" />

C、<img src="http://nos.netease.com/edu-image/9ce22ad2-1ce9-4df4-b637-2da4b0dff855.png" />

D、<img src="http://nos.netease.com/edu-image/2b29fb55-86bd-4b0f-ac5d-95eb75579faa.png" />

5、【单选题】以下式子正确的是（）

A、<img src="http://nos.netease.com/edu-image/26d309e1-0be4-46b1-967f-42e57d148314.png" />

B、<img src="http://nos.netease.com/edu-image/1f04cafd-f0f3-484b-8b61-7d363ce1cbc9.png" />

C、<img src="http://nos.netease.com/edu-image/0674b51a-37b7-4dca-b52f-29da9143c2b2.png" />

D、<img src="http://nos.netease.com/edu-image/1a79c9f3-992d-4f8a-8185-2a5e096187b6.png" />

6、【判断题】只有2，3阶行列式可以用对角线法则计算。

A、正确

B、错误

7、【判断题】<img src="http://nos.netease.com/edu-image/839924e6-26f2-4ca7-85da-b18c108d7fcf.png" />

A、正确

B、错误

8、【判断题】<img src="http://nos.netease.com/edu-image/8c8039e8-c28b-4a40-8d5f-a0bd547ee161.png" />

A、正确

B、错误

9、【判断题】<img src="http://nos.netease.com/edu-image/af0fffb2-2b8a-44af-bb21-1c8a7f79809c.png" />

A、正确

B、错误

10、【填空题】<img src="http://nos.netease.com/edu-image/2a90192a-886f-46a3-999a-f32c58284b40.png" />

A、

11、【填空题】设行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d08444ec-da70-460a-9bc8-033a2b7d47ef.png" />,则第四行个元素余子式之和的值为

A、

12、【填空题】<img src="http://nos.netease.com/edu-image/690c86f3-0747-4d8b-b4a9-cc3140dba51d.png" />

A、

13、【填空题】<img src="http://nos.netease.com/edu-image/1414dff9-443a-40f8-87b9-8dea444f6821.png" />

A、

14、【填空题】<img src="http://nos.netease.com/edu-image/f5535039-a374-4ba1-88c3-4bbc6c8b9e70.png" />

A、

15、【填空题】<img src="http://nos.netease.com/edu-image/2975c7cc-e1f4-4eb4-b9af-9058607019b1.png" />

A、

第二章第一次测试

1、【单选题】设矩阵A=<img width="111" height="77" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_28de855b-6f73-493d-8572-ce0c1b2cfdac.png" style="white-space: normal; width: 78px; height: 49px;" />,B=<img width="64" height="53" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_10ca6822-333e-4584-8713-7ec89f8fb6fa.png" style="white-space: normal; width: 55px; height: 44px;" />,则AB的第二行是（ ).

A、(5,1)

B、(-6,2)

C、(-27,7)

D、(-1，3，-4）

2、【单选题】设A，B均为矩阵，以下说法正确的是( ).

A、如果A是零矩阵，则|A|=0;

B、如果AB=0，则A，B中至少有一个为零矩阵;

C、如果A 和 B为同阶方阵，则|AB|=|BA|；

D、如果AB=AC，则B＝C.

3、【单选题】设矩阵<img width="133" height="60" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_49a50335-99e2-4d55-8da5-98f034f8d24e.png" style="white-space: normal; width: 108px; height: 35px;" />,则A-3E的第3列是( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_63400765-72c6-410e-a41c-6361b0db25c2.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2ec2ac6a-7e38-48c6-998f-620d5e7c8974.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_79e7ab4d-914c-4ed6-bb1f-fd68226eef28.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_85ef0789-d476-4edf-b2f0-f8c342d89c0e.png" />

4、【单选题】设A=（1，0，1，-1），B=（1，1，-1，1），则（）

A、AB= - 1

B、AB<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b4047459-e6f3-4f7c-92ca-913ac17d214b.png" style="white-space: normal;" />=-1

C、A<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b4047459-e6f3-4f7c-92ca-913ac17d214b.png" /> B=1

D、BA=-1

5、【单选题】设A=（1，1，-1），B=（-1，1，1），则（）

A、(A<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7e2ed8d4-a7ba-4994-a102-8daddf3910a7.png" />B)<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e8249ece-8c1c-42a9-a8c3-110857408464.png" />=1

B、(A<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7e2ed8d4-a7ba-4994-a102-8daddf3910a7.png" />B)<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_225b88a6-16f0-4158-91f6-54c7fe9706e2.png" />=-1

C、AB=3

D、A<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7e2ed8d4-a7ba-4994-a102-8daddf3910a7.png" />B=<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b4992159-c89b-4a98-a8d0-3ce7d2ba5867.png" />

6、【多选题】设矩阵A和B满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_feac1dd5-b583-4292-aca4-2f5667fb9703.png" style="white-space: normal;" />= - A，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_91b4605b-3602-473c-900a-3028621412f1.png" />=B,则下面正确的是( ).

