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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-大连理工大学 (2)

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课堂测验

1、【单选题】设A为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_91749d02-4cb7-4278-a80c-13e42f8df990.png" />矩阵，B为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b1148b95-f704-4a5f-ad35-f4d0aa828b23.png" />矩阵，C为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6aba4285-afbb-4e98-82d4-d25fb1f391f4.png" />矩阵, D为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b1148b95-f704-4a5f-ad35-f4d0aa828b23.png" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: 宋体; font-size: 16px; white-space: normal;" />矩阵,判断下列哪个表达式是错误的？

A、ABABC;

B、A(B+D);

C、ABC;

D、AD+BC


2、【多选题】设A,B都是n阶方阵，E为n阶单位阵，选择下列结论中正确的

A、(A+E)(A-E)=(A-E)(A+E)

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_215b7a10-4bbe-4ffb-ad79-6d7385e8e184.png" />

C、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9254efd8-c0fe-4e68-9dd2-9d24127b92f2.png" />, 则A=E或者A=0.

D、数量矩阵可与任何同阶矩阵交换相乘


3、【判断题】设A,E都是n阶方阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_872b391d-5b3d-4485-ba48-abf735d97e6e.png" />

A、正确

B、错误


4、【填空题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_daf4e9b8-1c85-4859-8acb-36e783d087ed.png" style="white-space: normal;" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7c1f7992-f704-4527-8800-5f16446450a3.png" style="white-space: normal;" />已知AB=BA，则x = ____

A、


课堂测验

1、【单选题】下列有关初等变换的描述中，正确的是

A、任意对调矩阵的两行或者两列，此变换为初等变换

B、用任意数k乘矩阵某一行或者某一列的所有元素，此变换为初等变换

C、将矩阵某一行的一些元素的k倍加到另一行的对应元素上去，此变换为初等变换

D、初等变换不改变增广矩阵所对应的方程组的解


2、【多选题】下述说法中，正确的是____

A、<img src="http://nos.netease.com/edu-image/6140d94783364a98bdb27e06e4d9ad17.png" style="width: 473px; height: 29px;" />

B、<img src="http://nos.netease.com/edu-image/6f96ffd27cc74354ae19e8cb0ecee7a0.png" style="width: 502px; height: 59px;" />

C、当矩阵A经过初等变换变成矩阵B时，A与B一般是不等的，因此，不能写成A=B

D、解线性方程组时，只允许作初等行变换，不允许作初等列变换


3、【判断题】只用倍加行变换能把方阵化为下三角形

A、正确

B、错误


4、【填空题】<img src="http://nos.netease.com/edu-image/73c18c130cc04d79b3a7166075616e4a.png" style="width: 500px; height: 56px;" />

A、


随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/8B4986C987374C717506B78ACE8147E3.png?imageView&thumbnail=890x0&quality=100" />

A、都是

B、都不是

C、第一个是，第二个不是

D、第一个不是，第二个是


2、【单选题】<img src="http://edu-image.nosdn.127.net/8974097460D7D63C52BBF1B502227274.png?imageView

A、<img src="http://edu-image.nosdn.127.net/213271D695E43669E9CFFCF6DB9B806C.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5E2C7E85AC63F30934C5FC954BA8D41C.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/218D6939023841EF83D11E3D2EFC73DF.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/8CCA6B819F523D963BFC1F55404AD9F4.png?imageView&thumbnail=890x0&quality=100" />


3、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e72dc540-05f5-4950-9525-69f5de0acba5.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b54662f8-fb8d-41f5-82de-8abcfc389305.png" />=( )

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fb7edac1-0cda-4320-9316-c9842a2e3794.png" style="width: 79px; height: 63px;" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_76ea26d2-bda9-4b4d-ae95-ada9674024da.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_15a469f1-6009-4a28-92a5-1745323316b5.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_11f74912-ec59-4d02-958f-12c0bed6d682.png" />


4、【多选题】下列关于初等矩阵的描述，哪些是不正确的____

A、初等矩阵是由单位矩阵经过多次初等变换所得到的矩阵

B、对调单位矩阵的i，j两行或i，j两列所得到的矩阵是初等矩阵

C、将单位矩阵的第i行（列）乘以数k所得到的矩阵是初等矩阵

D、初等矩阵都是对称矩阵


5、【判断题】<img src="http://nos.netease.com/edu-image/167346068d2749ddb0ae18ca25204d76.png" style="width: 473px; height: 55px;" />

A、正确

B、错误


6、【填空题】对矩阵A做有限次初等行变换相当于用有限个相应的初等矩阵____（左、右）乘矩阵A

A、


课堂测验

1、【单选题】<img src="http://nos.netease.com/edu-image/7e35db0cb6dd429ba03c6b800c11f5e5.png" style="width: 434px; height: 140px;" />

A、0个

B、1个

C、2个

D、3个


2、【多选题】下列说法正确的是_____

A、两个上三角矩阵的和仍为上三角矩阵

B、一个数与一个上三角矩阵的乘积仍为上三角矩阵

C、对角矩阵也为上三角矩阵

D、k为实数，A为矩阵，则kA=Ak


3、【判断题】矩阵的加法满足交换律

A、正确

B、错误


4、【填空题】<img src="http://nos.netease.com/edu-image/779aa36058c6426a9b3ae8c7218ad382.png" style="width: 504px; height: 82px;" />

A、


课堂测验

1、【单选题】<img src="http://nos.netease.com/edu-image/c459965fa2604972847bbc70ce702ffc.png" style="width: 444px; height: 39px;" />

A、<img src="http://nos.netease.com/edu-image/93848ca5ed12478f80aa5536f2c7a3e5.png" style="width: 424px; height: 38px;" />

B、<img src="http://nos.netease.com/edu-image/2db4853ea9a34d5fb6759451b51ef944.png" style="width: 439px; height: 34px;" />

C、<img src="http://nos.netease.com/edu-image/1f38d4b9653c45d0ab2385570cc3c1c4.png" style="width: 294px; height: 29px;" />

D、<img src="http://nos.netease.com/edu-image/3d3cb60a400e4623a9beb62b6f5b64c4.png" style="width: 321px; height: 33px;" />


2、【多选题】A为任一方阵，下列矩阵为对称矩阵的是_____

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_408d554b-9ba6-42e2-8eb9-3798585939a8.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bb30f895-e3aa-4aa4-9d4a-1982035b6ae5.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7cdf3922-7da1-46bd-8a8e-6fa57e506da7.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_13a0ca39-182d-4298-911c-7069adfb49ca.png" />


3、【判断题】对称矩阵的k次幂仍为对称矩阵

A、正确

B、错误


4、【判断题】反对称矩阵的k次幂仍为反对称矩阵

A、正确

B、错误


5、【填空题】<img src="http://nos.netease.com/edu-image/a4349194c8e3458bb77917e7fa0ef2b0.png" style="width: 500px; height: 32px;" />

A、


课堂测验

1、【单选题】<img src="http://nos.netease.com/edu-image/39e8815f4e124dc981683b1f30bcc5a6.png" style="width: 470px; height: 63px;" />

A、<img src="http://nos.netease.com/edu-image/9e964b1da68047d187fcbc85193951aa.png" style="width: 162px; height: 34px;" />

B、<img src="http://nos.netease.com/edu-image/c9c2d24d5cc84fd496cc0a3cb6b1de7c.png" style="width: 164px; height: 30px;" />

