Question: 9. (10 pts) Consider the (ordered) bases B = {1, 1 - t,t -t'} and C = {1, t, t? } for P2. (a) (5

9. (10 pts) Consider the (ordered) bases B = {1, 1 - t,t -t'} and C = {1, t, t? } for P2. (a) (5 pts) Find the change of coordinates matrix from C to B. (b) (5 pts) Find the coordinate vector of p(t) = 2 + t' relative to B. (c) (5pts) The mapping T : P2 -+ P2, T(p(t)) = (1 + t)p'(t) is a linear transformation, where p(t) is the derivative of p'(t). Find the C-matrix of T

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