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中文摘要：
定义了两个矩阵乘积关于广义逆的交换律与广义交换律的概念，利用矩阵秩方法及奇异值分解分别研究了两个矩阵乘积关于{1}-逆，{1，2}-逆，{1，3）-逆与{1，4}-逆的交换律与广义交换律成立的充要条件，并对其进行了比较．
英文摘要：
The concepts of the commutative laws and generalized commutative laws of matrix multiplication on generalized inverse were defined. Using the matrix rank method and SVD, necessary and sufficient conditions about the commutative laws and generalized commutative laws of matrix multiplication on （ 1 }- inverse, { 1,2 }- inverse, { 1,3 }- inverse and { 1,4 }- inverse were established respectively,and these conditions were compared between themselves.
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