Rahul posted an Question
November 20, 2019 • 17:12 pm 20 points
  • IIT JAM
  • Mathematical Statistics (MS)

IfT: V->V is a linear transformation then T (2x +3y) = (a) 2T(x) = 3T(y) (c) 2T(x) + 3T(y) (b) 2T().3Ty) (d) 3T(x)-2T(y)

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    Eduncle best-answer

    Option(C) is correct -
     
    T(2x + 3y) = T(2x) + T(3y)  [T preserves additivity]
     
    ⇒ 2T(x) + 3T(y) T preserves scalar multiplication

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