| 任意体上的矩阵方程AXB CYD=0 |
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| 引用本文： | 林春艳. 任意体上的矩阵方程AXB CYD=0[J]. 运城学院学报, 1997, 0(4) |
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| 作者姓名： | 林春艳 |
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| 作者单位： | 山东财政学院基础部 |
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| 摘 要： | 本文运用任意体上的矩阵的广义{1}逆,给出了任意体上矩阵方程AXB CYD=0的通解表达式及其仅有零解的一个充要条件。
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| 关 键 词： | 体 矩阵方程 矩阵广义逆 |
The Matrix Equation AXB CYD = 0 over an Arbitrary Skew Field |
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| Lin Chunyan. The Matrix Equation AXB CYD = 0 over an Arbitrary Skew Field[J]. JOURNAL OF YUNCHENG UNIVERSITY, 1997, 0(4) |
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| Authors: | Lin Chunyan |
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| Affiliation: | Lin Chunyan |
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| Abstract: | An expression of general solution of the matrix equation AXB CYD = 0 over an arbitrary skew field F is derived by using generalized inverses of matrices over F, and a necessary and sufficient condition for the only zero solution of the equation is also given. |
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| Keywords: | skew field matrix equation generalized inverse of matrix |
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