On Some Novel Results About Neutrosophic Square Complex Matrices

Ahmad Salama¹,Rasha Dalla², Malath Al Aswad³, Rozina Ali⁴

¹Department of  Mathematics, port said, Egypt

²Departement of  Mathematics, Albaath University, Homs, Syria

³PHD of  Mathematics, GaziAntep, Turkey

⁴Department Of Mathematics, Cairo University, Egypt,

 Email:drsalama44@gmail.com; rasha.dallah20@gmail.com; Malaz.Aswad@yahoo.com; rozyyy123n@gmail.com

Abstract

The objective of this paper is to study algebraic properties of complex neutrosophic matrices, where a necessary and sufficient condition for the invertibility of a complex square neutrosophic matrix is presented by defining the complex neutrosophic determinant. On the other hand, this work introduces the concept of neutrosophic characteristic polynomial and neutrosophic Cayley-Hamilton theorem for the complex case.

Keywords: Neutrosophic complex matrix; neutrosophic real number; neutrosophic determinant; neutrosophic inverse