### Z-Modules of Polynomials, Basis and Linear Combinations

Please see the attached file for the fully formatted problems. Let P3 = ( it is set of all polynomials with coefficients in Z that are at most of degree 3.) Let A = and B = where , that is  = . (a) Verify that A and B are bases of the Z-module P3. (b) Compute the change of basis matrices PAB (from the