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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-苏州科技大学 (2)

来源：百年教育职业培训中心　更新时间：2022-05-30 21:30:37

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1.1矩阵定义的随堂测验

1、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a6cdf014-5257-4df6-9db5-a549351d7823.png" />是最简形矩阵。

A、正确

B、错误

2、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_36193371-c2fa-40e7-a9e5-78b977291bef.png" />是最简形矩阵。

A、正确

B、错误

3、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9ee83068-789f-401a-92d1-8e104aaa4028.png" />是最简形矩阵：

A、正确

B、错误

4、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6fd87081-aad1-470f-b941-4c850bdbb9ac.png" />是最简形矩阵.

A、正确

B、错误

5、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a146a83d-13bb-45b6-8cbb-010df8f738fb.png" />是行阶梯形矩阵.

A、正确

B、错误

6、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8887dc15-b7e3-498b-9cf0-085eb1ada950.png" />是行阶梯形矩阵.

A、正确

B、错误

7、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_72301a2b-57c6-45d4-babc-7737819b30df.png" />是行阶梯形矩阵.

A、正确

B、错误

1.2初等变换随堂测验

1、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7f97f3ce-7f66-4766-a662-5bcea3f65794.png" />是初等矩阵.

A、正确

B、错误

2、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b998ba34-3274-4878-8263-f93a8f3a21f3.png" />是初等矩阵.

A、正确

B、错误

3、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_656e122a-3987-4378-ac55-8195c0921cfd.png" />是初等矩阵.

A、正确

B、错误

4、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a8e1635f-4f99-46a5-8679-0d9f2a489991.png" />是初等矩阵.

A、正确

B、错误

第一章测验

1、【判断题】初等矩阵的转置矩阵仍为初等矩阵。

A、正确

B、错误

2、【判断题】对单位矩阵实行初等变换后得到的矩阵都是初等矩阵。

A、正确

B、错误

3、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6e5568e5-74e0-4c87-9c94-c56548d2d018.png" />是行最简形

A、正确

B、错误

4、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_677049ac-9b69-4e51-8427-a7c69a765291.png" />是行最简形

A、正确

B、错误

5、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_818abcaf-f5ec-49e0-be05-efd6d02badf3.png" />不是行最简形

A、正确

B、错误

6、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1d31d41f-c7d3-42e0-b51b-a7f0859961ff.png" />是行最简形

A、正确

B、错误

7、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d08e2655-7ef4-4692-b8a7-85637bc09024.png" />是初等矩阵

A、正确

B、错误

8、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_81f49928-1c4b-4daa-b116-ca1e7649cf7b.png" style="white-space: normal;" />是初等矩阵

A、正确

B、错误

9、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f8c0e0e1-5245-495b-8dc6-d00ca6a06164.png" />不是初等矩阵

A、正确

B、错误

10、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dd3aa4da-de51-46eb-af5d-0a4fb19e0107.png" />是行最简形

A、正确

B、错误

11、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_35d564f9-b169-4a46-95b8-2e904bed6035.png" />是行最简形

A、正确

B、错误

12、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ba2bf87d-5a72-4581-97b6-ae2fffbef907.png" />不是初等矩阵

A、正确

B、错误

13、【判断题】矩阵<img style="white-space: normal;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_117579db-0d16-4b1b-abbd-880fa9854cdc.png" />是初等矩阵

A、正确

B、错误

14、【判断题】以<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_915a7487-ac0f-415a-bd55-02e477b4ee60.png" />为系数矩阵的齐次线性方程组有无穷多解。

A、正确

B、错误

15、【判断题】以<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_05773ec4-bc51-44eb-9e01-c456c9815064.png" />为增广矩阵的非齐次线性方程组有无穷多解

A、正确

B、错误

16、【判断题】若某齐次线性方程组的系数矩阵的行最简型为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a99d67e2-268a-4d03-a274-4b2f83164b83.png" />，则该方程组有非零解。

A、正确

B、错误

17、【判断题】若某非齐次线性方程组的增广矩阵的行最简型为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c44aa926-ec51-455b-93b9-f3b2ea2cf157.png" style="white-space: normal;" />，则该方程组有唯一解。

A、正确

B、错误

18、【判断题】若某非齐次线性方程组的增广矩阵的行最简型为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5782b428-8258-4293-9430-2769b2d852e2.png" />，则该方程组有唯一解。

A、正确

B、错误

2.1的随堂练习

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_22b6c6c3-f2fa-47b1-b3e1-52b17548cab7.png" />与<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_41bc57ac-23b2-477a-98af-e9770ca8ea23.png" />为矩阵且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3493b9bf-f295-48ab-9c47-e54ede3d60d6.png" />,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c028d3a1-246e-4764-b4c7-40d2f535a909.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_af59af39-32b1-421c-b9d0-6b15d113055d.png" />的矩阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_81591ebc-c961-4860-ac28-156a2ca7fb94.png" />与<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a7e672e1-112e-4605-a2e6-855d412f2c94.png" />分别是什么矩阵。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ba5416f1-6ef1-480c-9655-57e6f0e9421d.png" /> <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aa0d8953-0aaa-481b-b4ba-f7b23f0db036.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aa0d8953-0aaa-481b-b4ba-f7b23f0db036.png" style="white-space: normal;" /> <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ba5416f1-6ef1-480c-9655-57e6f0e9421d.png" style="white-space: normal;" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_119741df-1b7b-47d1-89e4-8cdb01744903.png" /> <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_218af27c-5c04-4098-b789-8fac09bc76aa.png" style="white-space: normal;" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_218af27c-5c04-4098-b789-8fac09bc76aa.png" style="white-space: normal; width: 44px; height: 19px;" /> <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_119741df-1b7b-47d1-89e4-8cdb01744903.png" style="white-space: normal;" />

