设A为矩阵，且A的列向量组线性无关，则方程组AX=b（ ）.http://image.zhihuishu.com/zhs/onlineexam/ueditor/201804/7ba0446196e5407abed2323678c8f65f.png
举一反三
- 设A为矩阵，且A的行向量组的秩为3，则方程组AX=b（ ）.http://image.zhihuishu.com/zhs/onlineexam/ueditor/201804/bd3d4159077049b3893b52f2e7d10ec9.png
- 下述结论不正确的是( ). A: 秩为4的<img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201812/9edaba19d446425d97f6229ad4bb4b5e.png"/>矩阵的行向量组线性无关； B: 秩为4的<img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201812/9edaba19d446425d97f6229ad4bb4b5e.png"/>矩阵中存在4个线性无关的列向量； C: 秩为4的<img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201812/9edaba19d446425d97f6229ad4bb4b5e.png"/>矩阵的列向量组线性相关. D: 秩为4的<img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201812/9edaba19d446425d97f6229ad4bb4b5e.png"/>矩阵的任意4个列向量必线性无关；
- 要使<img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201804/c4b80714c3b14a559ae5bdcd09ef1fc6.png"/>是线性方程组AX=0的基础解系，则只要系数矩阵A=（ ）. A: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201804/fb16cbefa5a746599e585bcf30dce878.png"/> B: ［2 1 1］ C: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201804/df5d7a834bd44f44a519eaffffd47d39.png"/> D: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201804/5adacc7663b444d69f148ab2e7a11cf1.png"/>
- 向量组线性相关，且秩为S，则（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201906/d5becc625b224a0a87b8d4eeeffb93fc.jpg
- 向量组线性相关，且秩为S，则（ ）http://image.zhihuishu.com/zhs/onlineexam/ueditor/201906/d5becc625b224a0a87b8d4eeeffb93fc.jpg