International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2614 2020 2020 Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam - 638401, Tamil Nadu, India Bilal Bilal College of Business Administration, American University of the Middle East,54200, Egaila, Kuwait Bilal Abdallah Tashkent State University of Economics, Uzbekistan Turayeva Dinara Tulkunovna The main objective of this article is to study the inverse of invertible symbolic 3-plithogenic real square matrices using the concept of adjoints and characteristic polynomials. Also, the symbolic 3-plithogenic version of Cayley-Hamilton theorem was proved and provided enough examples to enhance understanding. 2024 2024 350 357 10.54216/IJNS.230427 https://www.americaspg.com/articleinfo/21/show/2614