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5eca61f4-ad9a-41fa-84ae-376cb223c542.png" style="white-space: normal;" />是对称矩阵

B、AB-BA是对称矩阵

C、（AB）<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_928cd29a-d34e-475a-aee7-ce26dfe6310a.png" style="white-space: normal;" />= - AB

D、A的对角元都是0

第二章第二次测试

1、【单选题】已知n 阶方阵A 满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8efb9376-1b3d-4d7c-9d92-29e8be729b4f.png" style="white-space: normal;" />=0，则以下说法不正确的是（ ).

A、A-E 可逆；

B、A+E 可逆；

C、E+A+<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e01f100b-dc85-4a14-b48d-99cccdb10ef9.png" style="white-space: normal;" />可逆；

D、E-A-<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e01f100b-dc85-4a14-b48d-99cccdb10ef9.png" style="white-space: normal;" />可逆；

2、【单选题】已知矩阵A=<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6ba79a57-23f8-42bd-9c10-2c418fe41018.png" style="white-space: normal; width: 121px; height: 54px;" />，则下列不是只由行初等变换得到A 的阶梯形矩阵的是( ).

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_208fb579-9265-4e4b-95dc-49e12b015972.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8bf968f7-ad51-481d-9329-7c85cfce0fe1.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c74b352a-8082-40cf-b4e9-b9d51cd3a237.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4ba6f912-89b8-41eb-a9f6-8034f1ab8664.png" />

3、【多选题】以下说法正确的有( ).

A、如果AB=E ,则B 是A 的逆矩阵；

B、如果|A |<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_08aefa54-e211-479a-904d-8e8b1d0aa802.png" />0,则A 的逆矩阵存在

C、如果A*=0,则A 的逆矩阵不存在；

D、如果A 的逆矩阵存在，则（<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f78e543a-d288-4883-8fcf-ecce3f9862aa.png" style="white-space: normal;" />）<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ac5b7d36-c4b5-40ea-a864-ef4df128c7bb.png" style="white-space: normal;" />=（A<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_41cb2853-e53d-4b5a-9586-f5f2d38b24cc.png" style="white-space: normal;" />）<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6df61c11-8580-40fb-801b-5ebd304f0b89.png" style="white-space: normal;" />.

4、【多选题】下列矩阵是初等矩阵的有 ( ).

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b04ac576-2c7e-41eb-897d-d1ba7c821f38.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b0a88c95-d88c-4735-b3e1-1899d629ff9d.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_011a49e5-b8f8-4cf8-a554-cb6384f6a9b4.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7400ab0c-f7dd-4c34-9b68-bd3348d04f45.png" />

5、【多选题】如果矩阵A 的秩为r，则下列说法正确的是（ ).

A、矩阵A 中至少有一个低于r-1阶的子式为0；

B、矩阵A 中至少有一个r阶的子式不为0；

C、矩阵A 中有高于r阶的子式不为0；

D、如果一个<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4e29ba13-91fe-4867-acbe-4e5b5095cb0c.png" style="white-space: normal;" />的矩阵A 的秩r=1，则A =FG,其中F 是一个<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6093aa1c-4495-475c-88f0-e3b868593166.png" style="white-space: normal;" />的列矩阵，G是一个<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_def9ec3e-29d8-41c3-9ea3-edabfed1e765.png" style="white-space: normal;" />的行矩阵.

6、【判断题】对一个 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4a94f279-a5a3-4a22-b90e-f243ee367ec6.png" />的矩阵A 施行一次初等行变换，等价于在A 的左边乘以一个m 阶的初等矩阵，或说給A 左乘一个m 阶的初等矩阵；

A、正确

B、错误

7、【判断题】对一个<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_57fac1d8-6460-41fb-b957-69b646e3b1a4.png" />的矩阵A施行一次初等列变换，等价于在A的右边乘以一个n阶的初等矩阵，或说给A右乘一个n阶的初等矩阵。

A、正确

B、错误

8、【判断题】初等矩阵的逆矩阵还是初等矩阵。

A、正确

B、错误

9、【填空题】设矩阵A=<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0a19f6d0-322c-4c17-be69-0ae37bdc4201.png" style="width: 74px; height: 37px;" />的伴随矩阵A*=B，则B 的第2行的元素<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2607c473-910c-4bba-9203-018a09514470.png" style="white-space: normal;" />=( __ - 6 5).

A、

10、【填空题】矩阵A= <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fb28630d-6b62-4a88-b837-1ba5a043ea37.png" style="white-space: normal; width: 115px; height: 56px;" />的秩为 ( ).

