New characteristics and applications of the EP, normal and Hermitian matrices

Abstract

In this paper, we present the EP-matrices, normal, and new features of the Hermitian matrix. We are going to push it to a higher order form. This paper describes EP-matrices, normal matrices and Hermitian matrix equivalent forms by using Core inverse. We also give several special equivalent facts by use decompositions. We also give other special equivalent facts. A new equivalent condition for the reverse order law is also obtained.