Characterization and Representation of Weighted Core Inverse of Matrices
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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 the weighted core inverse of the matrix we discuss a few new results related to the reverse order law for these inverses.
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