R*by T(S)=(f0),S(0)). Then T is (a.) one-to-one and onto.. (b.) one-to-one but not onto.">

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Deepak Patra posted an Question
January 04, 2022 • 22:58 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let v be the space of twice differentiable functions on r satisfying f"-2f+f =0 . . define t:v>r*by t(s)=(f0),s(0)). then t is (a.) one-to-one and onto.. (b.) o

Let V be the space of twice differentiable functions on R satisfying f"-2f+f =0 . . Define T:V>R*by T(S)=(f0),S(0)). Then T is (a.) one-to-one and onto.. (b.) one-to-one but not onto. (c.) onto but not one-to-one. (d.) neither one-to-one nor onto.

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