The Mathematical Formulas for Inverting Plithogenic Matrices of Special Orders Between 20 and 24
Ahmad A.Abubaker1, Wael Mahmoud Mohammad Salameh2,*, Heba Alrawashdeh3, Amani Shatarah4, Norah Mousa Alrayes5, Abdallah Al-Husban6
1Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia
2Faculty of Information Technology, Abu Dhabi university, Abu Dhabi, UAE
3Faculty of Computer Information Systems, the University of Jordan, Aqaba, Jordan
4Department of mathematics, college of science, Taibah university, Al-Madinah, Saudi Arabia
5Department of mathematics, college of science, Taibah university, Al-Madinah, Saudi Arabia
6Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan
Emails: a.abubaker@arabou.edu.sa; wael.salameh@adu.ac.ae; hsrawashdeh@yahoo.com; ashatarah@taibahu.edu.sa; nrees@taibahu.edu.sa; dralhosban@inu.edu.jo
Abstract
This paper is dedicated to study the Invertibility properties of all plithogenic square matrices of high orders between 20 and 24, where we present the mathematical conditions and formulas for computing the inverses of all plithogenic square matrices with real plithogenic entries. This goal will be completed by proving many theorems that describe the Invertibility of all classic matrix parts of the corresponding symbolic m-plithogenic matrix.
Keywords: 20-plithogenic matrix; invertible plithogenic matrix; plithogenic determinant.