2、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_77f2f4ea-f294-4e8c-bb59-1721e185b00e.png" />、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8142bb73-d701-4e41-bca1-38ab5e4c04b4.png" />均为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fc8379e1-ea54-48b5-89f9-ed5f3968005d.png" />阶方阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_208048f8-9d65-4ed5-9c96-1b8c982af942.png" />=<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_21c06faf-068b-47b4-a987-c913d3449ba1.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_314278cd-f6e6-4dc7-9f49-cce71882733d.png" />(<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_42dfebc4-1d2e-47ca-9e9b-df3776cd45bf.png" />为正整数)

A、正确

B、错误

3、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c0f38f7c-7309-4349-b501-b67d2f0ef0aa.png" />、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_98e445ed-15ca-4c25-b9c2-20becb61c503.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_82717285-f154-42c0-bcc5-18036eee8e4b.png" />阶方阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_322c1be4-1f2f-4b49-8f01-b3e7d7229869.png" />，其中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f0c7c30e-565f-40de-ba5b-6dfad62b90d6.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f063bbbd-122d-4ea7-8c44-b65273a82f83.png" />。

A、正确

B、错误

4、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b3d379ec-00cb-41ef-bef5-e3a25aee74cd.png" />,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3b310437-a23c-4ce8-a352-6f9e5e9a8a2b.png" />,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f63dc4b9-85f9-420e-9e7c-179ad0fc97ca.png" />都是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_722dea60-d97f-4636-962e-ff92ac7f646c.png" />阶矩阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_054dca92-77ee-4a04-b478-9deee340ac7d.png" />,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c88a373e-b2be-4be0-94e5-26e8c31692f6.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_00503013-8833-4206-b018-0bb0946af219.png" />。

A、正确

B、错误

5、【判断题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d998eea6-618d-497f-a113-9b873d2da882.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f05cdb54-939c-478a-ac73-2a6972855ec7.png" />阶对角矩阵，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d9bb2cf5-cc9d-4b81-9d9c-35a62c471cc5.png" />、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_629c43e7-3722-4823-bced-412a012dcefc.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6d85320e-5eac-40e9-9e62-0f7383645736.png" />阶方阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_88e5496e-ab71-46b1-bacb-46004b16213c.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ab31ce0e-0c83-4ba3-b6b2-ba556400e3f8.png" />也是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8cf91364-d497-4d01-b060-ac04ecc5915c.png" />阶对角矩阵。

A、正确

B、错误

2.2的随堂练习

1、【判断题】设矩阵A=<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bcaea60a-7ebe-43da-89b3-66f71343913b.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5cc1c1fd-30ce-48af-8be2-8e8d4397b2da.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6a3d88fd-c337-4f41-9a3f-385d13c816e6.png" />

A、正确

B、错误

2、【判断题】设矩阵A=<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bcaea60a-7ebe-43da-89b3-66f71343913b.png" style="white-space: normal;" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5cc1c1fd-30ce-48af-8be2-8e8d4397b2da.png" style="white-space: normal;" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_90d663b6-d129-41b8-a719-5e3c5382dc2e.png" />

A、正确

B、错误

2.3的随堂练习

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d6fb27f9-e94f-4ac2-80d9-bedb495adeb8.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f0e80153-607b-497f-bf17-3e5116bffff8.png" />阶可逆矩阵，则下列不正确的是（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_96304832-5b2a-49b5-89d9-d5ebeecc6384.png" />可逆

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c241fba-9d2b-43fa-afa9-505f6e0c9909.png" />可逆

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_28da9c94-23d8-459d-8aed-837393a3a42d.png" />可逆

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7a54e610-b33d-4cc6-8d31-fede6875f5a4.png" />可逆

2、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f8bb386b-5351-4a37-b887-dc754aeeb657.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_48cfc08c-5f71-4582-b303-fbecde0c61dc.png" />阶可逆矩阵，则下列一定正确的是（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1aea9400-6fbe-4ba8-8933-122cfec1f415.png" />可逆

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3ce8cce0-3504-4e87-9a28-5a0987df3a51.png" />可逆

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_08a4d9fc-35bc-4335-905d-31d32f24f01f.png" />不可逆

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_49171d87-24d3-4b97-9797-8eed64396db6.png" />不可逆

3、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0cd26f79-24e7-494a-9125-d77a0aab47a7.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_edd8fc54-cddf-4cd9-b9b1-9a02c834a2aa.png" />阶方阵，若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_20691617-7c0e-4e02-a72e-e39696b75677.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0970a1a9-79b9-4359-af61-e1efe8326da1.png" />。

A、正确

B、错误

4、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8db53a66-e3f0-4301-815a-66fea7f398ab.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3087d31b-b248-404e-b9b1-163f01fa2291.png" />阶方阵，若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a86dc95b-4f60-47f3-8dd4-1f657d67a333.png" />不可逆，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6c736835-0709-4d8a-8293-c488d769f7f8.png" />都不可逆。

