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Math Help - min. of determinant

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    min. of determinant

    Find absolute minimum value of 3\times 3 determinant whose enteries are taken from the set \left\{-1\;,1\right\}
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    Re: min. of determinant

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    Re: min. of determinant

    Quote Originally Posted by jacks View Post
    Find absolute minimum value of 3\times 3 determinant whose enteries are taken from the set \left\{-1\;,1\right\}
    Brute-force search shows that the minimum is -4, realized by \begin{vmatrix}1&1&1\\1&1&-1\\1&-1&1\end{vmatrix} and 95 other matrices.
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