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Deepak Patra posted an Question
October 31, 2021 • 11:23 am 30 points
  • IIT JAM
  • Mathematics (MA)

For an integer k 2 0, 1let pe denote the vector space of all real polynomials in one variable of degree less than or equal to k. define a linear transformation

For an integer k 2 0, 1let Pe denote the vector space of all real polynomials in one variable of degree less than or equal to k. Define a linear transformation T: P2 Ps by Tfl) = f'(c) + af(r). Which one of the following polynomials is not in the range of T? (A) +*? (B) +z*+2 (C) z +"+2 (D)r +1

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