C、<img src="http://nos.netease.com/edu-image/2f478c281a1b4bd29ac4dc4b73a2910a.png" style="width: 213px; height: 34px;" />

D、<img src="http://nos.netease.com/edu-image/a69e648e86c44882a7cc269f2e09583b.png" style="width: 209px; height: 39px;" />


2、【多选题】下列有关分块矩阵的说法中，不正确的有( )

A、若对矩阵进行分块，则分块的方式不是唯一的

B、分块矩阵转置时，只需将每一子块转置即可

C、分块矩阵转置时，只需将相应的行变成列即可

D、分块矩阵转置时，除了行要变成列以外，每一子块也要转置


3、【判断题】分块矩阵乘法要求前面矩阵的列分块与后面矩阵的行分块必须相同

A、正确

B、错误


4、【填空题】<img src="http://nos.netease.com/edu-image/7ee53ff19ebd4353a074e7a074f9b0a8.png" style="width: 497px; height: 64px;" />

A、


课堂测验

1、【单选题】<img src="http://nos.netease.com/edu-image/294eda69a68845f687e69ff3f492081b.png" style="width: 449px; height: 100px;" />

A、-6

B、6

C、0

D、1


2、【多选题】下列说法正确的是（）

A、对于任何方阵,只用有限次倍加行变换都能将其化为上三角形矩阵

B、对于任何方阵,只用有限次倍加列变换都能将其化为上三角形矩阵

C、对于任何非零矩阵，必能用初等变换把它化成其等价标准形

D、一个矩阵的等价标准形是唯一的


3、【判断题】矩阵的等价标准形是唯一的

A、正确

B、错误


4、【判断题】仅通过初等行变换就可将矩阵化为标准形

A、正确

B、错误


5、【填空题】<img src="http://nos.netease.com/edu-image/deae766bf10c48f0b7561f8ca608ed99.png" style="width: 480px; height: 114px;" />

A、


第一章作业

第一章测试

1、【单选题】如果矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d20d3383-c59d-4296-a69b-c4afe1b34d55.png" />满足AB=BA，则m,n,s,t应满足的条件为__________

A、n=t

B、m=s

C、m=n=s=t

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1f92697e-2b9c-49d5-9844-edf5efc92451.png" />


2、【单选题】设A,B是两个n阶矩阵，则AB=BA的充分必要条件为_______________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3f156a22-3d6b-416c-955f-a585b2ecbe1e.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_61934e0d-eb0c-4bf3-8e99-c1cb9bf24f23.png" />

C、(A+B)(A-B)=(A-B)(A+B)

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0bc245ac-6894-4d97-a09d-d0bd61ff4352.png" />


3、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2bfec065-51a3-4c8e-a638-d10870e88ed1.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fda363ed-524d-4475-b944-3fee0c1c16ba.png" />_____________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_34f23ea3-676f-428b-b585-a7c8bdf1051a.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3b6e3665-4bb5-4989-a02b-64176bfdf6f6.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b9f92dbf-50d4-4863-9f9a-d88483623594.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a141ba54-01e9-4f09-a54a-5c40a77a58ef.png" />


4、【多选题】下列矩阵中是初等矩阵的为___________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3ccc5697-1dd2-4ff3-aac9-c17881291791.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e757a6ea-d9d2-4d0f-b844-6ab5c8ff2038.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aabc947d-2a5f-4514-94f4-648e2a801f66.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dc30d84e-28cc-4e92-9f58-7a743afe9cbc.png" />


5、【多选题】设A是n阶对称矩阵，B是n阶反对称矩阵，则下列不是反对称矩阵的是_________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1ebcb187-d1dc-4021-9832-edc60c98fbdd.png" />

B、AB-BA

C、ABA

D、(AB)(BA)


6、【判断题】设A是一个<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d2f1aaf8-3322-4d0b-bfe1-2bbf3ef816df.png" />矩阵，则对任一m维向量x，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5e8d0aac-5106-4b9c-bbfe-7cdc079cc7fa.png" />成立的充分必要条件是A=0.

A、正确

B、错误


7、【判断题】设A是对称矩阵，B为反对称矩阵，则AB是反对称矩阵的充分必要条件是AB=BA。

A、正确

B、错误


8、【填空题】设n阶方阵A,B满足关系式A=(B+E)/2，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_761ecb2a-b7fe-4143-8698-5a671a17280c.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4eae6d5e-79f3-40ee-86bf-752cebe92bb3.png" />=________

A、


9、【填空题】已知x是3维列向量，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_035e010f-44ee-497f-b615-7de053d896a2.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c6c485ea-1c29-4ba7-9352-e0716c0bcdca.png" />=________

A、


10、【填空题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9a963009-0fad-409f-820a-0755e5987148.png" />都是n维非零列向量，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_66c925f3-b304-4f41-932b-55d47a2d072e.png" />，已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_83a75be5-42a2-42e2-82f3-af6e3238944a.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8ae9feaa-c920-4a7a-92d6-1b3d8094612b.png" />=____

A、


课堂测验

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5fd0946e-696f-4643-8c9a-5f6e47423dae.png" />则 |2A|=______________

A、|A|

B、2|A|

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_71d393df-8f22-4065-bdf6-1a2cea216cc1.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8d6fd671-9467-4199-92cc-67bfb1cfa131.png" />


2、【单选题】<img style="width: 515px; height: 84px;" src="http://edu-image.nosdn.127.net/F993BB752C568595B33D9BE023A7D7B6.png?imageView&thumbnail=890x0&quality=100" />

A、<img style="width: 99px; height: 134px;" src="http://edu-image.nosdn.127.net/9562D1AC69F8C2580E01F577B429CDC6.png?imageView&thumbnail=890x0&quality=100" />

B、<img style="width: 89px; height: 140px;" src="http://edu-image.nosdn.127.net/B8D84ABD4BE9B6D268B31E58423745E9.png?imageView&thumbnail=890x0&quality=100" />

C、<img style="width: 94px; height: 128px;" src="http://edu-image.nosdn.127.net/C63FBC4170FDAAC047A85D8A7AE4004A.png?imageView&thumbnail=890x0&quality=100" />

D、<img style="width: 89px; height: 146px;" src="http://edu-image.nosdn.127.net/4C99A97411F3F94FE390602393901F36.png?imageView&thumbnail=890x0&quality=100" />


3、【多选题】下列选项中是行列式的为____________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0711b0be-c5dc-4573-9fff-ddf1ae1513fe.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4b7f0f6b-c7da-4fb0-b2cb-bcc661d1afd7.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6e4ae5cb-75c4-414c-be8d-22378ac723f2.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e1d2e866-8e6a-49fa-a87f-c7df81054f74.png" />


4、【判断题】所有矩阵都有行列式

A、正确

B、错误


5、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ef21a5ce-dd4d-4b55-8e92-c26cae9e7137.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_011eab75-2c54-48de-b2fd-c77094dc3757.png" />和<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_37b7b5a8-dec3-4784-97fe-c13bf8498ef3.png" />的余子式都为1，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_61c5479e-153c-46fe-8e0d-7a23220d7c58.png" />

A、正确

B、错误


6、【填空题】行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fcae6e93-9fde-4335-8fcc-cde61686ceba.png" />中3的代数余子式的值为

A、


7、【填空题】<img src="http://edu-image.nosdn.127.net/73449B89C6236178A2A9F9DB89AC2627.png?imageView&thumbnail=890x0&quality=100" />

A、


课堂测验

1、【单选题】设A为n阶方阵，k为数，则|kA|=_____________

A、|A|

B、k|A|

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e8a1c0fd-3858-4ea3-b6a8-202d09af95ca.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c2290328-e2cb-419f-99a1-7e50f39f5752.png" />


2、【单选题】<img style="width: 541px; height: 40px;" src="http://edu-image.nosdn.127.net/F06C61C74668128FC6BC2489AD645553.png?imageView&thumbnail=890x0&quality=100" />

A、1

B、-1

C、偶数

D、奇数


3、【多选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4b64ac26-c67f-4acb-8755-5d7d411b5f2f.png" />_________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8333f040-8eae-42b3-9cf0-429ed1f66009.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_41e7d4cb-3fe7-4e18-8d5e-3151aee677ff.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_82a33d88-ecd6-44a5-8f3a-7d8f9a1dc9a2.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b286771c-47e5-4cde-949d-e13b48bf17d5.png" />


4、【多选题】设A为三阶方阵，则A满足（ ）时，|A|=0.

