International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2206 2020 2020 Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Erode - 638401, Tamil Nadu, India P. Prabakaran Universidad Regional AutĀ“onoma de los Andes (UNIANDES), Ecuador Gustavo Alvarez GĀ GĀ“omez Universidad Regional AutĀ“onoma de los Andes (UNIANDES), Ecuador Rita Azucena Diaz Vasquez Universidad Regional AutĀ“onoma de los Andes (UNIANDES), Ecuador AndrĀ“es LeĀ“on Yacelga 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 ā€œM is invertible if and only if detM Ģø= 0ā€ is not true, proved by Mohammad Abobala et al. in.2 Also some of the properties of neutrosophic adjoint are discussed. 2023 2023 56 62 10.54216/IJNS.220405 https://www.americaspg.com/articleinfo/21/show/2206