For each of the following linear operators T, determine if the given subspace W is a T-invariant subspace of V. (a) V = P,(R), T(S)= f', and W = P2(R) (b) V = P(R), T()(x) = xf(x), and W = P2(R) (c) V = R, T(a, b, c) = (a + b + c, a + b+ c, a + b + c), and W = {(t, t, t): t e R} (d) V = C([0, 1]), TS)O = | | s(x) dx t, and W = {f e V: f(t) = at + b for some a and b} (e) V = M2x2(R), T(A) = G )4, and W = {A € V: A' = A} %3D

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A: Topic:- matrix