Let B1 = {1,x, x²} and B2 = {x – 1, a² – x – 1, 1} be two bases of P2(R). Let C1 = {ē1,ë2, ë3} and C2 = {ei – ē2, ē3, ē1 + ē2 + ēz} be two bases of R³. Suppose that T: P2(R) → R³ is a linear transformation such that, with respect to bases B1 and C1, the matrix of T is given by M(T) = |1 %3D Find the matrix of T with respect to the bases B2 and C2.

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