On The Algebraic Properties of 2-Cyclic Refined Neutrosophic Matrices and The Diagonalization Problem

Abstract

The n-cyclic refined neutrosophic algebraic structures are very diverse and rich materials. In this paper, we study the elementary algebraic properties of 2-cyclic refined neutrosophic square matrices, where we find formulas for computing determinants, eigen values, and inverses. On the other hand, we solve the diagonalization problem of these matrices, where a complete algorithm to diagonlaize every diagonalizable 2-cyclic refined neutrosophic square matrix is obtained and illustrated by many related examples. Key Words: n-cyclic refined neutrosophic ring, n –cyclic refined neutrosophic matrix, the diagonalization problem.