| 行(列)满秩阵的几点性质 |
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| 引用本文： | 徐秋丽.行(列)满秩阵的几点性质[J].长春师范学院学报,2005(7). |
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| 作者姓名： | 徐秋丽 |
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| 作者单位： | 廊坊师范学院数学系 河北廊坊06500 |
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| 摘 要： | 以矩阵的秩为基础,给出了两种特殊的矩阵:行满秩阵和列满秩阵,并对照矩阵的性质给出了行(列)满秩阵的几条性质,在此基础上研究了线性方程组AX=B对任一m维列向量B都有解的充要条件,进一步给出了矩阵方程AX=B有唯一解的条件。
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| 关 键 词： | 矩阵的秩 行满秩阵 列满秩阵 |
The Properties of Row(Column) Full Rank Matrices |
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| XU Qiu-li.The Properties of Row(Column) Full Rank Matrices[J].Journal of Changchun Teachers College,2005(7). |
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| Authors: | XU Qiu-li |
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| Abstract: | On the base of matricial rank,the author introduce two special matrices,row full rank matrices and column full rank matrices.And according to the properties of matrices,we have several properties about them.Then we study the necessary and suficient conditions of linear equation group AX=B having solutions for every column vector B whose dimvention is m.At last,we have the contions of linear equation group AX=B having only one solution. |
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| Keywords: | matricial rank row full rank matrices column full rank matrices |
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