International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1057 2020 2020 On the Neutrosophic Characteristic Polynomials and Neutrosophic Cayley-Hamilton Theorem Faculty of science,, Department,of mathematices,AL- Baath University, Homs,Syria Malath F. Alaswa The objective of this paper is to study some novel algebraic properties of neutrosophic matrices. Also, this work introduces the concept of neutrosophic characteristic polynomial of a square neutrosophic matrix and the neutrosophic version of Cayley-Hamilton.On the other hand, we illustrate many examples about the validity of this work. 2022 2022 59 71 10.54216/IJNS.180305 https://www.americaspg.com/articleinfo/21/show/1057