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Math Help - real hadamard matrices of order 5 do not exist

  1. #1
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    real hadamard matrices of order 5 do not exist

    Hi there

    I've got to show that there do not exist real Hadamard matrices of order 5,6 or 7.

    So assume H is a Hadamard Matrix,  H \in \mathbb{R}^{n \times n} with n \in \{5,6,7\}

    Then we have H*H^T=n*I_n where  I_n denotes the identity Matrix in \mathbb{R}^{n \times n}

    Furthermore H*H^T*H*H^T=n^2*I_n ???

    How can I make this leading to contradiction?

    Regards
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    Re: real hadamard matrices of order 5 do not exist

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