Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/2634 2021 2021 Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam - 638401, Tamil Nadu, India P. P. The objective of this article is to study about the representation of symbolic 3-plithogenic matrices by linear transformations between symbolic 3-plithogenic vector spaces, where it proves that every symbolic 3- plithogenic matrix can be represented uniquely by a linear transformation between symbolic 3-plithogenic vector spaces. On the other hand, this work introduces an algorithm to compute a basis of any symbolic 3-plithogenic vector space depending on the classical basis of its corresponding classical vector space. 2023 2023 30 37 10.54216/JNFS.070203 https://www.americaspg.com/articleinfo/24/show/2634