Polynomial and rational matrices
Stephen Mark Barnett · 1990
Abstract 11.15 which describe a certain simple dynamical model. Suppose that the initial conditions for 01, 81, 02, 82 are all zero. Applying the Laplace transform to these equations then produces The 2 x 2 matrix A(s) on the left in (12.2) is an example of a polynomial matrix, whose elements are themselves polynomials. As for a scalar polynomial, A(s) can be written in terms of powers of s: