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Verifying Linear Polynomial Mapping

  1. Mar 11, 2012 #1
    1. The problem statement, all variables and given/known data

    Prove whether the below equations are linear or not.

    (iii) U = P^2 -> V = P^6; (Tp)(t) = (t^2)p(t^2) + p(1).
    (iv) U=P^2 -> V =P^6;(Tp)(t)=(t^2)p(t^2)+1.

    2. Relevant equations


    3. The attempt at a solution

    I really don't know.


    Last edited: Mar 11, 2012
  2. jcsd
  3. Mar 11, 2012 #2


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    Staff Emeritus
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    Gold Member

    I think you need to show us an attempt to use the definition of "linear".
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