Abstract

In this paper, we study some properties of core-EP inverse of square matrices. Firstly, we extend the obtained theorem proved by K.M. Prasad and K.S. Mohana. Then some properties of core-EP inverse have been given, through applying the conditions (AX)* = AX, XAk+1 = Ak and R(X) = R(X*) = R(Ak). Secondly, we get some characterizations of core-EP inverse by employing the conditions AX = PAk and XA = PR(Ak), N((Ak+1)*A). Finally, we get some properties of core-EP inverse by utilizing the condition Ak+1X = AkPAk .

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