Samir posted an Question
March 17, 2022 • 01:38 am 30 points
  • IIT JAM
  • Mathematics (MA)

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 bu

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).

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • Anonymous User best-answer

    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)

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers