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How to Characterize Equalities for the Generalized Inverse A^{(2)}_{T,S} of a Matrix

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Abstract

In this paper, some rank equalities related to generalized inverses A(2)T;S of a matrix are presented. As applications, a variety of rank equalities related to the M-P inverse, the Drazin inverse, the group inverse, the weighted M-P inverse, the Bott-Dun inverse and the generalized Bott-Dun inverse are established.

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