A、正确

B、错误

5、【判断题】判断下列给出结论是否正确：若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dbe7a01b-fc59-4e36-8943-607d1cd93b02.png" />是对称矩阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a5faa54c-48f9-4a99-a168-1f51a2dc1d18.png" />也是对称矩阵。

A、正确

B、错误

2.4的随堂练习

1、【单选题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_04384d25-c515-4905-bb25-81b8c47b0d5c.png" />的秩为（）。

A、2

B、3

C、4

D、1

2、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8ac1528a-6ce7-43be-8202-9687cd3b24e9.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7dc01f83-3cd5-4250-b49e-9eda670cea46.png" />矩阵，若矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4906772c-dcae-465f-a4b6-38bdf423a90d.png" />的秩为2，则矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f1b77d0d-4064-499a-902d-7f28d4ac2696.png" />的秩等于（）。

A、1

B、2

C、3

D、4

3、【判断题】两个矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d3f00c85-3105-4137-842d-853a8b667b7d.png" />和<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_41442367-d784-4bf8-bbcb-579556bb2978.png" />,如果秩（<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7da1f54a-cbd9-4698-bcdb-3e7a93c4220a.png" />）等于秩（<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_413a30ac-72fa-4420-a51a-bc01b5189369.png" />）,那么<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c303622a-0b98-4a75-9348-2aec39796bd1.png" />与<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_75b0eb65-9551-4b25-b0e8-540ca31060ef.png" />等价。

A、正确

B、错误

4、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_02041839-7421-4d2c-9047-ceba53584df6.png" />的秩与它的转置矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1f12f501-8776-4413-8dab-c977005c4877.png" />的秩相等。

A、正确

B、错误

5、【判断题】矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b7844e2a-c462-4159-9d41-45621d511a08.png" />满足<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_58225d31-42a7-4e25-85c2-82602b79dc62.png" />,若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_db5adddb-b988-4ac5-95b4-abd37110ddc4.png" />可逆，那么<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a89c4a98-3130-4363-8a6d-3ce6d7fcffe4.png" />等价于<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_479d635b-82ac-48d9-8bf1-23893b0ef724.png" />。

A、正确

B、错误

2.5的随堂练习

1、【判断题】齐次线性方程组如果有非零解，那么方程的个数小于未知数的个数。

A、正确

B、错误

2、【判断题】齐次线性方程组有非零解的充要条件是系数矩阵的秩小于方程的个数。

A、正确

B、错误

第二章测试

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ab8d6339-0354-4fd9-8e80-4910bba683ff.png" />均为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d86c877b-d57f-4650-9174-e18b3d15bbb7.png" />阶可逆矩阵，若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d4aec0de-432e-4534-957b-730a93b56805.png" />成立，则下列结论不正确的是（）

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9b999a11-1705-4154-82a5-21da50ddd401.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f71b6c4f-bd98-46e9-b3be-c11a1106b7f4.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1e3a6d89-e969-415b-b4e1-82adfb55c1dd.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_19c594c3-ada4-47a8-83dc-785dbd01f87d.png" />

2、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_77cc22da-b7dd-4800-9f70-7bb6edfab1ed.png" />均为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_349e1cc8-6580-43e3-9742-37e3eaf9eb18.png" />阶可逆矩阵，若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ba3fa162-592b-4d45-a1da-a8982d0d1901.png" />及<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8131c16a-4e9c-41ec-a8c8-b073f185c1c8.png" />成立，则（）

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_31827e29-49a2-4076-ae2c-7076d55299f2.png" />或<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5f8dacdb-36cf-4510-af4c-3cd0776d4f0e.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a336ba19-5433-478d-b6b4-a9ed6bcdb460.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_52aee62a-086f-43ba-ad7c-da30ee25ef43.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_051257f2-4533-40b7-b822-d9a2204c52ee.png" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/284B5BFF51FD869D59F829A6C4EEB57B.jpg?imageView

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_36cf3f7f-3df7-4f30-bbda-fdbef8a4e21f.png" style="width: 14px; height: 19px;" />

B、<img src="http://edu-image.nosdn.127.net/552B6AE444B15EC5D08377AED8640D67.jpg?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/5FEE6C77915FB7AAB1BBBD12375E8559.jpg?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_049eee29-f50b-483e-92fb-329c1143ad1d.png" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/AB9695A49AA64EEF9DE78BAC9FA022C2.jpg?imageView

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e345b024-91be-40d1-886a-0553a8eebdae.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8a4f4d04-e8d5-4efd-915c-98da25e86933.png" />

C、<img src="http://edu-image.nosdn.127.net/DB7FC6F54283D6BF98B9324C50ACE8AA.jpg?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4B2851B50079653598D1229639DDD330.jpg?imageView&thumbnail=890x0&quality=100" />

5、【单选题】<img src="http://nos.netease.com/edu-image/facf383109044c609711de5026c0fa44.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_26e1bfc1-6898-46da-873b-b5dcfafa6c07.png" />

B、-I

C、I

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4256b76b-100f-49c7-98ab-a448c4a398a4.png" />

6、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_71ca7eb2-318a-464d-bc6a-f2165c290a63.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cbd55d74-0e8a-4741-b6a5-6c13336dcc2a.png" /> ,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_480a239c-3067-4cac-b568-82ad0740e890.png" />可交换的充要条件为（）

