問題詳情

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.

參考答案

答案：B,C,D
難度：計算中-1
書單：沒有書單，新增