Samir ahmad Asked a Question
March 16, 2022 8:08 pmpts 30 pts
JS0) 0, 1S a subspace of F(. T). 14. Let S be a 1onempty set and a ficld. Let C(S, F) denote tlie sct ot all hunctions f E F(S, P) such that f(s) = 0 for all but a finite mmber of elemcnts of S. Prove that C(S, F) is a subspace of F (S, P).
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  • Navdeep goyal 1 thankyou
    let f,g €C(S,F) then for a,b €F and some s€S (af+bg)(s)= af(s)+bg(s)= a.0+b.0=0 af+bg€C(S,F)
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