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Consider the linear transformation T : 93 M2(R) P P(-1) P'(-1) ] P(1) P'(1) ] (a)(5 points) Find [Tleg for the basis B = {1,

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Consider the linear transformation T : 93 M2(R) P P(-1) P'(-1) ] P(1) P'(1) ] (a)(5 points) Find [Tleg for the basis B = {1, x, x2, x3} of 9, and the basis of M2 (IR). Show your work. (b) (5 points) Use part (a) to determine if T is injective, surjective, both, or neither. Justify your

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