To marks in This question has three parts. (a), (D), an For parts (a) and (b) below, let 201 u = V= 203 be a basis for R". (a) (3 marks) Show that WI W2 W3 -W2 do not form a basis for M, (R). (b) (8 marks) Let f, g, he F be the functions satisfying f(x) =1, g(x) = sin (x), h(x) = - cos' (x) for all a E R. Prove that uft (un tug)g, vIf - vag + ugh, (w, + w2 + w3)h do not form a basis for the subspace U = Span(f, g, h) of F. (C) (5 marks) Recall that the degree of a polynomial p