試卷名稱:111年 - 111 國立清華大學學士後西醫學系單獨招生考試_學士後醫學系/智慧資訊科技組:資訊科學#110534
年份:111年
科目:學士後西醫◆資訊科學
3. (5%) Let D be the differentiation operator on P3, the set of real polynomials whose
degree 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
(E) The matrix representation of D with respect to the basis [1, 2x, 4x2- 2] is
