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Math Help - Inner Product spaces

  1. #1
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    Inner Product spaces

    THese spaces confuse me. I know that I have to show four axioms are satisfie but with this problem not sure how to do it.

    Problem: Determine whether the function <, >:
    R2 -------> R defined by < u, v > = u1^2 - v1^2 for u = (u1, u2), v = ( v1, v2) is an inner product.
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  2. #2
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    Consider u = \left( {1,2} \right) \quad  \Rightarrow \quad \left\langle {u,u} \right\rangle  = 0.
    Last edited by Plato; June 13th 2008 at 11:33 AM.
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