The objective of this paper is to study algebraic properties of neutrosophic matrices, where
a necessary and sufficient condition for the invertibility of a square neutrosophic matrix is presented
by defining the neutrosophic determinant. On the other hand, this work introduces the concept of
neutrosophic Eigen values and vectors with an easy algorithm to compute them. Also, this article
finds a necessary and sufficient condition for the diagonalization of a neutrosophic matrix
