Abstract: This paper,on the basis of the vector function and kronecker product theorems,definites parts of the matrix vector functions.After using and analysing the nature of the Kronecker product and Moore-Penrose generalized inverse,this paper also presents the structure and algorithm and examples of the Hankel Matrix solution of linear nature matric equation.

Key words: matrix equation, Moore-Penrose inverse, Kronecker product, vector function, Hankel Matrix