Please solve this with process.

2. (20 points) Which of the following transformations T : V - V are linear? Recall that C(R) is the vector space of all continuous functions f : R - R, and that P2 is the vector space of polynomials with real coefficients of degree at most two. A. T([a y]t) = [(i + 1 )x y]t, V = C2 B. T([x y z]t ) = [(x - 1) y (2 +1)]t, V=3 C. T(f(x)) = xf' (x) +f"(x), V = C(R) D. T(f (x) ) = (f(x))2, V=P2