Consider the vector space P3, the set of all cubic polynomials and the vector space P2, the set of all quadratic polynomials. Let the basis for P3 = {1,x,x^2,x^3} and the basis for P2 = {1,x,x^2}. Define the differential operation Dx: P^3 to P^2 such that Dx(p)=p' Determine a matrix A such that Dx(p)=Ap=p'