| 体上矩阵方程AXB=C的求解 |
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| 引用本文： | 王卿文,林春艳.体上矩阵方程AXB=C的求解[J].烟台大学学报(自然科学与工程版),1996(3):11-14. |
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| 作者姓名： | 王卿文 林春艳 |
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| 作者单位： | 昌潍师范专科学校数学系(王卿文)，山东财政学院基础部(林春艳) |
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| 摘 要： | 给出了任意体上的矩阵方程ＡＸＢ＝Ｃ相容的充要条件及其通解的矩阵算法，并给出了任意体上齐次右线性方程组的基础解系的简捷求法
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| 关 键 词： | 体上的矩阵方程 基础解系 基础解阵 弱直积右 齐次线性方程组 |
Solving the Matrix Equation AXB=C Over a Skew Field |
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| Wang Qingwen.Solving the Matrix Equation AXB=C Over a Skew Field[J].Journal of Yantai University(Natural Science and Engineering edirion),1996(3):11-14. |
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| Authors: | Wang Qingwen |
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| Abstract: | A necessary and sufficient condition for the consistency of the matrix equation AXB=C and a matrix method finding the general solution of it over a skew field are presented. A simple and practical method finding a set of basic solutions of a homogeneous systemn of right linear equations over an arbitrary skew field is also given. |
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| Keywords: | matrix equation over a skew field system of basic solutions basic solution matrix weak direct product homogeneous system of right linear equations |
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