For each linear operator T on V, find the minimal polynomial of T. (a) V = R2 and T(o

Chapter 7, Problem 3

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For each linear operator T on V, find the minimal polynomial of T. (a) V = R2 and T(o, b) = (a + b, a - b) (b) V = P2(R) and T(g(x)) = g'(x) + 2g(x) (c) V = P2(R) and T(f(x)) = -xf"(x) + f'(x) + 2f(x) (d) V = MnXn(i?) and T(A) = A*. Hint: Note that T2 = I.

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