Question: Problem 6. For each of the following linear transformations T: V - V on a vector space V, determine if T is diagonalizable, and if

Problem 6. For each of the following linear transformations T: V - V on a vector space V, determine if T is diagonalizable, and if so find a basis B for V such that [T] is a diagonal matrix. (a) V = P3(R) and T(f(x)) = f'(x) + f"(x). (b) V = M2x2(R) and T(A) = At

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