(2) Let T : R² → R´ and S : R´ → R³ be linear transformations defined by T x + y x2 2.x1 13 + 15 and S 12 + x4 Let E be the standard basis of R5. Let B and D be bases of 1 R? and R', respectively, where B = {v1, v2} and D {w1, w2, w3} with i U2 = -2 4 1 wi = uw2 = 1 and wz = 1 (a) Find (ST) and find Mg-B(T), Mp-e(S) and Mp-B(ST). (b) Verify Mp+B(ST) = Mp+ɛ(S)Mɛ+B(T).

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