An Approach To Symbolic n-Plithogenic Square Real Matrices For 9

Abuobida M. A. Alfahal1,*, Barbara Charchekhandra 2, Raja Abdullah Abdulfatah3, Yaser Ahmad Alhasan4, Husain Alhayek5

1,3,4 Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia

2 Jadavpur University, Department of Mathematics, Kolkata, India

5Hama University, Department of Mathematics, Hama, Syria

Emails: a.alfahal@psau.edu.sa; Charchekhandrabar32@yahoo.com; r.abdulfatah@psau.edu.sa; y.alhasan@psau.edu.sa; Hayekalhusain333@gmail.com

*Corresponding author:  a.alfahal@psau.edu.sa

 

Abstract

 

The concept of symbolic n-plithogenic algebraic matrices as symmetric structures with n+1 symmetric classical components with the special definition of the multiplication operation. This paper is dedicated to studying the properties of symbolic 10, and 9-plithogenic real square matrices and 11, 12-plithogenic real matrices from algebraic point of view, where algorithms for computing the eigenvalues and determinants will be proved. Also, the inverse of a symbolic n-plithogenic matrix for the special values n=10, n=9, n=11, and n=12 will be presented.

 

Keywords: symbolic 9-plithogenic matrix; symbolic 10-plithogenic matrix; symbolic 11-plithogenic matrix; symbolic 12-plithogenic matrix symbolic plithogenic eigenvalue; symbolic plithogenic eigenvector.