A、

第二章第三次测试

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1a679bcb-41e4-47c6-8b0b-368fcbdc6d5b.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2db4e947-858c-45cf-a31a-c0fa9094b724.png" />=( ).

A、<img style="width: 74px; height: 67px;" src="http://edu-image.nosdn.127.net/7AB6F54EA7355AD6381C1816A2DFA75C.png?imageView&thumbnail=890x0&quality=100" />

B、<img style="width: 72px; height: 76px;" src="http://edu-image.nosdn.127.net/0BC49EB08E6DFF41F7B3340493F46246.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0c80b542-e19f-4a5a-a23c-b5735f099af7.png" />

D、<img style="width: 79px; height: 72px;" src="http://edu-image.nosdn.127.net/215B2196C01271D1427E9D3076BF8DB0.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】设<img src="http://edu-image.nosdn.127.net/FEE3E917D4260B40C5AA4AEDFFA30DE5.png?imageView height: 56px;" />则<img src="http://edu-image.nosdn.127.net/2C7131EFC7DFFB9A3AC2BAC8D8BB9860.png?imageView height: 31px;" />( ____ )

A、<img src="http://edu-image.nosdn.127.net/D277383BD6910B4BA77431C64B5CE41A.png?imageView&thumbnail=890x0&quality=100" style="width: 134px; height: 62px;" />

B、<img src="http://edu-image.nosdn.127.net/2BEF2CDF787D8DEAEA0C64EA73F0640C.png?imageView&thumbnail=890x0&quality=100" style="width: 130px; height: 73px;" />

C、<img src="http://edu-image.nosdn.127.net/20A7B3D113619AEC18900085D0AC886F.png?imageView&thumbnail=890x0&quality=100" style="width: 145px; height: 77px;" />

D、<img src="http://edu-image.nosdn.127.net/1B866E4F24670115B0EB877AE9AB8258.png?imageView&thumbnail=890x0&quality=100" style="width: 143px; height: 67px;" />

3、【单选题】设A为3阶方阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d1fd187b-e88a-446d-89fc-0db527c6e5e6.png" />,记<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_129c3236-ad4c-4a3f-8ae3-81df51eb001c.png" />则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2ae88d74-2ef7-4fb4-a179-23968e9a96e7.png" />=( )

A、-6

B、3

C、-2

D、-12

4、【单选题】设<img src="http://edu-image.nosdn.127.net/6EAB867F77BAE2F89D5968C927CD8A4F.png?imageView height: 101px;" />则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c3776b40-9efc-42a7-be15-a5269ade94ce.png" />=( _____ )

A、<img src="http://edu-image.nosdn.127.net/9E8E52405752907405DA7CFF35DA1BFD.png?imageView&thumbnail=890x0&quality=100" style="width: 123px; height: 143px;" />

B、<img src="http://edu-image.nosdn.127.net/5F8F007494AAC93D87133015918AAAD4.png?imageView&thumbnail=890x0&quality=100" style="width: 129px; height: 146px;" />

C、<img src="http://edu-image.nosdn.127.net/491A5A5DBB33089412C63BC54362551D.png?imageView&thumbnail=890x0&quality=100" style="width: 144px; height: 150px;" />

D、<img src="http://edu-image.nosdn.127.net/82637D105F81AAB25C8F67EFBC35735E.png?imageView&thumbnail=890x0&quality=100" style="width: 132px; height: 149px;" />

5、【单选题】设A为三阶方阵，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f5374573-4fc7-4aa5-9662-ddadd3a42e86.png" />为A的伴随矩阵，已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8491629a-510d-45e3-b2e8-6af0dcf3c8c8.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_793533cf-90ac-4d38-93f8-eb01e43a833c.png" />=(_____)

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2a54508b-8a30-4ee6-bfb9-cfa28d938935.png" />

B、<img style="width: 47px; height: 54px;" src="http://edu-image.nosdn.127.net/9C2D66728945FD129334489E7BDDB499.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ffdd60fd-ccd2-4c86-b732-048e904917d5.png" />

D、<img style="width: 46px; height: 63px;" src="http://edu-image.nosdn.127.net/D7F27B22CAC98DE38032F887D652BF9D.png?imageView&thumbnail=890x0&quality=100" />

第二章第四次测试

1、【单选题】设A，B，C均为n阶方阵，且满足<img src="http://edu-image.nosdn.127.net/ED462A67D8C2FB2EEEA460FC6B43146E.png?imageView width: 121px; height: 20px;" />则<img src="http://edu-image.nosdn.127.net/2C7F7D7B5066FEAAE7826E51F8DC0198.png?imageView height: 22px;" />( ____ )

