<p>Representing Symbolic 3-Plithogenic Matrices with Symbolic</p>
<p>3-Plithogenic Linear Transformations</p>
<p>P. Prabakaran</p>
<p>Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam - 638401,</p>
<p>Tamil Nadu, India.</p>
<p>Emails: prabakaranpvkr@gmail.com</p>
<p>Abstract</p>
<p>The objective of this article is to study about the representation of symbolic 3-plithogenic matrices by linear</p>
<p>transformations between symbolic 3-plithogenic vector spaces, where it proves that every symbolic 3-</p>
<p>plithogenic matrix can be represented uniquely by a linear transformation between symbolic 3-plithogenic</p>
<p>vector spaces. On the other hand, this work introduces an algorithm to compute a basis of any symbolic</p>
<p>3-plithogenic vector space depending on the classical basis of its corresponding classical vector space.</p>
<p>Keywords: Symbolic 3-plithogenic vector space; symbolic 3-plithogenic matrice; linear transformation.</p>