On the Concept of Symbolic 7-Plithogenic Real Matrices

Khadija Ben Othman1, Oliver Von Shtawzen2,  Ahmad Khaldi3, Rozina Ali4

1Umm Al-Qura Univerity, Mekka, Saudi Arabia

                                                                                               2. University Of Nizwa, Sultanate of Oman

3 Mutah University, Faculty of Science, Jordan

4 Cairo University, Department of Mathematics, Egypt

Emails: khagijabenothman33@gmail.com; Vonshtawzen1970abc@gmail.com; khaldiahmad1221@gmail.com; rozyyy123n@gmail.com

 

Abstract

 

The main goal of this paper is to study the properties of symbolic 7-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.

 

Keywords: symbolic 7-plithogenic matrix; symbolic plithogenic eigenvalue; symbolic plithogenic eigenvector.