Characterization and Representation of Weighted Core Inverse of Matrices

Abstract

In this paper, we introduce new representation and characterization of the weighted core inverse of matrices. Then, we study some properties of the one sided core and dual core inverse of matrices along with group inverse and weighted Moore-Penrose inverse. Further, by applying the new representation and properties of weighted core inverse of matrix, we discuss a few new results related to the reverse order law for these inverses.