A、E

B、2E

C、3E

D、0

2、【单选题】设A、B均为4阶方阵，且<img src="http://edu-image.nosdn.127.net/2186F48DCDC5DB8918E70229C22192C8.png?imageView height: 31px;" />则<img src="http://edu-image.nosdn.127.net/8FE1D59C9B70C68CE255FF181E89159B.png?imageView height: 32px;" />( ____ )

A、30

B、-30

C、810

D、-810

3、【单选题】设A、B均为3阶可逆矩阵，且<img src="http://edu-image.nosdn.127.net/76C2B78F9C9064DF2A06F3C6624CC847.png?imageView height: 38px;" />则<img src="http://edu-image.nosdn.127.net/965528FB18390EF834F3BECD69BC5ABA.png?imageView height: 31px;" />( ____ )

A、3

B、9

C、4

D、<img src="http://edu-image.nosdn.127.net/C1FCF894AC038CEBB498CCE78B0E5566.png?imageView&thumbnail=890x0&quality=100" style="width: 47px; height: 41px;" />

4、【单选题】设矩阵A、B都是n阶可逆矩阵，则<img src="http://edu-image.nosdn.127.net/A53AB543E893979F706490C810918C66.png?imageView height: 47px;" />( ____ )

A、<img src="http://edu-image.nosdn.127.net/EEB95BFDDF4030F0870B5F250507825B.png?imageView&thumbnail=890x0&quality=100" style="width: 93px; height: 61px;" />

B、<img src="http://edu-image.nosdn.127.net/325BE64638C882538544B7B9A190EAE1.png?imageView&thumbnail=890x0&quality=100" style="width: 93px; height: 77px;" />

C、<img src="http://edu-image.nosdn.127.net/05B2116073ED223CD86C6D5733BA7A3D.png?imageView&thumbnail=890x0&quality=100" style="width: 85px; height: 68px;" />

D、<img src="http://edu-image.nosdn.127.net/DE6F0C47F6F7917BB630023DB8799F40.png?imageView&thumbnail=890x0&quality=100" style="width: 100px; height: 70px;" />

5、【单选题】设A为<img src="http://edu-image.nosdn.127.net/1E787206F38F584B8BD6539EF8BDC81D.png?imageView height: 19px;" />矩阵，且秩为2，而<img src="http://edu-image.nosdn.127.net/7C260A3157F91A9557262A5BA15DF8D2.png?imageView height: 79px;" />，则<img src="http://edu-image.nosdn.127.net/FD01E83BC920757CD519A04D6035BCFC.png?imageView height: 32px;" />( ____ )

A、1

B、2

C、3

D、4

6、【单选题】设<img src="http://edu-image.nosdn.127.net/3E955F4B9AB3F0A2D72D100A14B76460.png?imageView height: 84px;" />，若<img src="http://edu-image.nosdn.127.net/F14CFBF9CFE07A4BDB2F453C21847B29.png?imageView height: 26px;" />，则k的取值为( ____ )

A、<img src="http://edu-image.nosdn.127.net/441D47EFAF8BCF7A0ADA5B78ECC47354.png?imageView&thumbnail=890x0&quality=100" style="width: 65px; height: 32px;" />

B、<img src="http://edu-image.nosdn.127.net/BA413E0E40F030D57BE9E8280B560027.png?imageView&thumbnail=890x0&quality=100" style="width: 66px; height: 26px;" />

C、<img src="http://edu-image.nosdn.127.net/365F2EC109821308353250059CA0A410.png?imageView&thumbnail=890x0&quality=100" style="width: 55px; height: 34px;" />

D、<img src="http://edu-image.nosdn.127.net/DB2C453DC5037F7B343EFA118E83D756.png?imageView&thumbnail=890x0&quality=100" style="width: 74px; height: 28px;" />

7、【单选题】已知矩阵方程<img src="http://edu-image.nosdn.127.net/AEA6C3585224537E5656620188D2EF2A.png?imageView height: 26px;" />，则<img src="http://edu-image.nosdn.127.net/A2D55782C357C6CAB79A98C28E1EBB37.png?imageView height: 26px;" />( ____ )

A、<img src="http://edu-image.nosdn.127.net/65413958B0280D3D81C50F05D39FC76B.png?imageView&thumbnail=890x0&quality=100" style="width: 74px; height: 48px;" />

B、<img src="http://edu-image.nosdn.127.net/2307E4459801F1741869E2BECEDEC5D0.png?imageView&thumbnail=890x0&quality=100" style="width: 73px; height: 55px;" />

C、<img src="http://edu-image.nosdn.127.net/CE5CD62DDB13B735564A605D16B9107D.png?imageView&thumbnail=890x0&quality=100" style="width: 78px; height: 53px;" />

D、<img src="http://edu-image.nosdn.127.net/1202065EC1C81FD3F0E86CC68DB927B5.png?imageView&thumbnail=890x0&quality=100" style="width: 92px; height: 49px;" />