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单选题 向量组B能由向量组A线性表示的充分必要条件是( )
学科：默认课程
时间：2025-11-13 01:57:53
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题目1单选题
关于向量说法错误的是( )A. 向量的维数由分量个数决定B. 列向量可以看作特殊的矩阵C. 向量的运算可以按照矩阵的运算进行D. 元素相同的列向量和行向量是一样的
题目2单选题
关于向量组说法正确的是( )A. 必须是同维数的行向量或者列向量组成B. 向量组与矩阵一一对应C. 矩阵按列分块得到行向量组D. 矩阵按行分块得到列向量组
题目3单选题
向量组B能由向量组A线性表示的充分必要条件是( )A. R(A)=R(B)B. R(A)=R(A,B)C. R(B)=R(A,B)D. 向量组A与向量组B等价
题目4单选题
向量 <img src="https://tihai-oss-cloud.itihey.com/img/144f892c73801d7dd672ff2efe1c7d3c.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/665772b2ea2ad6cca5b0b360232c0158.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/65c239b1b0d39583e8191ae315dcab5a.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/7d740318c6071c26fd3d291e66b76118.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a9d3801ebf0944c2b96f8ab646178cf1.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/25de6d8d2d9a2ebb0f9f47f4b22cf683.png">
题目5单选题
若 <img src="https://tihai-oss-cloud.itihey.com/img/24903d1d3e3f3d289d2ad6be7aeb07ff.png">,则 <img src="https://tihai-oss-cloud.itihey.com/img/8f177788654405ce733dd53b5df8b932.png">不能由下列哪组向量线性表示( )A. <img src="https://tihai-oss-cloud.itihey.com/img/3da28cbd963b3d6796be64c08ad8fb7f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/916260f93ccfed296ccd530e0c80930d.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a94a011640c4f2f54baf0139495c8c31.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/52eff7efdefca23353fa131aeeff65e5.png">
题目6单选题
设 <img src="https://tihai-oss-cloud.itihey.com/img/da1d66f981ac9b17fbc0a4a71cb0fdce.png">则 <img src="https://tihai-oss-cloud.itihey.com/img/fbdc64ede8e0200cc57d65151a675a53.png">( )A. -1B. 0C. 1D. 2
题目7单选题
设 <img src="https://tihai-oss-cloud.itihey.com/img/56c06fa66f050135525a800fdba87d35.png">是向量组 <img src="https://tihai-oss-cloud.itihey.com/img/ca7618089edfb7de7921f060c742a9eb.png">, <img src="https://tihai-oss-cloud.itihey.com/img/4c62d991f220356c94ad08790c5ca033.png">的线性组合,则 <img src="https://tihai-oss-cloud.itihey.com/img/56c06fa66f050135525a800fdba87d35.png">=( )A. <img src="https://tihai-oss-cloud.itihey.com/img/cd74ec8040d5a298b3c345e596fe137e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/71dad19d892a2df3b2b6e61bdc14f293.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/6b0836b89989bd6b069b51cea14a57a9.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/a528c21a32d9207f4139d9258283529c.png">
题目8单选题
设向量组 <img src="https://tihai-oss-cloud.itihey.com/img/2b6116b9c8d4ec830891b1a0f37bc298.png">,则( )A. <img src="https://tihai-oss-cloud.itihey.com/img/56c06fa66f050135525a800fdba87d35.png">不能由 <img src="https://tihai-oss-cloud.itihey.com/img/5b16d3ddbe20f586e508567069ea63c4.png">线性表示B. <img src="https://tihai-oss-cloud.itihey.com/img/56c06fa66f050135525a800fdba87d35.png">可由 <img src="https://tihai-oss-cloud.itihey.com/img/5b16d3ddbe20f586e508567069ea63c4.png">线性表示,但表示法不唯一C. <img src="https://tihai-oss-cloud.itihey.com/img/56c06fa66f050135525a800fdba87d35.png">可由 <img src="https://tihai-oss-cloud.itihey.com/img/5b16d3ddbe20f586e508567069ea63c4.png">线性表示,且表示法唯一D. <img src="https://tihai-oss-cloud.itihey.com/img/423d4386e47ae2864bcb8f1055aff3e4.png">
题目9判断题
向量组中的任意一个向量都可由这个向量组本身线性表出. ( )A. 正确B. 错误
题目10判断题
零向量可由任意向量组线性表出. ( )A. 正确B. 错误
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