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3abcab5f-bf4f-44c2-95c7-d08298f33ec3.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_49290760-e661-4bce-97a0-df88dd25c4e9.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ac08b1c4-32b7-46d5-a980-0836a75fe892.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_598b4e59-9d91-452b-b89f-aebec958be5a.png" />

7、【单选题】下列命题正确的是（）

A、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ea4e071f-4aa1-4161-ac9e-0279b058db6a.png" /> , 则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_36fac36f-35f8-4eab-a364-cd6dc9c4b9f3.png" />不一定可逆

B、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4aaac594-4695-487d-8c47-c9d36960854b.png" />均为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bcabd7aa-51b6-48cd-9c96-ea4c80c1dc52.png" />阶可逆矩阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_67fe1922-b505-4128-b815-3e07834a8a41.png" />必可逆

C、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4aaac594-4695-487d-8c47-c9d36960854b.png" style="white-space: normal;" />均为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bcabd7aa-51b6-48cd-9c96-ea4c80c1dc52.png" style="white-space: normal;" />阶不可逆矩阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_efeae002-53c6-447c-997a-c8a078038904.png" />必不可逆

D、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4aaac594-4695-487d-8c47-c9d36960854b.png" style="white-space: normal;" />均为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bcabd7aa-51b6-48cd-9c96-ea4c80c1dc52.png" style="white-space: normal;" />阶不可逆矩阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_16085dff-9415-483c-908f-cee7adcb508d.png" />必不可逆

8、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1508f924-dc89-4ad5-aeba-31a671d8579f.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8f73318f-a991-42e0-adb5-dce3839e3d57.png" />阶矩阵，则必有（）

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4f9e8f31-8dea-4f49-add2-c077859deed8.png" />或<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f740381d-7501-460e-9e6a-6e72708676fc.png" />可逆，必有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e2a87d66-0f1f-4e0a-9904-77b7689e2154.png" />可逆

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4f9e8f31-8dea-4f49-add2-c077859deed8.png" style="white-space: normal;" />或<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f740381d-7501-460e-9e6a-6e72708676fc.png" style="white-space: normal;" />不可逆，必有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e2a87d66-0f1f-4e0a-9904-77b7689e2154.png" style="white-space: normal;" />不可逆

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8785b244-2802-42db-ba79-447f2f848a24.png" />且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_52d8d6c7-9a38-4ac9-9d5e-c055bfe377ce.png" />可逆，必有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c431d2db-8608-47c9-9d02-3d90adc62ec0.png" />可逆

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1d6ba056-8bb2-4b08-ae74-272d3cc8395b.png" />且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7cb3b06c-07c3-4148-b9c7-e5f31dfc43a6.png" />不可逆，必有<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_17d22490-061e-4b9d-a36a-b4d3b06a9460.png" />不可逆

9、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f2f6163e-75cf-48dc-8027-722bd4d86806.png" />和<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e45adf33-fd3b-47b6-8967-888751a80151.png" />都是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_00cee0be-b3f0-4b7f-a749-8d3b8b80b2e1.png" />阶可逆矩阵，则必有（）

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a7e6c9d9-e495-4cea-9df7-7c49e10af01a.png" />

B、存在可逆矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7c1e51f4-5951-4c35-b4b3-6b5fd98576b4.png" />使<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_32ce77ed-619e-4b0e-9fff-459e1131756d.png" />

C、存在可逆矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2091f7da-89d0-4d21-aa3f-ced8262c138e.png" />使得<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e4ea8795-7ef8-4dbc-8206-b9f755b51de7.png" />

D、存在可逆矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bb7590fc-707c-4e68-8a6a-ca8d2620fd90.png" />使<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7844ccfd-965d-45c7-80de-cd14b3884180.png" />

10、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b932eafe-07d5-4c8f-b85f-a69636a380b9.png" />均为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a35c4f0f-74d8-4f33-bfb1-570232a73083.png" />阶方阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fb13326c-5cf0-4c93-9719-d03fff8091d9.png" />(<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7f8ba548-be63-499f-8b3e-16f23ddaa499.png" />为正整数)。

A、正确

B、错误

11、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_62d6ba03-5940-488c-85b9-e9d5e17b27e4.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cdcbe029-4486-499f-bc6c-3fd2749667f0.png" />方阵，若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e30b7632-9b22-4655-af63-d3c5e7d40a10.png" /> ,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3a952ad6-4c41-4dab-bcdd-85c59eb335f2.png" />。

A、正确

B、错误

12、【判断题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_82ea3629-7158-489d-a3df-6db89717f53d.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e3163850-fcb3-4401-88f2-f57925ef308a.png" />阶方阵，若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_266ae3eb-ae34-46ae-8ecb-800a4ca72204.png" />不可逆，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_db336409-d065-4af4-b012-bbc5576ae259.png" />都不可逆。

A、正确

B、错误

13、【判断题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7300f31a-e3bf-433d-a373-84f6097d2cf9.png" style="white-space: normal;" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_61c22eb5-33fb-4513-92a8-8712abc873d5.png" style="white-space: normal;" />阶方阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c378bb00-73c0-4060-9875-1366b853184b.png" style="white-space: normal;" /> , 其中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e25b16b4-0d6a-4438-878b-11b7f94d90af.png" style="white-space: normal;" /> ,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_743469e0-8aeb-4893-8721-8961d44649ee.png" style="white-space: normal;" />。