A、A中有一列全为0

B、A中有两列成比例

C、A为对称矩阵

D、A为反称矩阵


5、【判断题】行列式的性质如果对列的情况成立，则对行的情况也成立

A、正确

B、错误


6、【判断题】设A为n阶方阵，则|-A|=-|A|.

A、正确

B、错误


7、【填空题】设A为奇数阶反称矩阵，则|A|=_______

A、


8、【填空题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_32d98d5a-b68d-472c-bc4c-08fbaa54e60c.png" />都是三元列向量，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_73de3c1a-ac8d-4f4c-8832-b6762629c56e.png" />则|B|=______

A、


9、【填空题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9bd2dd31-b1b6-4017-a747-b0713bf20ad7.png" />其中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ea7bfdcb-bd4f-487c-9504-0368b0e4469c.png" />都是n元列向量，|A|=1,|B|=4，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_69df3d7c-45d1-43d5-b164-27094088d88c.png" />______

A、


10、【填空题】已知行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3dd4020d-c463-4590-bfd1-f8bc0ed7b3e7.png" style="white-space: normal; caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: 宋体; text-align: justify;" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d1fa9187-9716-4ce2-9ecf-9785e9cb1e60.png" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); font-family: 宋体; text-align: justify; white-space: normal;" />

A、


课堂测验

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fb902583-c83e-4f9f-9d24-3a939196e008.png" />,则f(x)=0的根的个数为________

A、1

B、2

C、3

D、4


2、【单选题】<img style="width: 282px; height: 97px;" src="http://edu-image.nosdn.127.net/81F0935B832AF26B37B434D47544AE10.png?imageView&thumbnail=890x0&quality=100" />

A、1，1，2

B、1，-1，2

C、1，2，-2

D、-1，-2，2


3、【多选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8b38bfa6-5b8b-40ad-9b20-f30222985927.png" style="white-space: normal;" />__________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_abfb37f2-a9a2-45d4-bdfb-a1216eca8627.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_78708dba-b88e-4586-abbc-5ce9f8ac788f.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cd365677-b6d3-46dd-917f-f10e6b63125e.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5ba0a820-f0ab-4dc6-80a5-c131aa9c2c1f.png" />


4、【多选题】下列选项中行列式的值等于0的有（ ）

A、<img src="http://edu-image.nosdn.127.net/C017587D0983E63FEB6A2A5363667B5B.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/B254F13006E274C8201D0694B13433D7.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/BC3E0C4A5E17F6097D89CAB20A0D4CA7.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/449D3D91B07570971128E0295D13B9A9.png?imageView&thumbnail=890x0&quality=100" />


5、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ab26ee3e-e1ad-4ab9-a60a-3ad070d8c136.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d3c49c64-ea38-444b-93d0-60bf4bc76db5.png" />

A、正确

B、错误


6、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_539d945a-6e49-4ea2-bb9d-48ec69826eb6.png" />

A、正确

B、错误


7、【判断题】若对方阵A进行初等变换得到方阵B，则|A|=|B|.

A、正确

B、错误


8、【填空题】<img src="http://edu-image.nosdn.127.net/68F1A2D904804C2EF41B99DB718892C5.png?imageView&thumbnail=890x0&quality=100" />

A、


9、【填空题】<img style="width: 197px; height: 159px;" src="http://edu-image.nosdn.127.net/1D49C705E30C8D0A91515D841899A879.png?imageView

A、


随堂测验

1、【单选题】<img style="width: 529px; height: 45px;" src="http://edu-image.nosdn.127.net/4599BFAD1F42E973AAABD97F53C273C0.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/E824382883BB873367092408BF6DD5F9.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F6596751F1CF0076E52E9822DC66BD49.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/73EFB7146ADECB30786410760B1762BA.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/0E35E0BAF6B05DCCD210AE0B2224DDA3.png?imageView&thumbnail=890x0&quality=100" />


2、【单选题】<img src="http://edu-image.nosdn.127.net/B0243D4DF82F306AD1C11277D9EEB274.png?imageView

A、<img src="http://edu-image.nosdn.127.net/E5A0F2995CC9EF24F30E1EA9F0F9A665.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/CC6C48AA0B541CBF8AC2E8AE6538A067.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/FEC4F399007B249B56AA55D7C694AD65.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/9B64B2F12347CDDC51DBF2D98854108A.png?imageView&thumbnail=890x0&quality=100" />


3、【多选题】<img src="http://edu-image.nosdn.127.net/526694F2721022B56B604BDAAC55F9AE.png?imageView

A、<img src="http://edu-image.nosdn.127.net/7925605CBBC458CE480168243AEFC703.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/979A2E0AECF4FDC99D76A745A811B904.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/6A75D02AB0BEECBFBC002A8841581AC1.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/94213BB339C3DD8732B5B8121270A82C.png?imageView&thumbnail=890x0&quality=100" />


4、【多选题】<img src="http://edu-image.nosdn.127.net/5EB310639CD5728EED3C1ADB0F2D4D31.png?imageView

A、<img src="http://edu-image.nosdn.127.net/173241B8027EF941CCF40F04C06893B9.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/356A158728710366F47F4046E950D661.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/6EE2F092E934A25FCF3E58EB282638DD.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/8F4916DE2053014A8967FA94E6510648.png?imageView&thumbnail=890x0&quality=100" />


5、【判断题】<img style="width: 542px; height: 71px;" src="http://edu-image.nosdn.127.net/5EF9673A473D038EEBFBAC3FD2F1BC6F.png?imageView

A、正确

B、错误


6、【判断题】<img src="http://edu-image.nosdn.127.net/A8A0345EAF08522C3713EE5BA9FB33E6.png?imageView

A、正确

B、错误


7、【填空题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9443aa27-d4c7-463f-8f51-bdc62c072bc2.png" />

A、


8、【填空题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_53519e01-afb2-4aa8-bd2a-cf8612456d83.png" />

A、


9、【填空题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c8a244fc-39e9-4043-bcf7-0435de3589f3.png" />

A、


10、【填空题】已知A,B,C均为同阶方阵，且A的第一行等于其它行之和，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_de590252-6a7b-43e7-8793-d430135c5170.png" />

A、


单元作业

单元测试

1、【单选题】设A是n阶对角方阵，满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_83589196-47fd-4b48-963c-a70d9be59dcf.png" />为n阶单位矩阵，且有|A|0，则|A+E|=________

A、0

B、1

C、-1

D、2


2、【单选题】设a,b,c均为3维列向量，令矩阵A=(a,b,c)，B=(a+b+c,a+2b+4c,a+3b+9c)，如果|A|=1，则|B|=____

A、1

B、2

C、3

D、4


3、【单选题】<img style="width: 466px; height: 129px;" src="http://edu-image.nosdn.127.net/37921FE2ECD0DB7B9641E78206952E1A.png?imageView&thumbnail=890x0&quality=100" />

A、0

B、n!

