複選題

20.Consider the linear mapping L:V - W. Let 620378cf96c06.jpg 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) = 62037932acad3.jpg impliesv = 620379464b6e0.jpg
(D) IfV1,V2,..., 620379708e052.jpg are linearly independent, L(V1), L(V2),.., 620379964c02c.jpg are also linearly independent.
(E) The condition G1V1:+C2V2+...+620379eed1fe7.jpg=620379fcbc123.jpg implies c1L(V1)+c2L(V2)+⋯..+62037a31d4e74.jpg=62037a3a41926.jpg

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統計: A(1), B(1), C(0), D(2), E(0) #2861280