Question
Asked Dec 27, 2019
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Let S be a nonempty set and F a field. Let C(S, F ) denote the set of all functions f ∈ F(S, F ) such that f(s) = 0 for all but a finite number of elements of S. Prove that C(S, F ) is a subspace of F(S, F ).

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Expert Answer

Step 1

Let V be a vector space and W be a subset of V. If W is a subspace of V, then it implies the following conditions.

Algebra homework question answer, step 1, image 1
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Step 2

Define the fol...

Algebra homework question answer, step 2, image 1
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