試卷名稱:無年度 - 主題課程_線性映射:判斷線性#107849
科目:主題課程專用
Which of the following is a linear operator?
(A) T : R→R where T(x) = 40 + 3 for any I E R.
(B) T:T2→R2 where
for any vector x∈ R2?.
(C) T : P →P where T(f(x)) = f(x)(x2 + 1) for any polynomial f(x) ∈ P.
(D) T :
where T(f(x)) = f'(x)+ f(x) for any differentiable function
f(x) ∈ C(R).
(E) None of the above.