Further characterizations of the $ m $-weak group inverse of a complex matrix

Wanlin Jiang, Kezheng Zuo · AIMS Mathematics · 2022

In this paper, we introduce certain different characterizations and several new properties of the $ m $-weak group inverse of a complex matrix. Also, the relationship between the $ m $-weak group inverse and a nonsingular bordered matrix is established as well as the Cramer's rule for the solution of the restricted matrix equation that depends on the $ m $-weak group inverse.

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