International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2653 2020 2020 Department of Mathematics, Faculty of Sciences, University of Jordan, Amman 11942, Jordan Wael Wael Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE Wael Mahmoud M. Salameh Assistant professor, IT faculty, Zarqa university, Jordan Hossam Almahasneh Faculty of Information Technology, Al-Ahliyya Amman University, Jordan Khalid Kaabneh Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan Mutaz Shatnawi School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi Selangor DE, Malaysia Khaled Al Al-Husban Plithogenic matrices are considered as advanced mathematical generalizations of classical square matrices. One of the most research problems that is related to them is finding the eigen-values and vectors. This paper aims to present an easy algorithm to find all eigen-values and eigen-vectors for 10 different symbolic square n-plithogenic matrices with plithogenic real entries, where n is between 20 and 29. All algorithms are explained through clear theorems and proofs. 2024 2024 128 135 10.54216/IJNS.240112 https://www.americaspg.com/articleinfo/21/show/2653