Question: 3d. Is the transformation diagonalizable? Prove or disprove 3. For each linear operator T on V, find the minimal polynomial of T. V = R2

3d. Is the transformation diagonalizable? Prove or disprove

3. For each linear operator T on V, find the minimal polynomial of T. V = R2 and T(a, b) = (a + b, a -b) = P2(R) and T(g(x) ) = g'(x) + 2g(x) V = P2(R) and T(f(x)) = -xf"(x) + f' (x) +2f(x) V = Maxn(R) and T(A) = At. Hint: Note that T2 = 1

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