A、正确

B、错误

14、【判断题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9d103960-21be-42c9-8e61-fc82eace2567.png" />都是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_daf9a3fc-5314-42b1-b085-ddeda567b834.png" />阶矩阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5bd39789-1ce1-4dc8-980f-439f69a5cbc6.png" /> , 则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_674a0e45-ea7a-4e25-8654-6a7259a629bc.png" />。

A、正确

B、错误

15、【判断题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cd63be89-9260-4a82-ac98-b972704b95f4.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5517b03e-b1e2-46ae-8463-913e4af88d7d.png" />阶对角矩阵，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_618e5005-5a8f-4b23-b9b5-50c243a7f537.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6a625fb5-98e7-491f-9846-ce01a90f261f.png" />阶矩阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_454d557b-cb8e-44ef-81fe-681a99638213.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dd836334-7aa0-492d-8835-b59701f3a28b.png" />也是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a7f78e90-0d3b-451f-ad36-9a95fcecbccb.png" />阶对角矩阵。

A、正确

B、错误

16、【判断题】两个矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1e780462-cb60-4320-a20e-07336a63db6d.png" />与<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5400ff5d-b736-4f77-9923-4f4099a3562f.png" />,如果秩<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b9c185dc-a95e-4f38-9441-4de7d5a94f9a.png" />等于秩<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_30d07980-7ab8-4784-ae27-37e83fe9b95c.png" />,那么<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_62d6fa23-df57-429f-9f1f-444207c77df9.png" />与<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_db6e16f6-baae-4db9-929b-bd0e4a51ece0.png" />等价。

A、正确

B、错误

3.1行列式概念的随堂测验

1、【单选题】已知<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_554bc73d-d56d-48dd-870d-6f0161492a33.png" />阶方阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fe12422f-af6e-48e6-8718-3792476b6381.png" />的第三行元素分别为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_30aae3fd-e3f9-4b1f-8d9c-52fe935aafd5.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_52c31e5b-6218-4fcd-8116-16eb049cee99.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1dcd5fe7-3691-45bf-9e65-bca76974a0d4.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5f966d2e-e809-41e0-9a44-4b7a4eb99466.png" />，他们的余子式的值分别为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6457ffa6-f188-4542-ad25-e68e425c3efb.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e50fd438-427f-43c9-8a54-079251d8a1c4.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8e887f1d-c314-4ea1-8f37-931a16651b4e.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a4076b58-4e59-4364-b4b1-c778544886bc.png" />，则行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed6d61e6-cbbd-46c4-91b9-332e4190c810.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_830dc54f-4e57-4717-93e8-02a6a75bed6e.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e0191a92-e85f-4f76-a586-fa75d201294b.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b96a36c8-4fb2-4ce6-84d0-fce62a8b5acc.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_37d4da4d-e1e6-41bf-ad4a-c8c747e0a62f.png" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c514271-952a-42b1-98bb-f0727a2dd6ae.png" />=<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_490b1ce7-823a-4347-be6b-3969242c9f5f.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9cac5da2-ba34-4177-adfc-0d2584ef4759.png" />的充分必要条件是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_afc0e65d-5278-41ef-95c4-6ae41a5f2559.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1fbef15e-15d1-45a1-a7b6-e7029d3f35e8.png" />或<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_604a7555-2f8d-4254-a54e-86372f6df6b1.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1d6d04ed-d0fe-42a9-b158-d0f24768fbfe.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_745004a6-ea7f-486e-a49a-1703a2d08310.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_604a7555-2f8d-4254-a54e-86372f6df6b1.png" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_04d59a86-3e74-453d-8b3a-363e51532360.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6a745c66-ea13-4a88-8abf-1e11b926c5d5.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b3c1684f-d1ed-4423-a602-544b16267f71.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_697288a9-8cb2-474a-8ca8-b92c84d202f1.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b3c1684f-d1ed-4423-a602-544b16267f71.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9efbc162-410c-433d-bf26-135430346abc.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2f4f14b6-b8b3-46aa-a95a-01f38313bcd2.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bbf66c1f-0348-4cf3-8025-1926a9a0413b.png" />是按<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_afc0e65d-5278-41ef-95c4-6ae41a5f2559.png" />展开的

A、第2列

B、第2行

C、第1列

D、第1行

4、【单选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ca136df2-809c-4e63-8c1f-87c8d8227bbc.png" />的<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c282cd73-c4dd-4082-96bc-44690821ba45.png" />的代数余子式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7ee8f500-3bd0-4de7-a1bd-2b9043127f6a.png" />的值为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_afc0e65d-5278-41ef-95c4-6ae41a5f2559.png" />

A、3

B、-3

C、5

D、-5

5、【单选题】已知4阶方阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_88e5d352-5a7a-4e3b-a6e1-914944f40123.png" />的第二列元素分别为-1,2,3,0，它们的余子式的值分别为3,-2,1,1，则行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1d0b9971-4448-4ea0-9ec8-5010a1d0bb7a.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6a745c66-ea13-4a88-8abf-1e11b926c5d5.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_afc0e65d-5278-41ef-95c4-6ae41a5f2559.png" />

A、4

B、-4

C、2

D、-2

3.2行列式性质随堂测验

1、【单选题】设行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fd79ac53-0acd-42c1-ae0d-05e38bf2b95d.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5b3451f0-aa58-4b2c-bbac-9204dcb02c81.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_099328e8-d963-47f8-a489-48cef805db40.png" />的值为

