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Math Help - form of symmetric matrix of rank one

  1. #1
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    form of symmetric matrix of rank one

    The question is:


    Let C be a symmetric matrix of rank one. Prove that C must have the form C=aww^T, where a is a scalar and w is a vector of norm one.


    (I think we can easily prove that if C has the form C=aww^T, then C is symmetric and of rank one. But what about the opposite direction...that is what we need to prove. How to prove this?)
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  2. #2
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    Re: form of symmetric matrix of rank one

    Hey ianchenmu.

    Have you tried proof by contradiction? (Assume it has different properties and find a contradiction).
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