aspg-21-2206-1791472410 20261008151330 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 22 4 P. Prabakaran Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Erode - 638401, Tamil Nadu, India Gustavo Alvarez G´omez Universidad Regional Aut´onoma de los Andes (UNIANDES), Ecuador Rita Azucena Diaz Vasquez Universidad Regional Aut´onoma de los Andes (UNIANDES), Ecuador Andr´es Le´on Yacelga Universidad Regional Aut´onoma de los Andes (UNIANDES), Ecuador The purpose of this article is to study the adjoint and inverse of neutrosophic matrices, where the inverse of a neutrosophic square matrix is defined and studied in terms of neutrosophic determinant and neutrosophic adjoint. It is shown by examples that, the converse part of the result “M is invertible if and only if detM ̸= 0” is not true, proved by Mohammad Abobala et al. in.2 Also some of the properties of neutrosophic adjoint are discussed. 2023 56 62 2206 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.220405 https://www.americaspg.com/journal/21/article/2206 https://www.americaspg.com/storage/11698921113.pdf