Let A = {a,,a2,a3} and B = (b1,b2.b3} be bases for a vector space V, and suppose a, = 4b, - b2, a2 = - b, + 6b2 + b3, ag = b2 - 3b3. a. Find the change-of-coordinates matrix from A to B. b. Find [x]R for x = 4a, + 5a2 + a3. 4 - 1 a. P - 1 1 = BEA 1 -3 b. [x]B = (Simplify your answer.)

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