aspg-21-2128-1791468657 20261008141057 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 22 2 Luis llerena Ocana Universidad Regional Autonoma de los Andes (UNIANDES), Ecuador Dionisio Ponce Ruiz Universidad Regional Autonoma de los Andes (UNIANDES), Ecuador Maria Pico Pico Universidad Regional Autonoma de los Andes (UNIANDES), Ecuador The main goal of this paper is to study the algebraic properties of the symbolic n-plithogenic matrices in two different special cases (for n=13, n=14). We present many theorems that describe the algebraic behavior of these matrices, where an algorithm for computing determinants, inverses, and eigenvalues will be provided. On the other hand, the relationships between symbolic 13-plithogenic/14-plithogenic matrices and their classical components will be derived. 2023 95 107 2128 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.220208 https://www.americaspg.com/journal/21/article/2128 https://www.americaspg.com/storage/11749422688.pdf