| 用初等行变换求线性矩阵方程的通解 |
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| 引用本文： | 韩维信.用初等行变换求线性矩阵方程的通解[J].大学数学,2000(1). |
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| 作者姓名： | 韩维信 |
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| 作者单位： | 天津大学数学系!天津300072 |
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| 摘 要： | 本文通过建立通解矩阵的概念 ,给出了用初等行变换求线性矩阵方程 Am× n Xn× s=Bm× s的通解的方法 .
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| 关 键 词： | 通解矩阵 基础解阵 特解矩阵 通解 |
Finding All Solutions of a Linear Matrix Equation by Elementary Row Operations |
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| HAN Weixin.Finding All Solutions of a Linear Matrix Equation by Elementary Row Operations[J].College Mathematics,2000(1). |
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| Authors: | HAN Weixin |
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| Abstract: | In this paper, first a new concept on a general solution matrix is introduced, then the method of finding all solutions of the linear matrix equation A m×nX n×s=B m×s by elementary row operations is given. |
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| Keywords: | general solution matrix basic solution matrix particular solution matrix general solution |
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