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单选题 若向量组
的秩为
,则( )
A. 必有
B. 向量组中任意小于个向量的部分组线性无关
C. 向量组中任意个向量线性无关
D. 向量组中任意
个向量必线性相关
学科：线性代数
时间：2024-09-13 12:46:04
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题目1单选题
若向量组<img src="https://tihai-oss-cloud.itihey.com/img/aaac8e130563f7bdbc07736025266523.png">满足<img src="https://tihai-oss-cloud.itihey.com/img/9f510993638f60a351895e8f0efd7199.png">,则向量组<img src="https://tihai-oss-cloud.itihey.com/img/8094a5d4b1181e089ce148adac810100.png">的极大线性无关组中有( )个向量.( )A. <img src="https://tihai-oss-cloud.itihey.com/img/3976cccc520a3071d27c821c613bb6ea.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/2c8fd8a85190c4bc735d9f87b90d00ad.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/769a61fafd2490b8abb87777ff405549.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/feb20ffea9b80157933fd64275b0621a.png">
题目2单选题
若向量组<img src="https://tihai-oss-cloud.itihey.com/img/bdc54386fea0158202b194c0e5cefeb0.png">,则( )是向量组<img src="https://tihai-oss-cloud.itihey.com/img/daa1aa40e3a0e0d1783bbc313822bb87.png">的极大线性无关组.( )A. <img src="https://tihai-oss-cloud.itihey.com/img/54d96d8c8a781d9b400fea296474be89.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/796a4f7a1bc98a0fc4729ac2caa2277c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/9d733260b5460087fa809bfac2d80804.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/72850fc8f96e2250bf8081fb21ef3730.png">
题目3单选题
向量组<img src="https://tihai-oss-cloud.itihey.com/img/9ca9123990bf0c73c4a7508c4d944c6e.png">的秩是( )A. 1B. 2C. 3D. 4
题目4单选题
向量组<img src="https://tihai-oss-cloud.itihey.com/img/9a21429e25089eb4a21d8efcc8aa9d8c.png">的秩为2,则<img src="https://tihai-oss-cloud.itihey.com/img/d367da4aef5585366af8960fb5bdf49b.png">( )A. 4B. 3C. 2D. 1
题目5单选题
若向量组<img src="https://tihai-oss-cloud.itihey.com/img/aaac8e130563f7bdbc07736025266523.png">的秩为<img src="https://tihai-oss-cloud.itihey.com/img/3976cccc520a3071d27c821c613bb6ea.png">,则( )A. 必有<img src="https://tihai-oss-cloud.itihey.com/img/76b9adeabf22c6cc64a471ff2e066cd2.png">B. 向量组中任意小于<img src="https://tihai-oss-cloud.itihey.com/img/3976cccc520a3071d27c821c613bb6ea.png">个向量的部分组线性无关C. 向量组中任意<img src="https://tihai-oss-cloud.itihey.com/img/3976cccc520a3071d27c821c613bb6ea.png">个向量线性无关D. 向量组中任意<img src="https://tihai-oss-cloud.itihey.com/img/051d946bf4841d730891ec028feaf664.png">个向量必线性相关
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