如何证明存在有限点和有限函数 满足fi(xj)=δij

Let S be a set ,F a field and V(S;F)the space of all functions from S to F; (f+g)(x) = f(x) + g(x)
(cf)(x) = cf(x)
Let W be any finite-dimensional subspace of V(S;F).Show there exist points x1,x2,,,,xn in S and
functions f1,f2, ,,,fn in W such that fi(xj)=δij .
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