Let K be a field n e N. Suppose the vector space Pn K[x] with a basis of Bn = {1, x, x2,...,xn). Let a0, a1,..., an K with ai unequal to aj. The function is defined as : Pn Kn+1, f (f(a0), f(a1), ... f(an)). Find for the elements a0, a1, a2, a3 the transformation matrix A BS4 with basis B3 of P3 and S4 as the standard basis of K4. f(ao)\ (a1) : Pn Kn+1, f f(an))