  The notion of the Moore-Penrose inverse of tensors with the Einstein product
was introduced, very recently. In this paper, we further elaborate this theory
by producing a few characterizations of different generalized inverses of
tensors. A new method to compute the Moore-Penrose inverse of tensors is
proposed. Reverse order laws for several generalized inverses of tensors are
also presented. In addition to these, we discuss general solutions of
multilinear systems of tensors using such theory.
