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Anu Shekhar posted an Question
January 09, 2022 • 21:09 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Please show how to solve this

22 Let P, denote the real vector space of all polynomials with real coefficients of degree at most 3. Consider the map T: Pa Pa given by T(p(x) = p'"(x) + p(x). Then, (a) T is neither one-one nor onto (b) T is both one-one and ornto (c) Tis one-one but not onto (dYT is onto but not one-one

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