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

Authors

  • Rama Asad Nadweh Islamic Online University, Department Of Science and Information Technology, Doha, Qatar
  • Rozina Ali Cairo University, Cairo, Egypt
  • Maretta Sarkis Abu Dhabi University, Abu Dhabi, United Arab Emirates

Keywords:

n-cyclic refined neutrosophic ring, n –cyclic refined neutrosophic matrix, 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.

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Published

2023-03-01

Issue

Vol. 54 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Rama Asad Nadweh, Rozina Ali, & Maretta Sarkis. (2023). On The Algebraic Properties of 2-Cyclic Refined Neutrosophic Matrices and The Diagonalization Problem. Neutrosophic Sets and Systems, 54, 77-88. https://fs.unm.edu/nss8/index.php/111/article/view/3256