  The main objective of this talk is to develop a matrix pencil approach for
the study of an initial value problem of a class of singular linear matrix
differential equations whose coefficients are constant matrices. By using
matrix pencil theory we study the cases of non square matrices and of square
matrices with an identically zero matrix pencil. Furthermore we will give
necessary and sufficient conditions for existence and uniqueness of solutions
and we will see when the uniqueness of solutions is not valid. Moreover we
provide a numerical example.