C、-n!

D、2n!


4、【单选题】<img src="http://edu-image.nosdn.127.net/57860EAA0176D2D8813EB36751198530.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/2C7197B84F8F631F0B3975214BAE3E79.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/A6DBC5BCA278F75C1CB4BD7DDDE5860D.png?imageView&thumbnail=890x0&quality=100" />

C、0

D、-3


5、【单选题】<img style="width: 526px; height: 154px;" src="http://edu-image.nosdn.127.net/9BE1818926A1A2E8579F46E16B49E6BB.png?imageView

A、<img src="http://edu-image.nosdn.127.net/047915E679173FFEACD17AF6C9BE04CE.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/88A68360AD4AFD1CCA486BC958FFE3D2.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/BEBFE9287BE0F8B2715838DAD4D84483.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/6E6885777752494DABC0462F17FD13B8.png?imageView&thumbnail=890x0&quality=100" />


6、【多选题】下面哪些选项是方程<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_42de62a2-0590-45ee-9deb-d9e52809b34c.png" />的根________

A、1

B、2

C、3

D、4


7、【多选题】设A为n阶方阵，如果A经过若干次初等变换变成矩阵B，则下列说法成立的是________

A、|A|=|B|

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0b343b49-e4e1-433f-a6bd-e89b1da78db9.png" />

C、若|A|=0，则必有|B|=0

D、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f71d257a-2d37-44d3-b17f-4232179c7ae6.png" />，则必有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_426a8768-221b-45c4-a7fa-3250c4f943a8.png" />


8、【多选题】设A,B为四阶方阵，则下列选项中A和B的行列式一定相等的是（ ）

A、<img style="width: 196px; height: 33px;" src="http://edu-image.nosdn.127.net/9055C637416A4F339F8BFA178DF59F16.png?imageView&thumbnail=890x0&quality=100" />

B、<img style="width: 199px; height: 40px;" src="http://edu-image.nosdn.127.net/8610332307798CFFE4840556A100812A.png?imageView&thumbnail=890x0&quality=100" />

C、<img style="width: 278px; height: 39px;" src="http://edu-image.nosdn.127.net/6AB13213C2C3A9297629243769FC40F5.png?imageView&thumbnail=890x0&quality=100" />

D、<img style="width: 289px; height: 40px;" src="http://edu-image.nosdn.127.net/7B27A9E914CA3C8C4B4FDF116987B715.png?imageView&thumbnail=890x0&quality=100" />


9、【多选题】<img src="http://edu-image.nosdn.127.net/9E544D672C9C5D10474E4DCAD07C14C9.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/D6FB9D4E8DE95C07C7D4A4C5CBF89069.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5913712C0A7CB8178AC6EA4C79C1CA97.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/0265ED248FCBA5759B580B6AFDDDD375.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/E0694D0068E8F3B905C60B6DC6864170.png?imageView&thumbnail=890x0&quality=100" />


10、【多选题】<img style="width: 578px; height: 34px;" src="http://edu-image.nosdn.127.net/B6A75BD7D567ABA6F8417827BE68BFEF.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/3921E2ED53E1EAAD91B3D7BC58C39B14.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/6B8A077A0DB6CE6A09AC187D73816640.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/EAEFBB5FCECFA9A9291F48F07484FF64.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/1AB7B206C80066AFB179F74FF8A7A3AD.png?imageView&thumbnail=890x0&quality=100" />


11、【判断题】设A,B均为n阶方阵，则必有|AB|=|A||B|

A、正确

B、错误


12、【判断题】设A,B均为n阶方阵，则必有|AB|=|BA|

A、正确

B、错误


13、【判断题】<img style="width: 374px; height: 46px;" src="http://edu-image.nosdn.127.net/D5A36BE456E09527D4A10B2C8C4803E9.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误


14、【判断题】<img style="width: 300px; height: 41px;" src="http://edu-image.nosdn.127.net/F19D3436EE64103F534C4E76D75F9499.png?imageView

A、正确

B、错误


15、【判断题】<img src="http://edu-image.nosdn.127.net/4FCEF11C122EA2E07FBAE6086CD28537.png?imageView

A、正确

B、错误


16、【判断题】<img src="http://edu-image.nosdn.127.net/7B058133C8372580D9904F4DF87D3BF1.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误


17、【填空题】在函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6dca2a3a-9b46-46cf-b1b3-5d5c5591678a.png" />中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7bda4065-2e64-4998-8a2c-fd0683789ca7.png" />的系数为________

A、


18、【填空题】在函数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6dca2a3a-9b46-46cf-b1b3-5d5c5591678a.png" style="white-space: normal;" />中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_53b1f8ac-404c-4e8f-8b53-f666c4e019fe.png" />的系数为________

A、


19、【填空题】<img style="width: 676px; height: 93px;" src="http://edu-image.nosdn.127.net/78B1286F4B2C9F86477095AE5D01DA9E.png?imageView&thumbnail=890x0&quality=100" />

A、


20、【填空题】<img src="http://edu-image.nosdn.127.net/D67A6E8785537B6FD5816A917E44AA24.png?imageView

A、


21、【填空题】<img style="width: 602px; height: 67px;" src="http://edu-image.nosdn.127.net/39AE741B67806214E3C4D3124E73D2C1.png?imageView&thumbnail=890x0&quality=100" />

A、


22、【填空题】<img style="width: 372px; height: 119px;" src="http://edu-image.nosdn.127.net/8437895EB33DDBB63144BFF7E7096ABF.png?imageView&thumbnail=890x0&quality=100" />

A、


23、【填空题】<img src="http://edu-image.nosdn.127.net/CA5BE49B1E22E6CEC08A8AB1A5059A64.png?imageView&thumbnail=890x0&quality=100" />

A、


24、【填空题】<img src="http://edu-image.nosdn.127.net/30959628F7D6630ED85A02EDE6A9E1D3.png?imageView

A、


25、【填空题】<img src="http://edu-image.nosdn.127.net/D7411EAD46F30D4FC5855CFCC9275178.png?imageView&thumbnail=890x0&quality=100" />

A、


26、【填空题】<img src="http://edu-image.nosdn.127.net/A423477DAE9150781F9D4F3FCC75EBAD.png?imageView

A、


27、【填空题】<img src="http://edu-image.nosdn.127.net/DC0EF0044A4B33E33B0B6025FD8D01F3.png?imageView&thumbnail=890x0&quality=100" />

A、


课堂测验

1、【单选题】设A,B,A+B,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_23509195-f4d8-4cd5-8943-e8f604e947e3.png" />均为n阶可逆矩阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7155a1bd-99e5-4ada-be2f-1bfdacc3d75a.png" />等于___________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d42e936d-c117-4fc6-b410-253289fc6856.png" />

B、A+B

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6beb0bf0-11f0-4efe-a149-e301d16c6e3f.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d7b2bd72-54cb-47b8-b3d4-366ec0b944a0.png" />