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b3888254-5a02-401b-8521-67164cfc680a.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_95a75131-545a-4930-ac9b-dc5cbdc6a34c.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6c35854f-0198-4117-a12a-35aeb6294ee2.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cc2bdce9-f752-4601-b9d4-47ffb1745bad.png" />

2、【单选题】设<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_37dfe3dc-38b9-493e-a7a9-2a3a2db53f41.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6cc443f9-3d42-413a-99eb-3cbf26a8db34.png" /> 阶方阵，数<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_620edaab-475a-43db-a487-67376ccf1607.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e23494d4-b8f8-40e5-bd75-34a6d9471316.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dbfe003e-fdb4-4c78-8caa-dbc5b3a519e5.png" />的值<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_afc0e65d-5278-41ef-95c4-6ae41a5f2559.png" />

A、24

B、-24

C、6

D、-6

3、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6cc443f9-3d42-413a-99eb-3cbf26a8db34.png" />阶方阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_88e5d352-5a7a-4e3b-a6e1-914944f40123.png" />为反对称矩阵，下列各式成立的是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_afc0e65d-5278-41ef-95c4-6ae41a5f2559.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8104b4ce-8e92-4c1e-b2a2-406b7298f1a2.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2dcc7870-a786-4f48-88a6-2038065f8fcf.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ffcb1971-c235-4575-97d7-f7b971833404.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6fbdfd93-470c-4851-b776-320fddac0e58.png" />

4、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9b71f1fe-b77c-49f7-a837-6f7378f7c355.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3607b682-9bff-48b2-81f7-e227fb98f02a.png" />,则下列式中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_afc0e65d-5278-41ef-95c4-6ae41a5f2559.png" />是正确的。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_929a2041-555b-412e-a964-f8b0279022ce.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b6e365fb-3b7f-4471-badc-067857b2c6ba.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f4287abb-3662-46b5-87de-e70d2d6e0cba.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e99a7f6d-aa34-486c-851d-ac944e4fb4eb.png" />

3.3行列式计算的随堂练习

1、【单选题】计算行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6bd70392-c903-4830-ac5d-628752c543b5.png" />

A、96

B、-96

C、-27

D、27

2、【单选题】计算行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1cf26f24-c1b2-40da-bb13-5072e8bdec11.png" />

A、80

B、-80

C、240

D、-240

3、【单选题】计算行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ed026316-b854-439c-93eb-53ce6d018e4f.png" />, 其中<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f1b89287-a316-48e7-8129-9e355e020015.png" />

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_751a4596-4389-4ca4-b9cb-c83fabebf9a2.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_44832b60-9796-4184-9e1b-9a5f9caf003c.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e772d99f-f8d2-4818-95e8-09c699f7ccb4.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6023d950-fc43-4af6-9f06-0206ac51cf7f.png" />

4、【单选题】计算行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ba632183-d3a1-48c0-a3a3-fd567a0b9ac3.png" />

A、63

B、-63

C、179

D、189

3.4行列式应用的随堂测验

1、【单选题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f4c236dd-73ab-466a-8901-e977d2e5a108.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2de04b68-2bd2-4f1e-a9a5-6902ca726dd8.png" />阶方阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_93359c4a-b283-446f-93a0-6eaf866cc144.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_62626bff-63a1-452c-bb1c-ceb4aceb952a.png" />存在的

A、必要条件

B、充分条件

C、充要条件

D、既不充分又不必要条件

2、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a03fc6ae-04de-44bf-9d28-d0009d4e7ab3.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_738f5f05-08a2-4d44-8dc0-d1a3aa8918bc.png" />阶矩阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_efd73e95-4587-43fc-aa11-4538e929fa5a.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_01d34e2a-ba1b-4972-a895-03aa1da39c65.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a03fc6ae-04de-44bf-9d28-d0009d4e7ab3.png" />伴随矩阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a525c209-b555-459b-8f68-0bad974ff662.png" />。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ae48da95-1fc9-41bf-9094-1d36b732c98a.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7fcae60a-cd78-4637-89e8-6ccc30eb1f8d.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fdae68c4-02a3-48cd-b47b-3025e1378ce2.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e2dee9ea-090e-4768-8925-07eb92a01c3e.png" />

3、【单选题】设<img style="width: 14px; height: 19px;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a03fc6ae-04de-44bf-9d28-d0009d4e7ab3.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aaf6cee2-56ce-46ee-b15b-6cb45736b26f.png" />矩阵，若矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a03fc6ae-04de-44bf-9d28-d0009d4e7ab3.png" />的秩为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c36435c7-9936-47c0-9391-0676db0fad32.png" />，则矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e522142d-5896-4930-aa97-274e182e2f69.png" />的秩等于（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9b3c2595-24da-4767-ae86-9dd378aa95e3.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c36435c7-9936-47c0-9391-0676db0fad32.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_52fca12c-e279-4214-a0a5-bb794981b5ed.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9270ed48-ca70-4069-b2bc-ea4f46dc34bd.png" />

