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单选题 如果A是反对称矩阵,则矩阵A2是( )

A. 对称的

B. 反对称的

C. 正交的

D. 可逆的

23-24秋季学期线性代数课程封面

学科：23-24秋季学期线性代数

时间：2023-11-05 13:07:34

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题目1
单选题
设A是方阵,如有矩阵关系式AB=AC,则必有( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/7f259c5349e8a7d9940394efd7222d3e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/4cef6b3d11260a9ce5da8999548d318b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/aa8b1c0ef89e267d88bd2f0478f8b137.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/bdfa07a212bbf0f9f6e2ca2a0a6173bd.png">
题目2
单选题
设A,B均为n阶方阵,k<img src="https://tihai-oss-cloud.itihey.com/img/6c6791586de6190e25bd7e9409b61af4.webp">0且k<img src="https://tihai-oss-cloud.itihey.com/img/3fa69b5ed2e15416e4e45b125cfc90d9.webp">1,则下列等式正确的是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/fcdd3d4cdda2deeade75c454c700c90b.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/0ee4dcbbc2a44f079800e10f9ed1ead9.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/5f772acbe16b8d8b06514bb99920dba2.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/891ee618283bed79bd8ff968ba83b8a8.png">
题目3
单选题
如果A是反对称矩阵,则矩阵A2是( )
A. 对称的B. 反对称的C. 正交的D. 可逆的
题目4
单选题
<img src="https://tihai-oss-cloud.itihey.com/img/75c7b1516e8e8856be58974c1a50a9b7.png">
A. 1B. 7C. 10D. 8
题目5
单选题
<img src="https://tihai-oss-cloud.itihey.com/img/3deb04483b0126eefac79da36e5f34e4.png">
A. <img src="https://tihai-oss-cloud.itihey.com/img/d6f001c1945703af34a15c03144fa4e0.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/c849deaeb41fe3c383d0c0d8f79fb9b4.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d1dbb2d25728949c7a25489998c1c99c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b4c3692b4ec355653feeca8540cd8b64.png">
题目6
单选题
<img src="https://tihai-oss-cloud.itihey.com/img/a8f1cb73a0406c7b3f7e01d920eed7cb.png">
A. <img src="https://tihai-oss-cloud.itihey.com/img/bffcfe137f78f29c2164a03b69411613.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/fb79b5233be4b88a2d9f624ee82ffedc.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d0313e46fe6c61c6fc48c80053b8bcec.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/5b3b9d1a315e2b1ae7c7e1d4ed8efce2.png">
题目7
单选题
设A为3<img src="https://tihai-oss-cloud.itihey.com/img/779fbb7000a5a78a8c32af8afc718d18.webp">2矩阵,B为2<img src="https://tihai-oss-cloud.itihey.com/img/3cd617bf3ef0736a0f4e766831e60a69.webp">3矩阵,C为3<img src="https://tihai-oss-cloud.itihey.com/img/3cd617bf3ef0736a0f4e766831e60a69.webp">3矩阵,则下列 运算有意义
A. ACB. BCC. A+BD. AB-BC
题目8
单选题
设A,B,C均为n阶矩阵,下列结论中,正确的是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/3a3f194bcbb138e0d33cf24064f31149.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/e29982ba83e7c3b7028d3a834a18cc83.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/ecc6fce1868e5d2dbffd8f7d3957fbd4.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/d01bac564723094eee1e6bf40813339f.png">
题目9
单选题
<img src="https://tihai-oss-cloud.itihey.com/img/c251348e1e045a2b0de5b61abf2df8a0.png">
A. <img src="https://tihai-oss-cloud.itihey.com/img/fcdd3d4cdda2deeade75c454c700c90b.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/0ee4dcbbc2a44f079800e10f9ed1ead9.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/5f772acbe16b8d8b06514bb99920dba2.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/891ee618283bed79bd8ff968ba83b8a8.png">
题目10
单选题
实验流行病学研究不包括( )
A. 临床试验B. 干预试验C. 人群现场试验D. 病例对照研究E. 防制实验研究
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