Let A = {a₁,32,33} and B = {b₁,b₂,b3} be bases for a vector space V, and suppose a₁ = 5b₁ b₂, 1 a₂ = -b₁ +4b₂ + b3, a3 = b₂ − 3b3- a. Find the change-of-coordinates matrix from A to B. b. Find [x]g for x = 4a₁ +5a₂ + a3.

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