Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 10.54216/PMTCS https://www.americaspg.com/journals/show/2025 2023 2023 Umm Al-Qura Univerity, Mekka, Saudi Arabia Khadija Ben Othman University Of Nizwa, Sultanate of Oman Oliver Von Shtawzen Mutah University, Faculty of Science, Jordan Ahmad Khaldi Cairo University, Department of Mathematics, Egypt Rozina Ali The main goal of this paper is to study the properties of symbolic 8-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 14 19 10.54216/PMTCS.010202 https://www.americaspg.com/articleinfo/40/show/2025