3. (5%) Let D be the differentiation operator on P3, the set of real polynomials whosedegree is less than 3. Which statement is FALSE?
(A) D is a linear transformation from P3 to P2
(B) The kernel of D is P1
(C) The range of D is P2
(D) The transition matrix from basis [1, x, x2] to basis [1, 2x, 4x2 -2] is