Question: Can you help me with question 2 a and b 2. (a) Let U = {AE M2(R) : tr (A) = 0} be a subspace

Can you help me with question 2 a and b

2. (a) Let U = {AE M2(R) : tr (A) = 0} be a subspace of M2(R), where tr (A) de trace of A. (i) Show that (ii) Find a basis for U. Justify your answer. (iii) Find a subspace W of M2 (R) such that U OW = M2(R). (b) Let B = {u1, u2, u3} be a basis of R3 and let & = {v1, v2, v3}, where V1 = U1 + u2 + u3, V2 = u2 + u3, Vg = U2 - U3. (i) Show that & is a basis for R3. (ii) Find the transition matrix M. from the ordered bases & to

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