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Homework Help: The Range of T (polynomial)

  1. Oct 12, 2011 #1
    1. The problem statement, all variables and given/known data

    Let T: P2-P3 be the linear transformation defined by T(p(x)) = xp(x). Which of the following are in R(T)?

    (a) x2
    (b) 0
    (c) 1 + x

    2. Relevant equations

    R(T) is the the set of all vectors in P3 which are images under T of vectors in P2.

    3. The attempt at a solution

    I just don't know where to start? I don't know what p(x) is?
  2. jcsd
  3. Oct 12, 2011 #2


    Staff: Mentor

    Start with how the definitions of P2 and P3.

    p(x) is an arbitrary function in P2.
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