| 任意体上的矩阵方程组 |
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| 引用本文： | 王卿文,孙晓琳.任意体上的矩阵方程组[J].山东师范大学学报(自然科学版),1994,9(4):14-17. |
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| 作者姓名： | 王卿文 孙晓琳 |
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| 作者单位： | 昌潍师专数学系，烟台教育学院 |
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| 摘 要： | 定义了任意体上矩阵的一种广义逆，解决了任意体上的矩阵方程组的有解判定、解的性质及其通解的显式表示等问题，从而使通常的投影矩阵在任意体上得到了进一步的推广。
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| 关 键 词： | 体 矩阵方程组 投影矩阵 广义 逆矩阵 |
A SYSTEM OF MATRIX EQUATIONS OVER AN ARBITRARY SKEW FIELD |
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| WangQingwen,Sun Xiaolin.A SYSTEM OF MATRIX EQUATIONS OVER AN ARBITRARY SKEW FIELD[J].Journal of Shandong Normal University(Natural Science),1994,9(4):14-17. |
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| Authors: | WangQingwen Sun Xiaolin |
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| Abstract: | n this paper,we define a type of generalized inverse of a matrix over an arbitrary skewfield,and give necessary and sufficient conditions for the solvability of the system of matrix equations overan arbitrary skew fieldThe distinct expressions of the general solutions of the system are also found. Some properties of thesolutions are given. Therefore the original projection matrix is generalized over an arbitrary skew field. |
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| Keywords: | skew field system of matrix equations projection matrix generalized inverse of amatrix idempotent matrix |
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