International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS 2020 2020 A Novel Approach to Necessary and Sufficient Conditions for the Diagonalization of Refined Neutrosophic Matrices Department of Mathematics, Gaziantep University, Gaziantep27310, Turkey Necati Olgun Department of Mathematics,Gaziantep University, Turkey Ahmed Hatip Department of Mathematics, Gaziantep University, Gaziantep 27310, Turkey Mikail Bal Tishreen University, Faculty of Science, Department of Mathematics, Lattakia, Syria Mohammad Abobala This work is dedicated to study the conditions of diagonalization in the case of refined neutrosophic matrices, where it presents the necessary and sufficient conditions for the diagonalization of these matrices by finding a relationship with classical diagonalization of matrices. Also, it describes an algorithm to obtain all eigen values and eigen vectors of refined neutrosophic matrices from the classical ones.   2021 2021 72 79 10.54216/IJNS.160202