Question: Let A = {a 1 , a 2 , a 3 } and B = {b 1 , b 2 , b 3 } be

Let A = {a1, a2, a3} and B = {b1, b2, b3} be bases for a vector space V, and suppose a1 = 4b1 - b2, a2 = -b1 + b2 + b3, and a3 = b2 - 2b3. 

a. Find the change-of-coordinates matrix from A to B. 

b. Find [x]B for x = 3a1 + 4a2 + a3.

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