Question

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

Answer 1

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 veetor space,WCV, vtwEW for every v, WEW and auEW for every VEW and ever aEF