| 矩阵方程解的存在性 |
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| 引用本文： | 赵翠琴.矩阵方程解的存在性[J].洛阳师范学院学报,2004,23(2):27-28. |
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| 作者姓名： | 赵翠琴 |
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| 作者单位： | 洛阳大学师范学院,河南洛阳,471039 |
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| 摘 要： | 指出矩阵方程Am×nXn× 1=Bm× 1与矩阵方程Am×nXn×s=Bm×s的解之间的关系 ;然后给出矩阵方程Am×nXn×s=Bm×s解的存在性定理并给出求其通解的方法 .
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| 关 键 词： | 矩阵方程 初等行变换 基解矩阵 特解矩阵 |
| 文章编号： | 1009-4970(2004)02-0027-02 |
| 修稿时间： | 2004年1月2日 |
The Existence of Solutions of Linear Matrix Equation |
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| ZHAO Cui-qin.The Existence of Solutions of Linear Matrix Equation[J].Journal of Luoyang Teachers College,2004,23(2):27-28. |
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| Authors: | ZHAO Cui-qin |
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| Abstract: | This paper points out the relations of solutions between matrix equation A_ m×n X_ n×1 =B_ m×1 and matrix equation A_ m×n X_ n×s =B_ m×s ;then we obtain the existence theorem of solutions of matrix equation A_ m×n X_ n×s =B_ m×s and give one method of solving general solutions of it. |
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| Keywords: | matrix equation elementary row transformation basic solution matrix particular solution matrix |
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