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Inner products

  1. Oct 6, 2009 #1
    Hi,
    I was wondering how would i determine if <p,q> = p(0)q(0)+ p(1)q(1) is an inner product for P2.

    I know, we have to check for non-negativity, symmetry and linearity. Just not sure how.

    thanks!
     
  2. jcsd
  3. Oct 6, 2009 #2

    lanedance

    User Avatar
    Homework Helper

    what is P2?

    try working through the definitions using what you know about P2

    for the first can you show
    <p,q> = p(0)q(0)+ p(1)q(1) >= 0
    or can you find a counter example or reason why this is not the case?
     
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