問題詳情

【題組】

20.Consider the linear mapping L:V - W. Let

be the zero vectors in V and W, respectively.Which of the following statements are true?
(A) The condition L(V1) = L(V2) implies V1 = V2.
(B) For any w ∈ W, there exists v ∈ V such that L(V) = W.
(C) If L is one-to-one, then L(V) =

impliesv =


(D) IfV1,V2,...,

are linearly independent, L(V1), L(V2),..,

are also linearly independent.
(E) The condition G1V1:+C2V2+...+

=

implies c1L(V1)+c2L(V2)+⋯..+

=

參考答案

答案：[無官方正解]
難度：計算中-1
書單：沒有書單，新增