  The paper considers a Clifford extension of the Grassmann algebra, in which
operators are built from Grassmann variables and by the derivatives with
respect to them. It is shown that a subalgebra which is isomorphic to the usual
matrix algebra exists in this algebra, the Clifford exten-sion of the Grassmann
algebra is a generalization of the matrix algebra and contains superalgebraic
operators expanding matrix algebra and produces supersymmetric transformations.
