8. Let B = {(1, 1, 1), (1, 1, 0), (1,0, 0)}, B' = {(0,0, 1), (0, 1, 1), (1, 1, 1)}, and [x], = [-1 2 -3]". (a) Find the transition matrix from B to B'. (b) Find the transition matrix from B' to B. (c) Verify that the two transition matrices from part (a) and (b) are inverses of each other. (d) Find the coordinate matrix [x]B.

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