2、【多选题】若A,B都是n阶不可逆矩阵，则下列说法正确的是_______

A、A+B必是不可逆矩阵

B、AB是可逆矩阵

C、AB是不可逆矩阵

D、AB的伴随矩阵是不可逆矩阵


3、【判断题】设A,B都是可逆矩阵，则只用初等行变换可把矩阵A变为B

A、正确

B、错误


4、【填空题】设n阶矩阵A,B满足A+B=AB，则A-E的逆矩阵为__________

A、


随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/3A0AC6B6B62246705D958F4112196898.png?imageView height: 160px;" />则下列说法正确的是___________

A、<img src="http://edu-image.nosdn.127.net/C9A547D21010C661D11C6E66F0D14DBF.png?imageView&thumbnail=890x0&quality=100" style="width: 198px; height: 29px;" />

B、<img src="http://edu-image.nosdn.127.net/D9BBF7BE92B362408661C026F835DAD6.png?imageView&thumbnail=890x0&quality=100" style="width: 248px; height: 28px;" />

C、方程组不可能有唯一解

D、不能确定


2、【多选题】<img src="http://edu-image.nosdn.127.net/622A5CDEF7D3FD1D837CC6131156F564.png?imageView

A、<img src="http://edu-image.nosdn.127.net/91310B57EF4979437149EC6F0439EEB6.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/810FA8B86678434F04EFF4AC7531AA6A.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/19B6E3A24A109B2CC1C0617C9F335C89.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/FCC670A0F75BBEF49954F6E2C146F21D.png?imageView&thumbnail=890x0&quality=100" />


3、【判断题】<img src="http://edu-image.nosdn.127.net/24526C439F7EAC84F8BA312ABCF76756.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误


4、【判断题】<img src="http://edu-image.nosdn.127.net/98B3D13254AA65BDB941A61ABE491BF3.png?imageView

A、正确

B、错误


5、【填空题】<img src="http://edu-image.nosdn.127.net/499D1FD3E4AF4E3410DDFD042E734E81.png?imageView height: 25px;" /><img src="http://edu-image.nosdn.127.net/856A31F6E789ADE5DFAD6A86951AD978.png?imageView height: 25px;" />

A、


课堂测验

1、【单选题】设A,B,C均为n阶矩阵，E为n阶单位矩阵，若B=E+AB,C=A+CA，则B-C为_____

A、E

B、-E

C、A

D、-A


2、【多选题】设A，B为n阶可逆矩阵，且AB=BA，则下列结论中正确的是_____

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a132a8d5-f3d0-43fd-8c09-34068486d444.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_01af40d0-8f57-4708-8205-f6a9908be478.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_296793c2-0400-42ee-b873-204813ed2ac7.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_63896c44-1a60-45bb-9b1c-664f9b5b42a8.png" />


3、【判断题】设A为n阶不可逆矩阵，且满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7c766f69-f0b0-4a3b-b19b-6c808d804502.png" /> ,则A为零矩阵

A、正确

B、错误


4、【填空题】已知A，B，AB-E均为n阶可逆矩阵，且有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9e8cf7b6-85da-4040-b3f0-90d81fe4ce3a.png" />，则AB=______

A、


单元作业

单元测验

1、【单选题】设A与B均为方阵，分块对角矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6f9e0656-c7b8-4e73-a7f6-2973ae46487d.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b0028a2c-113d-4ed5-b0c2-d8c1d30a3030.png" />_________

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_19f9a828-6656-4470-9617-f01dad769db7.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1f3d486c-a732-4cde-af91-7708ea255229.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ecdc2c1f-49eb-4d46-bcc5-a6ecfe7ff83f.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6164bfca-0d72-462f-8023-73d0ce4589ec.png" />


2、【单选题】若A与B均为n阶不可逆矩阵，则______

A、A+B是不可逆矩阵

B、A+B是可逆矩阵

C、AB是可逆矩阵

D、AB是不可逆矩阵


3、【单选题】<img src="http://edu-image.nosdn.127.net/FEF853FCD156AC742DD6C43935DA7728.png?imageView&thumbnail=890x0&quality=100" />

A、9

B、-9

C、18

D、-18


4、【单选题】<img src="http://edu-image.nosdn.127.net/2887C0B9E20F8C526C56F2DF2A608149.png?imageView&thumbnail=890x0&quality=100" />

A、<img style="width: 102px; height: 53px;" src="http://edu-image.nosdn.127.net/CC0BFF9ED3FFFCB3B057EC303E140D0D.png?imageView&thumbnail=890x0&quality=100" />

B、<img style="width: 63px; height: 66px;" src="http://edu-image.nosdn.127.net/71DFF8E6E4C3F0288C7FB6907F39D87D.png?imageView&thumbnail=890x0&quality=100" />

C、-i

D、<img style="width: 70px; height: 59px;" src="http://edu-image.nosdn.127.net/0D31667DF335120267826595AE6F7C0A.png?imageView&thumbnail=890x0&quality=100" />


5、【单选题】<img src="http://edu-image.nosdn.127.net/1D90BCCAD9EFC99DD7EFDBF0EC052722.png?imageView height: 38px;" />

A、ACB=E

B、CBA=E

C、BAC=E

D、CAB=E


6、【单选题】<img src="http://edu-image.nosdn.127.net/412ED95FD7489AAA7F20FE1FF1FF70CD.png?imageView height: 20px;" />列结论正确的是___________

A、<img src="http://edu-image.nosdn.127.net/470F13FF7F151F7FDCF4380002395C91.png?imageView&thumbnail=890x0&quality=100" style="width: 257px; height: 30px;" />

B、<img src="http://edu-image.nosdn.127.net/ACD6873BA7753CA6251332B666D3DDAF.png?imageView&thumbnail=890x0&quality=100" style="width: 252px; height: 27px;" />

C、<img src="http://edu-image.nosdn.127.net/632199F53BEC512D6E01985D8B176605.png?imageView&thumbnail=890x0&quality=100" style="width: 202px; height: 27px;" />

D、<img src="http://edu-image.nosdn.127.net/559EE327D955753FF9A7ED777C515B14.png?imageView&thumbnail=890x0&quality=100" style="width: 261px; height: 29px;" />


7、【单选题】<img src="http://edu-image.nosdn.127.net/21486D58790E0E80819E4DD91E3FDEFD.png?imageView width: 543px; height: 92px;" />

A、<img src="http://edu-image.nosdn.127.net/6B1C2B66252C07936BD6FE21B2765FE9.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 124px; height: 75px;" />

B、<img src="http://edu-image.nosdn.127.net/3AEA4CE8A2431436741BCD7050ED0ABD.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 125px; height: 81px;" />

C、<img src="http://edu-image.nosdn.127.net/148F4784643DC96153DA2148216050F1.png?imageView&thumbnail=890x0&quality=100" style="width: 129px; height: 77px;" />

D、<img src="http://edu-image.nosdn.127.net/800DA8C41C9624A868D9C7C94F9FAF0A.png?imageView&thumbnail=890x0&quality=100" style="width: 125px; height: 76px;" />


8、【单选题】<img src="http://edu-image.nosdn.127.net/1E6D7A5C0E278E93DF25628BC789C766.png?imageView width: 328px; height: 114px;" /><img src="http://edu-image.nosdn.127.net/E34EEA128A753497E6D73AD9F08AC10C.png?imageView height: 21px;" />

A、<img src="http://edu-image.nosdn.127.net/89D6006369897185ED0A8DC451E7C604.png?imageView&thumbnail=890x0&quality=100" style="width: 116px; height: 29px;" />

