Question: 5. S = {ul, u2, u3} and T = {v1, v2, v3} be two ordered bases for a subspace W in R. Suppose w1, w2,

 5. S = {ul, u2, u3} and T = {v1, v2,v3} be two ordered bases for a subspace W in R". Suppose

5. S = {ul, u2, u3} and T = {v1, v2, v3} be two ordered bases for a subspace W in R". Suppose w1, w2, w3 E W such that V2 + 303 W1 = 2v1 + 203 - 202 W1 -U1 + 22 + 23 and 202 V1 + -2u1 + 22 W3 = 3v1 W2 -2u1 W3 =(iv) [3 marks] Define the nx3 matrices A = (u1 u2 u3) and B = (v1 v2 v3). Find a matrix C such that A = BC. Hint: Consider the augmented matrix (B | A).)

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