矩阵乘积关于{1,i}-逆与{1,j}-逆的混合交换律

Mixed Commutative Law of Matrix Multiplication on {1,i}-Inverse and {1,j}-Inverse

利用矩阵秩方法及SVD分别研究了两个矩阵乘积关于{1,2}-逆,{1,3}-逆与{1,4}-逆的混合交换律成立的充要条件.

Using the matrix rank method and SVD,necessary and sufficient conditions about the mixed commutative laws of matrix multiplication on{1,2}-inverse,{1,3}-inverse and{1,4}-inverse were established in this paper.