Mansi Jain posted an Question
February 06, 2022 • 19:21 pm 30 points
  • IIT JAM
  • Mathematics (MA)

For v = rt = {r € r:r>0} and f = (r, +, .), consider the binary operation on v as +y = ry ( where a, y e v and () is usual multiplication on r) and consider the

For V = Rt = {r € R:r>0} and F = (R, +, .), consider the binary operation on V as +y = ry ( where a, y E V and () is usual multiplication on R) and consider the map *:Fx V V a * t = *" Then (A) V forms a vector space over F (B) V does not form a vector space over F (C) V forms an infinite dimensional vector space over F (D) V forms a vector space over F and dimV = 1

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