問題詳情

109中山電機
Consider the lincar mapping L: V→W. Let Ov and Ow be the zero vectors in V and W, respectively.Which of the following statements are true?
(A) The condition L(v1) = L(v2) implies v = V2.
(B) For any w

W, there exists v 

 V such that L(v) = w.
(C) If L is onc-to-one, then L(v) = 0w implies v = 0v.
(D) Ifv1,v2, , Vk are linearly independent, L(v1), L(v2), ...,L(vk) are also linearly independent.
(E)The condition c1v1+c2v2+ckvk=0vimplies c1L(v1)+c2L(v2)+⋯+ckL(vk)=0w.

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