题海让大学四年没有难题
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单选题 设为四阶矩阵,且,则( )

A. 4

B. 16

C. 32

D. 64

线性代数与空间解析几何课程封面

学科：线性代数与空间解析几何

时间：2023-10-17 04:31:47

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题目1
单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/c43a076a5d0cddbe930573029e0ab04b.png">为3阶方阵,且<img src="https://tihai-oss-cloud.itihey.com/img/7c614255a5ec9eaa1728fffae8ef3ea1.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/9be240d698e375daba26f56ee7a70f79.png">( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/5a58c58973e9c6fa8eccb7f09bb8c261.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/3847a924d870aba915d79d696a154906.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/e010c2d6a32d697d8dc7587dcc1558d9.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/854ac22a2794f24deeb5093367f6cc0d.png">
题目2
单选题
<img src="https://tihai-oss-cloud.itihey.com/img/83bb41ae89a8d6ef899340ce14db64f7.png">( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/e62a71edb033536314b8259fc2aba553.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/5171a1da98a7ad2bea58eaa8f1d1896a.png">C. 13D. 9
题目3
单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/0b0bcdaa18b13395c2769af11a1436b9.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/eab78204213efbef833ef3be4d41b2a6.png">( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/40a7961443cb7640cd4a8bc0ce2b60fc.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/6dd8e1d1e5b7591fc53aa6dab6f41239.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/82dff781e1a45dd73cea964778990f23.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/ff674cb3787016f39f68fc77d69c7ef1.png">
题目4
单选题
若<img src="https://tihai-oss-cloud.itihey.com/img/1d3f44b80dd32513a255a2b6b0a1ff9c.png">,<img src="https://tihai-oss-cloud.itihey.com/img/1315b08f149072a207227832452aba3d.png">,设<img src="https://tihai-oss-cloud.itihey.com/img/36f3a01e681f151cfda50e66b678a363.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/82385eee1956bb5da168b0f47657be84.png">( ),其中<img src="https://tihai-oss-cloud.itihey.com/img/1dac517aff62a020fcb3bbd85e78ab3f.png">为正整数
A. <img src="https://tihai-oss-cloud.itihey.com/img/61fc9887f55832c1e8db8d7a53848b58.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/ca22e6aceda0e8a0a970ea4a70f93ec2.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/bbb692797aadeb56b4d1ae6dc90514a1.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/255cc08c2a81da57db82e99ab0500048.png">
题目5
单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/4affb1679a6feff82e16c711297e4575.png">且<img src="https://tihai-oss-cloud.itihey.com/img/62adfba4fdd1952f42b48fc782ae1832.png">则<img src="https://tihai-oss-cloud.itihey.com/img/eab78204213efbef833ef3be4d41b2a6.png"> ( )
A. 2B. 0C. <img src="https://tihai-oss-cloud.itihey.com/img/4596b25bd5880a9eaa527585c01c1782.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/42d9a78c080c5549c7321aec3c743691.png">
题目6
单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/58e0b5de8e3f760bd5e42a39194a7aaf.png">为<img src="https://tihai-oss-cloud.itihey.com/img/1dac517aff62a020fcb3bbd85e78ab3f.png">阶对称矩阵,则下列结论不正确的是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/e47717aa80ee8684a5a4b6512bfef2c4.png">为对称矩阵B. 设<img src="https://tihai-oss-cloud.itihey.com/img/58e0b5de8e3f760bd5e42a39194a7aaf.png">可逆,则<img src="https://tihai-oss-cloud.itihey.com/img/77ea1bcd62a0d8254476641eb65c3f88.png">为对称矩阵C. <img src="https://tihai-oss-cloud.itihey.com/img/78d2adccb0cc59009a740aa7aefaca60.png">为对称矩阵D. <img src="https://tihai-oss-cloud.itihey.com/img/47da311d7809573bd56bea2080bbae15.png">为对称矩阵
题目7
单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/1dac517aff62a020fcb3bbd85e78ab3f.png">维行向量<img src="https://tihai-oss-cloud.itihey.com/img/5efadc83457b9b5b0e2fdb2009de267a.png">,<img src="https://tihai-oss-cloud.itihey.com/img/85b1010612d3510a734adb47fca1e62a.png">,<img src="https://tihai-oss-cloud.itihey.com/img/0da6dfe2300da6f86c6c85930ef4441c.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/e47717aa80ee8684a5a4b6512bfef2c4.png">为( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/7efd1d6b2b166f63019d8fb18cf73d4f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/db5a766a1ec409a9ccf82e6a778e4565.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/6f1d45d4934ca8ab3cb9becd88941357.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/9b167a9a6bda03380bcbde2cf388a1ed.png">
题目8
单选题
设矩阵<img src="https://tihai-oss-cloud.itihey.com/img/ee3129ca31789b4f056a68a14b3ecf45.png">,<img src="https://tihai-oss-cloud.itihey.com/img/6f1d45d4934ca8ab3cb9becd88941357.png">为2阶单位矩阵,矩阵<img src="https://tihai-oss-cloud.itihey.com/img/305602661bee7d0d39616e2fcd630c38.png">满足<img src="https://tihai-oss-cloud.itihey.com/img/6c7816d25c77d6238f6e42d3b170d55f.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/01c20c842e6d0b06a7fb089c5dffd194.png">( )
A. -1B. 1C. -2D. 2
题目9
单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/c43a076a5d0cddbe930573029e0ab04b.png">为四阶矩阵,且<img src="https://tihai-oss-cloud.itihey.com/img/52204ab8ad0e0b2ed7b530bc9b33104b.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/bce445838d41a4a55a00e6065355e954.png">( )
A. 4B. 16C. 32D. 64
题目10
单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/28f95fa46fefd03a9335ffab15abdfff.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/611a522b882a6b1a71f5a6a1bb476293.png">( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/25a64e5c58a5167fdac2b055ee31a1ed.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/4cf590b51ed17efbb8d855910d8df814.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/b87314df71ef399dea49984c6454678a.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/a826e7f114369ee90299df62851bf6be.png">
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