B、<img src="http://edu-image.nosdn.127.net/FD0F32C0D3F6707493433E0ACDB964CB.png?imageView&thumbnail=890x0&quality=100" style="width: 218px; height: 30px;" />

C、<img src="http://edu-image.nosdn.127.net/3E1989D909A37A56D773E0DA9A9503D0.png?imageView&thumbnail=890x0&quality=100" style="width: 145px; height: 24px;" />

D、<img src="http://edu-image.nosdn.127.net/0E6662F42653322597D9A1D770FD84EB.png?imageView&thumbnail=890x0&quality=100" style="width: 121px; height: 25px;" />


9、【单选题】<img src="http://edu-image.nosdn.127.net/906B333D950862F206E7FFFF310150B1.png?imageView height: 163px;" />

A、<img src="http://edu-image.nosdn.127.net/A7D12EFF5617166352E4C3276836A26D.png?imageView&thumbnail=890x0&quality=100" style="width: 71px; height: 26px;" />

B、<img src="http://edu-image.nosdn.127.net/EF1B3700EEEBC3B8BF7812DA2239A22C.png?imageView&thumbnail=890x0&quality=100" style="width: 63px; height: 26px;" />

C、<img src="http://edu-image.nosdn.127.net/789D6CFF799B990C1AABBF25351DB0AA.png?imageView&thumbnail=890x0&quality=100" style="width: 65px; height: 31px;" />

D、<img src="http://edu-image.nosdn.127.net/83E94F9F450EF3C4BFE818AEDDC814EC.png?imageView&thumbnail=890x0&quality=100" style="width: 66px; height: 25px;" />


10、【多选题】设A、B均为n阶可逆矩阵，且AB=BA，则下列结论中正确的是_____

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2ebd8e8a-ed55-4ee0-babc-768dc0b71e68.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fbb31eba-b762-4345-a6cc-f908a83f3758.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2e8017e8-7bcd-4f9c-af1b-25d50b24a0f6.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_785ef109-fafd-4810-8b56-3370e4713a0d.png" />


11、【多选题】A为n阶矩阵，则下列说法正确的是_______

A、Ax=0仅有零解，则Ax=b有唯一解

B、Ax=0有非零解，则Ax=b有无穷多组解

C、Ax=b有无穷多组解，则Ax=0有非零解

D、Ax=b有唯一解，则Ax=0仅有零解


12、【多选题】<img src="http://edu-image.nosdn.127.net/F851B37DA32E524537FCDF7ECF9CFBEE.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/735F8C53B34FDD94BF4D78DDAEA2C800.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5934ABC5D1BD4FF1A3F505ADFD1D55F1.png?imageView&thumbnail=890x0&quality=100" />

C、-2

D、<img src="http://edu-image.nosdn.127.net/22D8C559D9369A469650DED5E2060396.png?imageView&thumbnail=890x0&quality=100" />


13、【多选题】<img src="http://edu-image.nosdn.127.net/8569E27B54B48C171176F53784AD86E9.png?imageView width: 559px; height: 33px;" />

A、<img src="http://edu-image.nosdn.127.net/DD86BC7AB68F1EA630E47FC03C8C587A.png?imageView&thumbnail=890x0&quality=100" style="width: 118px; height: 43px;" />

B、<img src="http://edu-image.nosdn.127.net/3454651BBFBAD34316FB39A1F9234872.png?imageView&thumbnail=890x0&quality=100" style="width: 140px; height: 42px;" />

C、<img src="http://edu-image.nosdn.127.net/C06376790B7778E06E2DEFF0499383CC.png?imageView&thumbnail=890x0&quality=100" style="width: 157px; height: 38px;" />

D、<img src="http://edu-image.nosdn.127.net/6F0A0CD98BAD245C2F12B03CE08E68D8.png?imageView&thumbnail=890x0&quality=100" style="width: 140px; height: 38px;" />


14、【多选题】下列结论正确的是___________

A、<img src="http://edu-image.nosdn.127.net/72AD598F80326C6FE99F80C73889D5FF.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 365px; height: 32px;" />

B、<img src="http://edu-image.nosdn.127.net/E5F6D01A38133F43F7EE2498B99FDEF5.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 316px; height: 30px;" />

C、<img src="http://edu-image.nosdn.127.net/D27DCFEF8727A761B28C82DA9211502E.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 251px; height: 25px;" />

D、<img src="http://edu-image.nosdn.127.net/58C4959DFDF374C519CEF6E381CD6BB8.png?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 351px; height: 25px;" />


15、【多选题】<img src="http://edu-image.nosdn.127.net/687733A37E8EE09C77D93D93AFEF7D0D.png?imageView height: 26px;" />

A、<img src="http://edu-image.nosdn.127.net/83BA489516BFFB5BAC71EB8BD686CE3E.png?imageView&thumbnail=890x0&quality=100" style="width: 134px; height: 39px;" />

B、<img src="http://edu-image.nosdn.127.net/BF4DF1BE08DD7CD94F214FD73B491F74.png?imageView&thumbnail=890x0&quality=100" style="width: 171px; height: 37px;" />

C、<img src="http://edu-image.nosdn.127.net/F3F0FAA756638B7005447765672424AF.png?imageView&thumbnail=890x0&quality=100" style="width: 162px; height: 34px;" />

D、<img src="http://edu-image.nosdn.127.net/93D2A808BD5B17835EF3AA284409F374.png?imageView&thumbnail=890x0&quality=100" style="width: 146px; height: 29px;" />


16、【多选题】<img src="http://edu-image.nosdn.127.net/9EF9071530412F5FD25138492B27D0A8.png?imageView height: 28px;" />

A、<img src="http://edu-image.nosdn.127.net/98593AD6252E94C177E1CF667496BF98.png?imageView&thumbnail=890x0&quality=100" style="width: 304px; height: 26px;" />

B、<img src="http://edu-image.nosdn.127.net/D83189EEFCBFB888A6626A080AF59E5D.png?imageView&thumbnail=890x0&quality=100" style="width: 270px; height: 30px;" />

C、<img src="http://edu-image.nosdn.127.net/057E5FDE9C4D235EB0CDC88AB23E01D9.png?imageView&thumbnail=890x0&quality=100" style="width: 433px; height: 28px;" />

D、<img src="http://edu-image.nosdn.127.net/3F426354B238E03EE05678E11B86FBB9.png?imageView&thumbnail=890x0&quality=100" style="width: 477px; height: 29px;" />


17、【多选题】<img src="http://edu-image.nosdn.127.net/E758C6FCD64B162C07BD665E0D94FDD1.png?imageView height: 112px;" /><img src="http://edu-image.nosdn.127.net/97299261AE8BFEA6EA8297AF7050170B.png?imageView height: 28px;" />

A、<img src="http://edu-image.nosdn.127.net/485EC3F8778C1C5F5A0CC45A803D6B81.png?imageView&thumbnail=890x0&quality=100" style="width: 193px; height: 25px;" />

B、<img src="http://edu-image.nosdn.127.net/EDFE0F19E96EBA8FD0798724821ED0E9.png?imageView&thumbnail=890x0&quality=100" style="width: 174px; height: 28px;" />

C、<img src="http://edu-image.nosdn.127.net/55C7DEB425CC45AD3E882C503CBC2904.png?imageView&thumbnail=890x0&quality=100" style="width: 188px; height: 26px;" />

D、<img src="http://edu-image.nosdn.127.net/47DC5569C173E264B1FEFD6C9930201A.png?imageView&thumbnail=890x0&quality=100" style="width: 193px; height: 27px;" />


18、【判断题】设A与B均为n阶可逆矩阵，则只用初等行变换可把A变为B

A、正确

B、错误


19、【判断题】A为n阶不可逆矩阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1fe3554b-4cda-427a-bb17-90ea89387e34.png" />，则A=0.

