Question: Let D = {d 1 , d 2 , d 3 } and F = {f 1 , f 2 , f 3 } be

Let D = {d1, d2, d3} and F = {f1, f2, f3} be bases for a vector space V, and suppose f1 = 2d1 - d2 + d3, f2 = 3d2 + d3, and f3 = -3d1 + 2d3. 

a. Find the change-of-coordinates matrix from F to D.

b. Find [x]D for x = f1 2f2 + 2f3.

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