4、【单选题】设非齐次线性方程组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_82d8044a-d7fd-43c5-b9de-0f570bd8512a.png" />有唯一解，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_901298f7-61ed-47fb-a6b0-71b25906e5ad.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_021450a8-81b0-45d4-a97e-b3aea280fa97.png" />必须满足（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_88137390-6111-4db8-930a-6610de0953ca.png" />且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f20b0ad1-dbb1-4ef8-8f56-8d16d657e741.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2008f9da-5fa4-492c-8cb3-8209efcde7fa.png" />且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f20b0ad1-dbb1-4ef8-8f56-8d16d657e741.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_030cce30-f3dd-41a0-9782-e735aff33639.png" />且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_57fba9c8-343b-47e8-aa55-3560737dc2b2.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_88137390-6111-4db8-930a-6610de0953ca.png" />且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_57fba9c8-343b-47e8-aa55-3560737dc2b2.png" />

第三章测试

1、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_f4db9e20-2bd0-4e26-96aa-bb75763e2d2e.png" />为任意矩阵，则下列一定成立的选项是（）

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6b740cf9-93bf-476d-9786-76da8ed7a8dc.png" />

B、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0b341aff-9b8d-4e82-823e-9e041a429985.png" />为可逆阵，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9666855f-fb4c-4fa4-8453-59b96b4d6b2a.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_557a7e46-6f94-41dc-99d1-7545456466ae.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_94319d75-7508-4400-8959-19f5a4204237.png" />

2、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2fc178b-d4af-46ec-acfb-7566ac2976b5.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff8c3a97-fca0-4f25-8543-0aa62e78c66d.png" />阶满秩方阵，则下列错误的是（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_217db32b-d2da-4b8f-a969-98fc06cca4b9.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_494a9615-8a18-4a59-a324-c0ab93ed60d1.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2fc178b-d4af-46ec-acfb-7566ac2976b5.png" />可逆

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aa816c1b-9e95-44cf-8c4b-40855f1f9fbb.png" />

3、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d2a87d66-a730-487f-b0c7-054d11cdffe4.png" />都是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff8c3a97-fca0-4f25-8543-0aa62e78c66d.png" />阶矩阵，满足等式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a1d9366d-21f3-47a0-85d6-009e27a89513.png" />，则必有（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9b9a9bb2-6038-45fe-96f5-0d9fac47e7b8.png" />或<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_119af945-189b-4793-9101-484fdc10e6d2.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cc2d66e9-a8c3-4b41-9230-3eece9aa805b.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_217db32b-d2da-4b8f-a969-98fc06cca4b9.png" />或<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bde18fd1-2831-4917-ae49-2a5782778e54.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_502e414b-e885-4a28-97b7-177c668bb4ee.png" />

4、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2fc178b-d4af-46ec-acfb-7566ac2976b5.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff8c3a97-fca0-4f25-8543-0aa62e78c66d.png" />阶方阵，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_40186b0f-e45b-4455-b65a-a0e6b43f7d04.png" />是实数，下列各式中成立的是（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2a264355-90ce-4922-9b66-e31276e361df.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c37aad72-2688-495a-97eb-627284052a92.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e1b4862a-9fa4-408b-954d-30ad1abfb48c.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_033b52e0-81e2-4333-a5d6-ba6690511e1f.png" />

5、【单选题】已知行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_776b6a22-c19c-40ee-9188-fdf1d228f86d.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4618f860-f19a-4d75-863e-0d841e37cbc1.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_b3bedb49-fa99-4e5b-ad56-89103f739f39.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4a3cbca2-54f6-4dfe-a64d-70d87b90f938.png" />，则行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2d60ec6-cd35-46cf-a90f-2c21baa2ea40.png" />等于（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dc317121-3c00-44dd-b03d-44b5e31b59e9.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_daa91c27-32cd-434e-bfed-43b377206b4c.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_67ccbcf3-295e-4b72-a97c-69f55177ca86.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_17934814-fd75-4bb5-8e1f-86aef817a2dd.png" />

6、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d2a87d66-a730-487f-b0c7-054d11cdffe4.png" />都是方阵，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5c146c21-645e-45cb-8ada-71a1018936dd.png" />则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_896a2a83-ab9a-4a94-8651-ad5fbfef5f58.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_dcad176a-b259-4d1a-afd3-a3da465fb78b.png" />___。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_307493af-1593-47b8-b09f-2f46770c0c20.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d98b578b-7610-492a-95f2-e5b7ef982fa3.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d70ae118-372e-4150-a7e3-7e4f0626675d.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_23cc7f76-b518-43d3-bfc1-f5252165f399.png" />

7、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2fc178b-d4af-46ec-acfb-7566ac2976b5.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff8c3a97-fca0-4f25-8543-0aa62e78c66d.png" />阶可逆矩阵，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0763a622-6462-48aa-9f7a-f48082c53880.png" />是其伴随矩阵，则（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9a4890c8-bca3-49a8-927a-a16dd4b1508e.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cc77e54c-efb9-4a08-a491-a6878bf4d25c.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ad31e221-9476-4be1-b942-f763016bd774.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c7b5ef27-383b-42a1-8741-9233612202a0.png" />

8、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2fc178b-d4af-46ec-acfb-7566ac2976b5.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2f525db9-8a4c-41cf-bd0a-9a7a0035ca4a.png" />阶矩阵，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0763a622-6462-48aa-9f7a-f48082c53880.png" />是<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2fc178b-d4af-46ec-acfb-7566ac2976b5.png" />的伴随矩阵，则（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_78234117-828b-4407-9da6-f25b22b24ace.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_06169097-0a31-427f-b2bd-6aedfd379a8b.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_98d25a8d-450a-472a-bd9a-7b760d0eeb98.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fb30c6dd-c66f-40ce-b3cd-7321f235c70f.png" />

