| 利用初等变换求解线性矩阵方程 |
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| 引用本文： | 刘国琪.利用初等变换求解线性矩阵方程[J].大学数学,1998(4). |
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| 作者姓名： | 刘国琪 |
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| 作者单位： | 河北电力职工大学 |
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| 摘 要： | 本文给出了一般线性矩阵方程ＡｍｎＸｎｓ＝Ｂｍｓ，ＸｍｎＡｎｓ＝Ｂｍｓ，ＡｍｎＸｎｓＢｓｔ＝Ｃｍｔ的解的结构定理，并介绍了一种利用初等变换求解上述三类线性矩阵方程的方法．
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| 关 键 词： | 线性矩阵方程 矩阵的初等行、列变换 通解 |
The Method of Solving Linear Matrix Equation with the Elementary Transformation of Matrix |
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| Liu Guoqi.The Method of Solving Linear Matrix Equation with the Elementary Transformation of Matrix[J].College Mathematics,1998(4). |
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| Authors: | Liu Guoqi |
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| Abstract: | In this paper, the structure theorem of solution of A mn X ns =B ms ,X mn A ns =B ms and A mn X ns B st =C mt is given, as well as, the method of solving these linear matrix equations with the elementary transformation is introduced. |
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| Keywords: | linear matrix equation the elementary transformation of matrix general solution |
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