aspg-21-887-1791468668 20261008141108 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2021 16 2 Necati Olgun Department of Mathematics, Gaziantep University, Gaziantep27310, Turkey Ahmed Hatip Department of Mathematics,Gaziantep University, Turkey Mikail Bal Department of Mathematics, Gaziantep University, Gaziantep 27310, Turkey Mohammad Abobala Tishreen University, Faculty of Science, Department of Mathematics, Lattakia, Syria 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 72 79 887 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.160202 https://www.americaspg.com/journal/21/article/887 https://www.americaspg.com/storage/5242.pdf