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Deepak Patra posted an Question
January 01, 2022 • 09:25 am 30 points
  • IIT JAM
  • Mathematics (MA)

Sir please explain this two statement????????2. let v=r[x] be a vector space of all polyñoma-functions with real coefficients andt:v(r) > v(r) be l.t. sùch thàt

Sir please explain this two statement????????2. Let V=R[x] be a vector space of all polyñoma-functions with real coefficients andT:V(R) > V(R) be L.T. sùch thàt\T(f) =f' then 0is only eigen value of T, coresponding eigen functions are non-zero constant polynomial. 3. Let V=R[:] be a vector space of allpolynomial functions with real coefficients and T:V(R)-> V(R, be bT such that T(f)= | Stdt then T does not have any eigen value

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