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Subspace of polynomials, find basis

  1. Oct 31, 2009 #1
    Trying to solve a question in linear algebra. P2 is a polynomial space with degree 2.

    Is P(t): P'(1)=P(2) (P' is the derivative) a subspace of P2. What is the basis ?

    It seems that it is a subspace with basis 1-t,2-t2. Can anybody explain how this can be found?
     
  2. jcsd
  3. Oct 31, 2009 #2

    Dick

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    Re: Subspaces

    An element of P2 is a polynomial P(x)=ax^2+bx+c. Put that into P'(1)=P(2) and figure out what condition a, b and c have to satisfy.
     
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