Question: shown below 5. (10 points) Let P2(R) be the space of polynomials of degree at most 2 with coefficients in R. Consider the following two

shown below

shown below 5. (10 points) Let P2(R) be the space of polynomials

5. (10 points) Let P2(R) be the space of polynomials of degree at most 2 with coefficients in R. Consider the following two bases of P2 (R): a = {1, ac, ac2 } B = {1, 1 + x, +x2]. Let T : P2(R) - P2(R) be the linear transformation with 1 1 IT]B = 0 1 O 0 (a) (3 points) Find T(1 + x). (b) (7 points) If T is an isomorphism, find

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