| 加权广义逆矩阵的若干性质 |
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| 引用本文： | 万文婷.加权广义逆矩阵的若干性质[J].荆门职业技术学院学报,2011(5):53-56. |
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| 作者姓名： | 万文婷 |
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| 作者单位： | 荆楚理工学院数理学院; |
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| 摘 要： | 文章讨论了关于权为可逆阵的加权广义逆矩阵的一些性质。利用矩阵的运算及秩的变化的相关结论,结合矩阵的加权广义逆存在时的充要条件与表示式,给出了复数域上两个及三个矩阵乘积的加权广义逆的几个表达式。
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| 关 键 词： | 矩阵广义逆 加权广义逆 矩阵的乘法 矩阵的秩 |
Several Properties of Weighted Generalized Inverses Matrix |
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| WAN Wen-ting.Several Properties of Weighted Generalized Inverses Matrix[J].Journal of Jingmen Vocational Technical College,2011(5):53-56. |
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| Authors: | WAN Wen-ting |
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| Institution: | WAN Wen-ting(Jingchu University of Technology,Jingmen,Hubei,448000,China) |
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| Abstract: | This paper discussed some properties of generalized inverse of matrix with invertible weights.Combined with a sufficient and necessary condition for the existence of weighted generalized inverse of a matrix and its expression,several expressions for the weighted generalized inverses of two and three matrices products were given by using the related conclusions of the operation of matrix and the change of rank. |
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| Keywords: | generalized inverses matrix weighted generalized inverses product of matrices rank of matrix |
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