The subspace U = {p(x) E P3 (R) : p(0) + p(1) = 0} has bases 8 =1-2x, 1-2x3, 1-2r' and 6= -1+2x+2x- -2r ,-1+2x-2x'+2x, -1-2x +2x- + 2x3. a) Find s [!]s and #[!]s b) A certain polynomial p(r) in U has [p(x)]8 = Find [p(x)]s. c) For the linear transformation S : U -> M2x2(R) defined by S(p(x)) = P(-1) p(0) p(1) p(2) find B = =[S]s and D = =[S]s (where = = En1, E12, E21, E22 is the standard basis for M2x2(R)) d) Is B similar to D