当矩阵的秩时,非齐次线性方程组一定有解.http://image.zhihuishu.com/zhs/onlineexam/ueditor/201901/ceff3cba1c1b4ae1be9bd62ac802948d.png
举一反三
- 设是秩为的矩阵,且,则非齐次线性方程组( ).http://image.zhihuishu.com/zhs/onlineexam/ueditor/201802/5134ea2c25cc42a9addee7e9f36ac8ed.png
- 设 元齐次线性方程组系数矩阵的秩 则( ).http://image.zhihuishu.com/zhs/onlineexam/ueditor/201812/0d5865d821ce427e83c546818e31986d.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;
- 【单选题】4元非齐次线性方程组 有解,且系数矩阵的秩为3,则非齐次线性方程组 的解集 的秩为【 】 A. 1 B. 2 C. 3 D. 4
- 如图,等直径管,考虑损失,A-A断面为过流断面,B-B断面为水平面,试确定1、2、3、4各点的物理量有以下关系( )。<img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201901/221f6e4fdefe4fc8a4dccb77b349aa72.jpg" /> A: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201901/ace37017ba8545728a2182f386058ba6.png" /> B: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201901/70b91bd905944a2b94af05cde3e27218.png" /> C: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201901/2000acab49234b1b95b2c3ecc59dfd3c.png" /> D: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201901/3d47348e1e6f46a99ed44f691c648298.png" />