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单选题 下列关于矩阵的秩说法正确的是( )
C. 一般地,
矩阵
的
阶子式共有
个
D. 矩阵的秩与其转置矩阵
的秩相同
学科：默认课程
时间：2025-11-07 13:22:33
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题目1单选题
矩阵<img src="https://tihai-oss-cloud.itihey.com/img/970c955c7c69c27056552e73b8ff62d0.png">的秩<img src="https://tihai-oss-cloud.itihey.com/img/cfa4ebbbf316073e1d8cde72087bd7eb.png">( )A. 1B. 0C. 2D. 3
题目2单选题
当<img src="https://tihai-oss-cloud.itihey.com/img/e455a348c2752c18c335234663254c2e.png">( )时,<img src="https://tihai-oss-cloud.itihey.com/img/4143f341b6e1b48ebee8d96da39ee6a2.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/dcc4d571d6bdf946da6cc0e2977e7e46.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f6b6d0eda41e6d3c04c441692b1b0070.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/174090b3ad243d6b4564660083cd1c40.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/96f531b47a46b17f27d2bf664693f2ba.png">
题目3单选题
下列运算正确的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/acb12c64aeb136f60512fa3ed8fa73c5.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a63cc7bb09d0aca6e6f07d1ed1c75be7.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/fca34d3e71c538c360a4036159f8a01c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/cd2d81aa4fb246a3f211f8423b64734a.png">
题目4单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/761bb4d7df77c707b6024812b4bf261a.png">为三阶矩阵,则<img src="https://tihai-oss-cloud.itihey.com/img/e4e38df26cfec0c5f6610e2055f7be9c.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/fa1f2ab1b28cb1aa90bd5faa8fdb20f2.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/3d5e123f130caf8778d54a6970c37f2f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/2435b239ea3533a70077fd2a7b2fb507.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f3346828bc0485a479f0b3bd55841d45.png">
题目5单选题
设有矩阵<img src="https://tihai-oss-cloud.itihey.com/img/836fe8ad85b3a78db6740fab1f1d4430.png">则下列运算可运行的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/9a27b91e766cf5376ad004ad96a322d7.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/df2224403ee4bbde527cfa59ea0d890f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/ebe95fd79311d03d81a503d28178431e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/c7c68948f86e377690bf855c7c30c241.png">
题目6单选题
设有矩阵<img src="https://tihai-oss-cloud.itihey.com/img/baaa42b5a9b40e24a17bed52b4194bd7.png">,则下列运算可进行的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/be1be48079a6e37eba290e2862107041.png">B. ABC. BAD. <img src="https://tihai-oss-cloud.itihey.com/img/f0696cc25574f6687d049e17e0a2d28c.png">
题目7单选题
矩阵<img src="https://tihai-oss-cloud.itihey.com/img/ca4cfce5476c6bff8c6022692c61eb6b.png">的秩<img src="https://tihai-oss-cloud.itihey.com/img/cfa4ebbbf316073e1d8cde72087bd7eb.png">( )A. 1B. 0C. 2D. 3
题目8单选题
有矩阵<img src="https://tihai-oss-cloud.itihey.com/img/851eefeaa10afb6964568029424f0da1.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/36901117d86cdbbd8b0756771835e0fc.png">的结果矩阵<img src="https://tihai-oss-cloud.itihey.com/img/1bdb2e95e5cddfeb1d831194b29cc65d.png">为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/95826b83f5efa9ab743b739dbd0e4449.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/e6e77fe041873281ae6072e7892cc12a.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a9fa7af466f99cd71497657308455d6c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/c6782b7834f237f573eaecbb12d85b51.png">
题目9单选题
下列关于矩阵的秩说法正确的是( )A. 零矩阵没有非零子式,规定零矩阵的秩为0B. 以上均正确C. 一般地,<img src="https://tihai-oss-cloud.itihey.com/img/0898f5054c2e46ea956115002ff04ef6.png">矩阵<img src="https://tihai-oss-cloud.itihey.com/img/761bb4d7df77c707b6024812b4bf261a.png">的<img src="https://tihai-oss-cloud.itihey.com/img/eb814780af2f12ac64c36a7d27db6cb4.png">阶子式共有<img src="https://tihai-oss-cloud.itihey.com/img/36c7a03ab2d445f26869708b0d21928e.png">个D. 矩阵<img src="https://tihai-oss-cloud.itihey.com/img/761bb4d7df77c707b6024812b4bf261a.png">的秩与其转置矩阵<img src="https://tihai-oss-cloud.itihey.com/img/d257984296db0485a71b33b2266214e5.png"> 的秩相同
题目10单选题
<img src="https://tihai-oss-cloud.itihey.com/img/761bb4d7df77c707b6024812b4bf261a.png">为<img src="https://tihai-oss-cloud.itihey.com/img/fcec676537dd39a35555be123ac2d18a.png">阶可逆矩阵,下列( )恒成立A. <img src="https://tihai-oss-cloud.itihey.com/img/be3e9727f661c4f5c58d5b88ce1a3585.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/913d7b8c9fea8afd783bd9dbfb38257f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/c2f02d643f026a86b6dea603eae7bb1e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f45487faa958acda79f631c77c39ed4f.png">
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