Question: 3. (20 points.) Consider the linear transformation T : P2(R) - P2(R) defined by T(f(2)) = f(0) + f(1) (2 + 2 2 ). Test

3. (20 points.) Consider the linear transformation T : P2(R) - P2(R) defined by T(f(2)) = f(0) + f(1) (2 + 2 2 ). Test T for diagonalizability, and if T is diagonalizable, find a basis B for P2 (R) such that [T] is a diagonal matrix

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