aspg-21-2805-1792114915 20261016014155 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 3 Ahmad A.Abubaker Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia Wael M. Mohammad Salameh Faculty of Information Technology, Abu Dhabi university, Abu Dhabi, UAE Heba Alrawashdeh Faculty of Computer Information Systems, the University of Jordan, Aqaba, Jordan Amani Shatarah Department of mathematics, college of science, Taibah university, Al-Madinah, Saudi Arabia Norah Mousa Alrayes Department of mathematics, college of science, Taibah university, Al-Madinah, Saudi Arabia Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan 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. 2024 102 114 2805 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240309 https://americaspg.com/journal/21/article/2805 https://americaspg.com/storage/71749070679.pdf