On the partial fraction decomposition of a transfer matrix over an arbitrary field

It is known that any generalized (i.e. not necessarily proper) transfer function T can be represented by the inverse of a regular pencil (sE-A). An explicit formula is presented for the partial fraction decomposition of the operator (sE-A) ^-1, where E and A are matrices with elements in an arbitrary field. This means that the partial fraction expansion of T that can be performed elementwise can also be expressed directly in terms of operators that are `generalized´ polynomials in A and of the irreducible factors of the characteristic polynomial of the above pencil