Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/2367 2022 2022 Gaziantep University, Department of Mathematics, Gaziantep, Turkey Necati Olgun This paper is dedicated to study the algebraic properties and meta-structures that are related to symbolic 15-plithogenic with symbolic plithogenic real entries, where symbolic 15-plithogenic eigenvectors and values will be discussed and presented in terms of theorems. As well as, the computation of determinants, inverses, and scalar values. 2023 2023 41 48 10.54216/GJMSA.090205 https://www.americaspg.com/articleinfo/33/show/2367