A、正确

B、错误


20、【判断题】A为n阶可逆矩阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1fe3554b-4cda-427a-bb17-90ea89387e34.png" style="white-space: normal;" />，则A为单位矩阵.

A、正确

B、错误


21、【判断题】<img src="http://edu-image.nosdn.127.net/DCA406F492944172D2BEA0B5D3E32D24.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误


22、【判断题】<img src="http://edu-image.nosdn.127.net/0F47A3770BCB9C8B57E8C532AF150C22.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误


23、【判断题】<img src="http://edu-image.nosdn.127.net/2B6CF16CCA6C961DA86C59F0B0DB8438.png?imageView height: 32px;" />

A、正确

B、错误


24、【判断题】<img src="http://edu-image.nosdn.127.net/C6D9C94AC46E5D6A37BD506C279B4A34.png?imageView height: 32px;" />

A、正确

B、错误


25、【判断题】<img src="http://edu-image.nosdn.127.net/9633A7C90D9AB5CCAD527D83B80349A4.png?imageView height: 29px;" />

A、正确

B、错误


26、【判断题】<img src="http://edu-image.nosdn.127.net/36AECC261A2415FDEAB9C173672BE0D5.png?imageView height: 37px;" />

A、正确

B、错误


27、【判断题】<img src="http://edu-image.nosdn.127.net/64FC1B60637653EF1D81F5DA3B58517E.png?imageView height: 46px;" />

A、正确

B、错误


28、【判断题】<img src="http://edu-image.nosdn.127.net/61FC2BCDBDA73DF73E5FFBF8E83F0F84.png?imageView height: 39px;" />

A、正确

B、错误


29、【判断题】<img src="http://edu-image.nosdn.127.net/1AAF2E0BB5D2D877A67328EB0109DFC0.png?imageView width: 551px; height: 32px;" /><img src="http://edu-image.nosdn.127.net/850F1B4C2DD0F7975B9FD697CFEC94CF.png?imageView height: 28px;" />

A、正确

B、错误


30、【判断题】<img src="http://edu-image.nosdn.127.net/AEC7A1C9DD4A728A1DE07DCB996E48C2.png?imageView width: 357px; height: 25px;" /><img src="http://edu-image.nosdn.127.net/6799B570E178BD493D7BC68C95BD05C2.png?imageView height: 22px;" />

A、正确

B、错误


31、【判断题】<img src="http://edu-image.nosdn.127.net/9ADDC83AE50B967912B5CC6B65CEBD5A.png?imageView width: 513px; height: 30px;" /><img src="http://edu-image.nosdn.127.net/4AA6D3801DA3DB02C09F737BE80D65A3.png?imageView height: 25px;" />

A、正确

B、错误


32、【判断题】<img src="http://edu-image.nosdn.127.net/FFD8245D7554578CBBAD23D08007626D.png?imageView width: 468px; height: 27px;" /><img src="http://edu-image.nosdn.127.net/7E3D900D5D1AEF2889BAC6DE5E7F406C.png?imageView width: 332px; height: 29px;" />

A、正确

B、错误


33、【填空题】<img src="http://edu-image.nosdn.127.net/1FB5954860E9677B31A7B9EB2EE19B5A.png?imageView&thumbnail=890x0&quality=100" />

A、


34、【填空题】<img src="http://edu-image.nosdn.127.net/007232DA65147FE0F707BA9C46DE2C20.png?imageView&thumbnail=890x0&quality=100" />

A、


35、【填空题】<img src="http://edu-image.nosdn.127.net/639927DEDA897E4DB9E00214F39B133D.png?imageView height: 31px;" />

A、


36、【填空题】<img src="http://edu-image.nosdn.127.net/CF42589283CAF9C44AA2DA51ED3446D4.png?imageView width: 356px; height: 72px;" /><img src="http://edu-image.nosdn.127.net/5B4F1213BC371917B103F07FC46377F0.png?imageView height: 19px;" />

A、


37、【填空题】<img src="http://edu-image.nosdn.127.net/B51166B8BE17D70392FBF6977DA6E1F0.png?imageView height: 29px;" />

A、


38、【填空题】<img src="http://edu-image.nosdn.127.net/3B412C927B9D91E08DC4BBAE781CA9BB.png?imageView height: 31px;" />

A、


39、【填空题】<img src="http://edu-image.nosdn.127.net/1633B315905A4A0E8F3807CCE7B12480.png?imageView height: 122px;" /><img src="http://edu-image.nosdn.127.net/39E4377D2B1EBB2D391C325EBB88F515.png?imageView height: 85px;" />

A、


40、【填空题】<img src="http://edu-image.nosdn.127.net/078388A224535C84E5B45FDE793D06D2.png?imageView width: 326px; height: 130px;" /><img src="http://edu-image.nosdn.127.net/2698206D608035351C18B4685583AD21.png?imageView height: 33px;" />

A、


随堂测验

1、【单选题】下列向量组线性无关的是

A、<img src="http://edu-image.nosdn.127.net/CEA99F4360E8BFE88A3F3EE39B303A68.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/315DA91CEFD5A6707B42960A619002A1.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/62DC370E545CE90A3CA5F6C8D12ED223.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/98DE36709F2A8E74743AF7B918A67D27.png?imageView&thumbnail=890x0&quality=100" />


2、【判断题】<img src="http://edu-image.nosdn.127.net/DB67E09CE5BE9E190DC9BF31220186D6.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误


3、【填空题】<img src="http://edu-image.nosdn.127.net/DC856850456470C49C35BEF171F42691.png?imageView

A、


课堂测验

1、【单选题】下列不是n阶方阵A为满秩阵的充要条件有_______

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bc7c3ccc-9993-46c5-ba41-6ba289a15bff.png" />

B、r(A)=n

C、A的列向量组线性无关

D、Ax=0有非零解


2、【多选题】下列结论正确的是________

A、若r (A) = r, 则A中所有r阶子阵都非奇异

B、若r (A) = r, 则A中至少有一个r+1阶子阵非奇异

C、若r (A) = r, 则A中至少有一个r-1阶子阵非奇异

D、若r (A) = r, 则A至少有r个列向量线性无关


3、【判断题】若r (A) = r, 则A的前r行向量线性无关.

