Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/2016 2022 2022 Department Of Mathematics, Gaziantep University, Gaziantep Ahmed Hatip The main goal of this paper is to study the properties of symbolic 5-plithogenic matrices and symbolic 6-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work. 2023 2023 08 17 10.54216/GJMSA.070101 https://www.americaspg.com/articleinfo/33/show/2016