Title: What about classical matrix orthogonal polynomials? Abstract: The most known families of Orthogonal Polynomials (OP) on the real line appeared as solutions of second order differential equations on the Mathematical Physics. It was discovered later some other differential properties also characterize such families of OP, called classical OP: Hermite, Laguerre, Jacobi, and Bessel polynomials. These characterizations can be generalized to a bigger class, called semi-classical Orthogonal Polynomials. More recently, the matrix OP have shown to be an efficient tool for some problems in applied sciences. A natural question arises: what is the analogue of the classical and semi-classical OP in the matrix case? The answer of this question is important as not too many explicit examples of matrix OP are known. The aim of this talk is to shed light upon this question