Let A = {a, ,a2,a3} and B= (b,,b2 b3} be bases for a vector space V, and suppose a, = 6b, - b2, az = - b, + 5b2 + b3, az = b2 - 3b3. a. Find the change-of-coordinates matrix from A to B. b. Find (x]B for x= 5a, + 6a2 + a3. 6 - 1 0 а. - 1 1 B+A 1 - 3 b. [X]B (Simplify your answer.) II

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