Thanu Dharshani posted an Question
July 29, 2021 • 12:30 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let s be a nonempty set and f a ficld. let c(s, f) denote the sct of all functions f e f{s, f) such that f(s) = 0 for all but a finito nuimber of elements of s.

Let S be a nonempty set and F a ficld. Let C(S, F) denote the sct of all functions f E F{S, F) such that f(s) = 0 for all but a finito nuimber of elements of S. Prove that C(S,F) is a subspace of F(S, F).

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