9、【单选题】设<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff8c3a97-fca0-4f25-8543-0aa62e78c66d.png" />阶方阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2fc178b-d4af-46ec-acfb-7566ac2976b5.png" />经初等变换后所得方阵记为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_56e56162-1493-48b0-bc9d-26da3eade7c6.png" />,则（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_279793da-2463-4116-89a8-49ab84b42d67.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c8efee11-56d8-4638-b71c-7d415c62fde1.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d881db6c-4ffe-431e-9c5b-011b0e1fbd79.png" />

D、若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7c9e9308-b637-40c6-a568-911e89c32114.png" />,则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_219c288e-a270-4e53-a9e4-cfc5641660e1.png" />

10、【单选题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff8c3a97-fca0-4f25-8543-0aa62e78c66d.png" />阶矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a2fc178b-d4af-46ec-acfb-7566ac2976b5.png" />互换第<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_379cf0e9-a061-46f2-a39f-f4bbabf1cb69.png" />行后得矩阵<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_56e56162-1493-48b0-bc9d-26da3eade7c6.png" />，则必有（）。

A、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cc2d66e9-a8c3-4b41-9230-3eece9aa805b.png" />

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a1d9366d-21f3-47a0-85d6-009e27a89513.png" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7c430f51-f1fd-451e-84f9-4cfffd653a04.png" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_91b596b5-51bb-4325-8072-fd58558b717f.png" />

11、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff8c3a97-fca0-4f25-8543-0aa62e78c66d.png" />阶行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_62469035-8974-44f0-a696-98f84e8c98b7.png" />中元素<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e6872056-e9a7-48d3-a2d2-87e6c695f2cf.png" />代数余子式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_cbb5e2c3-55ce-4c99-a258-7721a203a8a8.png" />为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_db4c1955-8407-46b7-9a8a-0b53a0f5ded0.png" />阶行列式

A、正确

B、错误

12、【判断题】若<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_945f0676-b0f5-4a6e-8456-bbddc4b276be.png" />均为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ff8c3a97-fca0-4f25-8543-0aa62e78c66d.png" />阶矩阵，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_6f5a7ae0-e13d-4a7b-8741-0983be091237.png" />,且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_42b5740b-bd37-459f-8bee-fcba58fa9bc4.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_1bb8ed9b-9e8a-436a-b661-a2ac00cfcc6d.png" />

A、正确

B、错误

13、【判断题】若线性方程组的个数与未知数的个数相等，且系数行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e9b96923-a172-4b7f-8058-7333f02659f5.png" />，则方程组一定有零解。

A、正确

B、错误

14、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_4883339e-96dd-48a7-80b0-3050d8fbc0be.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5586d2a4-2451-4e50-97ca-0e90fec6ab17.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_7652a54d-ed00-4a05-8213-ed745d8270a5.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_661cfeb4-70ef-4e78-915f-633a4daa4d8c.png" />

A、正确

B、错误

15、【判断题】<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_3d179359-28f1-41c5-a74b-50f5ec38f848.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_132137d0-7f64-474c-8b47-3a5b11ca983d.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0b69d61e-1681-4645-8e61-6fbd071dc9b7.png" />

A、正确

B、错误

16、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_555de17e-2d77-47e0-8b46-fe3438b5b16f.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5586d2a4-2451-4e50-97ca-0e90fec6ab17.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e5fdd5e6-c4f0-444d-824f-e8e577faef76.png" />

A、正确

B、错误

17、【判断题】<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ca4557f6-4c62-4e7e-8a3d-e0e78f5f65b6.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_132137d0-7f64-474c-8b47-3a5b11ca983d.png" /><img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ec37c394-d00e-457e-8a8e-8ef83935b01a.png" />

A、正确

B、错误

18、【填空题】三阶矩阵A的第二行元素依次为1, 2, 3, 对应的代数余子式依次分别为 1， 2， 3，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2168b930-c921-4a7b-bdfe-61e620f94fd6.png" />

A、

19、【填空题】设 A为n阶可逆矩阵，则方程<img style="white-space: normal;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2fac70f9-832f-4e7c-bbb6-5176b55d557d.png" />有非零解的充分必要条件是<img style="white-space: normal;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_379f6986-d7a2-45bc-91a7-18fa813cad24.png" />

A、

20、【填空题】设<img style="vertical-align: top; border: 0px; max-height: 520px; max-width: 520px; font-family: Arial, Hiragino Sans GB, Microsoft YaHei, 微软雅黑, Helvetica, sans-serif; background-color: rgb(234, 234, 234); white-space: normal;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_34aa3060-2e3a-4ab4-81a8-da78ec27d0ac.png" />为3阶方阵，且<img style="vertical-align: top; border: 0px; max-height: 520px; max-width: 520px; font-family: Arial, Hiragino Sans GB, Microsoft YaHei, 微软雅黑, Helvetica, sans-serif; background-color: rgb(234, 234, 234); white-space: normal;" src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fb1002b1-86d8-4a98-9955-7ec4480cca97.png" />，则 <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_529b5c92-755e-4bcd-883a-f3ecb27ced8c.png" />

A、