A Characterization of the Generalized InverseAT,S(2) over Integral Domains
Abstract:If A is an invertible matrix of order n over an integral domain, the inverse of A is the uniquematrix X such that p(I^A X^I).In this paper, we generalize this fact to any general matrix over anintegral domain which is projective free to obtain an analogous result for the generalized inverse AT,S(2).
Keywords:generalized inverse ATS(2)regular matrixintegral domainidempotent matrix
Publication Date:2012-01-01
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:3( 189-190,195 )
