- - Consider the ordered bases B = {3x − 5, 8 – 5x} and C = {−(4 + 4x), 4x −4} for the vector space P2. a. Find the transition matrix from C to the standard ordered basis & = {1, 2} -4 TE = -4 b. Find the transition matrix from B to E. -5 8 TE= TB = -5 c. Find the transition matrix from & to B. -5 -3 3 8 5 d. Find the transition matrix from C to B. 12 7 [p(x)]B= 4 TB = 12 7 e. Find the coordinates of p(x) = 2 + 2x in the ordered basis B. -13 = [q(x)]B = -8 = f. Find the coordinates of g(x) in the ordered basis B if the coordinate vector of g(x) in C is [q(x)]c = [2] -2 3

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