Let A = {a₁,a2,a3} and B = {b₁,b2,b3} be bases for a vector space V, and suppose a₁ = 4b₁ b₂, a₂ = − b₁ + 3b₂ + b3, a3 = b₂ − 2b3. a. Find the change-of-coordinates matrix from A to B. b. Find [x] for x = 3a₁ +4a₂ + a3. a. P = B+A b. [x]B (Simplify your answer.) =

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