Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1224 2021 2021 Department of Mathematics, port said, Egypt Ahmad Salama Departement of Mathematics, Albaath University, Homs, Syria Rasha Dalla PHD of Mathematics, GaziAntep, Turkey Malath Al Aswad Department Of Mathematics, Cairo University, Egypt Rozina Ali The objective of this paper is to study algebraic properties of complex neutrosophic matrices, where a necessary and sufficient condition for the invertibility of a complex square neutrosophic matrix is presented by defining the complex neutrosophic determinant. On the other hand, this work introduces the concept of neutrosophic characteristic polynomial and neutrosophic Cayley-Hamilton theorem for the complex case. 2022 2022 21 29 10.54216/JNFS.040103 https://www.americaspg.com/articleinfo/24/show/1224