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- W2373679492 abstract "This paper draws a conclusion that if the group inverse A# and B# of matrixes A and B with the rank n exist in the field, their product′s group inverse (AB)# also exists. Furthermore, the sufficient and necessary condition of (AB)#=B#A# is that there is the rank n reversible matrix P to make A=Pdiag(A_1, A_2, ..., A_s)P -1, and B=Pdiag(B_1, B_2, ..., B_s)P -1, and make A_i and B_i for arbitrary i(i=1, 2, ..., s) with the same rank. A_i and B_i are reversible matrix or zero matrix. If i≠1, the equation A_iB_i=0 may be set." @default.
- W2373679492 created "2016-06-24" @default.
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- W2373679492 date "2005-01-01" @default.
- W2373679492 modified "2023-09-23" @default.
- W2373679492 title "Reverse order Law on Group Inverses of Matrices" @default.
- W2373679492 hasPublicationYear "2005" @default.
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