A、正确

B、错误


4、【填空题】已知向量<img src="http://nos.netease.com/edu-image/294bfdb0911641d3a764199a252baae4.png" style="width: 64px; height: 27px;" />线性无关，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1fe3fb07-c86d-4aed-aa50-3b47cd55f320.png" />，矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_764605ce-5036-40c0-9a7d-7c0d7fd1eb69.png" />，则r(A)=_____

A、


随堂测验

1、【单选题】若向量组I与向量组II 等价，则下列选项正确的是 ( )

A、当向量组I线性无关时，向量组II也线性无关

B、当向量组I线性相关时，向量组II也线性相关

C、向量组I与向量组II的极大无关组相同

D、向量组I与向量组II的极大无关组等价


2、【单选题】设矩阵A,B,P满足B=PA, 且 P为可逆阵，则下列选项正确的是

A、A的行向量组与B的行向量组等价

B、A的列向量组与B的列向量组等价

C、P的行向量组与B的行向量组等价

D、P的列向量组与B的列向量组等价


3、【判断题】若向量组I与向量组II 等价，则由向量组I与向量组II构成的矩阵也等价

A、正确

B、错误


4、【判断题】若矩阵I与矩阵II 等价，则矩阵I的列向量组与矩阵II的列向量组也等价

A、正确

B、错误


5、【填空题】<img src="http://edu-image.nosdn.127.net/816D3903B1A91BC97569E08226C4F82D.png?imageView&thumbnail=890x0&quality=100" />

A、


6、【填空题】<img src="http://edu-image.nosdn.127.net/6A6D92419B290106C0C00C1AE1FD9FE0.png?imageView&thumbnail=890x0&quality=100" />

A、


课堂测验

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_26c03c2e-3f06-4319-9a75-8d9e48dbb837.png" />为线性无关的三元列向量，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_04a79646-fd81-47e7-94d8-07424a9b660a.png" />，则r(AB)=________

A、1

B、2

C、3

D、0


2、【多选题】如下矩阵中，与矩阵A的秩一定相同的是_______

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7fd4f09e-229d-40ee-bc16-003fa5a9a92f.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_81d45c8a-9a1b-4222-8f5d-d0f6afbc01eb.png" />

C、A的等价矩阵

D、(A,O)


3、【判断题】若5阶方阵A满足r(A)=3，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1628f12b-0338-4e50-ba50-c893a01df9e3.png" />

A、正确

B、错误


4、【填空题】设3阶非零方阵A和B等价，且满足AB=0，则r(A)=______

A、


5、【填空题】设A是5阶方阵，r(A)=2，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_924a2ba6-5c47-49ef-9acd-c8f761aaae07.png" />则r(A-E)=______

A、


课堂测验

1、【单选题】设A是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_83ef8f88-dace-4f39-b22c-052b93126143.png" />矩阵，B是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fbad9ff3-fe82-43f5-a3e4-a9bb57a48c26.png" />矩阵，E是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f2365431-6a47-4b36-9328-96654509b445.png" />矩阵，若AB=E，则____

A、r(A)=m,r(B)=m

B、r(A)=m,r(B)=n

C、r(A)=n,r(B)=m

D、r(A)=n,r(B)=n


课堂测验

1、【单选题】假定x，y是齐次线性方程组的基础解系，下面不是基础解系的是______

A、3x,4y

B、x-y,x+y

C、x,x+y

D、x-y,y-x


2、【单选题】<img src="http://nos.netease.com/edu-image/54070478d0b44be2b820965223d48dc7.png" />

A、<img src="http://nos.netease.com/edu-image/84fdd6b32db345b1b591958dfbbe7fcc.png" />

B、<img src="http://nos.netease.com/edu-image/49724feb81854bcf9d9e655735ed4f4c.png" />

C、<img src="http://nos.netease.com/edu-image/853dcce05b6941a7810550aad667a5e4.png" />

D、<img src="http://nos.netease.com/edu-image/304b70c75e38435ea4dd409acadf48e7.png" />


3、【多选题】<img src="http://nos.netease.com/edu-image/ffc93ac50a9746d4a4965b7699361065.png" />

A、<img src="http://nos.netease.com/edu-image/30640c9d56db48428657537e4ca4e26e.png" />

B、<img src="http://nos.netease.com/edu-image/2d5b48d4c2e24186af6355c6d4b14691.png" />

C、<img src="http://nos.netease.com/edu-image/30877f7ac772403c92ed533ca6d668f3.png" />

D、<img src="http://nos.netease.com/edu-image/1729fce7467e44febfd2e6222e6e553e.png" />


4、【填空题】<img src="http://nos.netease.com/edu-image/793e6326dc164293a81db07b4ad25014.png" />

A、


课堂测验

1、【单选题】<img src="http://nos.netease.com/edu-image/12e544147e7b420e9e9fb4388301d18d.png" />

A、<img src="http://nos.netease.com/edu-image/e4577890ea1943329f8d055b674e6e5a.png" />

B、<img src="http://nos.netease.com/edu-image/27fccfa6504040ae95ddad78d747e7df.png" />

C、<img src="http://nos.netease.com/edu-image/ee0d7ee7873d4f34987cb585c7925191.png" />

D、<img src="http://nos.netease.com/edu-image/795ff199dd2f4a3b9717215cbd0eb2a5.png" />


2、【多选题】<img src="http://nos.netease.com/edu-image/ea0052d1fbf649c28ec552ccfd3ad8ab.png" />

A、<img src="http://nos.netease.com/edu-image/200ccda442af476db07d8df48a0e15cc.png" />

B、<img src="http://nos.netease.com/edu-image/6c6239d7e0bb49bb93eab96c02035730.png" />

C、<img src="http://nos.netease.com/edu-image/97b3bdaca5d54bd5a4225d6decbddfc6.png" />

D、<img src="http://nos.netease.com/edu-image/7280f31066ef4faba3858adecfe9b73b.png" />


3、【判断题】变量个数和方程个数不同的齐次线性方程组有无穷多个解

A、正确

B、错误


4、【判断题】<img src="http://nos.netease.com/edu-image/4ab088ccf5ee4da5a0be6fad471370ff.png" />

A、正确

B、错误


5、【填空题】<img src="http://nos.netease.com/edu-image/80bab003d9cd4eed9dc22ba97f5ee601.png" />

A、


课堂测验

1、【单选题】<img src="http://nos.netease.com/edu-image/9ef44f7fee8644c1a99352bd767ff2bc.png" />

A、<img src="http://nos.netease.com/edu-image/c166437a5cf043b59a5429423e6e3418.png" />

B、<img src="http://nos.netease.com/edu-image/17c9ac3f909343cd9618948c800127ba.png" />

C、<img src="http://nos.netease.com/edu-image/51cecced4f1c48778fbb55cb43b950c3.png" />

D、<img src="http://nos.netease.com/edu-image/46471a8f498442e7a3fada9dbfbf4430.png" />


2、【多选题】<img src="http://nos.netease.com/edu-image/2fec3baebfdc45ab810ba40d444a40c4.png" />

A、<img src="http://nos.netease.com/edu-image/f3025566e6f54f8f9c0fa6a920e24c42.png" />

B、<img src="http://nos.netease.com/edu-image/a4d0c9f35391432db4f8d03c770d3e7e.png" />

C、<img src="http://nos.netease.com/edu-image/8153446f2da0490284c1563dc923bb47.png" />

D、<img src="http://nos.netease.com/edu-image/e5ed4e6bb1b0494494608a0d7c267625.png" />


3、【填空题】<img src="http://nos.netease.com/edu-image/14543e245f624df097a5b4e01c8d3738.png" /><img src="http://nos.netease.com/edu-image/4a8e137642a34a739e781e109ad65cd9.png" />

A、


课堂测验

1、【多选题】<img src="http://nos.netease.com/edu-image/143cdefb37694492b873e7a6f0acbbac.png" />

A、2

B、-2

C、4

D、-4


2、【判断题】齐次线性方程组有非零解，则对应的非齐次线性方程组有无穷多组解

A、正确

B、错误


3、【判断题】<img src="http://nos.netease.com/edu-image/378edda64e3e48e0b50099406374859d.png" />

A、正确

B、错误


4、【填空题】<img src="http://nos.netease.com/edu-image/66002fcb288947eaac9deea978cb4d76.png" />

A、




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