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## Homework Statement

Let S be a nonempty set and F a field. Prove that for any s_0 [tex]\in[/tex] S, {f [tex]\in [/tex]

K(S,F): f(s_0) = 0}, is a subspace of K(S,F).

K here is supposed to be a scripted F.

## Homework Equations

## The Attempt at a Solution

I don't know how to approach this problem. I know the three requirements that must be satisfied for a subset of a vector space to be defined as a subspace.