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单选题 设n阶矩阵满足ABC=E,则有( )
学科：应用数学（1）（2023秋）
时间：2023-12-25 07:59:08
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题目1单选题
已知<img src="https://tihai-oss-cloud.itihey.com/img/ef94341f55429987a390adb02270ca31.webp">,则<img src="https://tihai-oss-cloud.itihey.com/img/6bdbe82f006474fbe9cb5fbc5cb111f8.webp">在<img src="https://tihai-oss-cloud.itihey.com/img/e02c9b4c74d4d59191c0dd71f98299d8.webp">上投影向量模为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/76ca86e46655fde1e0496b2d1eb6a39a.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/cd59f413bf46f732eef48ec6725109b4.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/250691790aaf430e65c4e9849fa73896.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/e2c492b891085a9353cdb078846a9a64.webp">
题目2单选题
给出下列命题:①零向量的长度为零,方向是任意的;②如a,b都是单位向量,则a=b;③向量AB与BA相等.则所有正确命题是( )A. ①B. ③C. ①③D. ①②
题目3单选题
设n阶矩阵满足ABC=E,则有( )A. ACB=EB. CBA=EC. BAC=ED. BCA=E
题目4单选题
向量<img src="https://tihai-oss-cloud.itihey.com/img/492840a8f1c7274781256697ed31be3f.png">(左)乘向量<img src="https://tihai-oss-cloud.itihey.com/img/5792142848039819d9c7654aa2ebd10b.png">的法则是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/6344d8a8ebfd9fdf26394e252c83eb12.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bdb4bbda2af4a735e107287e749fab79.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0bfcae7149bf62293093b3f1e29e6c09.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/0c39a3c0c3fb593c6729c9139a2bd580.webp">
题目5单选题
设A,B是n阶方阵,下列各式正确的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/588003912eba35b2ee4365d2a8ba6dc0.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f9feff34f80bbb6464d08be84b332428.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a22b92d158ed004cc9e9f02df87ee1d5.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/112d5f0148bbf64cd57c89eac496652a.webp">
题目6单选题
将△ABC先向右平移5个单位,再向下平移三个单位后得到△A'B'C',已知A'(-2,3),B'(-4,-1),则A,B两点的坐标分别为( )A. (3,6)(1,2)B. (-7,6)(-9,2)C. (m-2,m-4)(n-4,n-5)D. 以上都不对
题目7单选题
将坐标处理成列向量的形式,则绕原点逆时针旋转θ,则旋转矩阵<img src="https://tihai-oss-cloud.itihey.com/img/b2ce33353ba0819bf9b022a6d80d40a8.png">中的b为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/dcba1058fb7455692779d4aaafff95d6.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/6cb5b9179a452fd16759bb88e1956e92.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/cbe4d5e38980de6fd2e62880684fb431.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/b88ce07af82a23871f6a449ab9a7b049.webp">
题目8单选题
将坐标处理成列向量的形式,则关于直线<img src="https://tihai-oss-cloud.itihey.com/img/6a6137f6339a133cb577a7e2e1d3bfab.webp">对称变换矩阵为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/b9ceb965d05c8bab8d056a3b4d091ac4.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/2c72ed13fda61ac53300ac875cba45c1.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/87119ba3f920d8941badfe5b5911281e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/55df73e233968ae5bbb818f319c14356.png">
题目9单选题
用矩阵与向量的乘法的形式表示方程组<img src="https://tihai-oss-cloud.itihey.com/img/0c5d1b3dedf407ac4b34c01ee182141d.png">,其中正确的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/f3fe82201da47b1f2f629b778f65961f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/50a1a4d5af415eb4c83cc0e1b44d3a0f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/bc7824e96fdf2df659636e083945d955.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b59c91b97f6d1c86efc262baae6f0462.png">
题目10单选题
当( )时,齐次线性方程组<img src="https://tihai-oss-cloud.itihey.com/img/ad80ccaee701c69b34874d2749a325e6.webp">一定有非零解A. <img src="https://tihai-oss-cloud.itihey.com/img/8e536a23669515d788fdf1b2bba4f46b.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/074892d016a20425b0d9b1cbaad92ba9.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/0c5f91b20bc3dabd711ad766befae0fc.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/9b7205243d23f47952ff38c47bcfc7a6.webp">
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