Question

For any non-empty subset S of V(F), prove that L(S) is a subspace of V(F).

Answer 1

Answer:

sorry this question is wrong

Answer 2

Answer:

Well, in general if you want to prove that a set S is not empty, then you just have to prove that it contains an element. This element can be the 0 element or any other (this don't matter). Now, suppose that V is a F vector space, W⊂V, v+w∈W for every v,w∈W and αu∈W for every u∈W and every α∈F.