aspg-21-2653-1791475985 20261008161305 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 1 Isra Al-Shbeil Department of Mathematics, Faculty of Sciences, University of Jordan, Amman 11942, Jordan Wael Mahmoud M. Salameh Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE Hossam Almahasneh Assistant professor, IT faculty, Zarqa university, Jordan Khalid Kaabneh Faculty of Information Technology, Al-Ahliyya Amman University, Jordan Mutaz Shatnawi Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid 21110, Jordan Khaled Al-Husban School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi Selangor DE, Malaysia 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 128 135 2653 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240112 https://www.americaspg.com/journal/21/article/2653 https://www.americaspg.com/storage/91737395792.pdf