overloading composite operator in c++ (.*)

I have implemented a Matrix class implementation for matrix manipulation, and so far i can overload ordinary (single) operators such as +, *, ...

I want to do Matrix elementary multiplication by overloading the operator (.*), such as i can write

Matrix A(5,3), B(5, 3), C;
C = A .* B;

C, in this case, will hold the value of multiplication element by element from A and B (A and B have same dimensions)

A in this cas will be the matrice transposition of A