# Math Help - min. of determinant

1. ## 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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3. ## Re: min. of determinant

Originally Posted by jacks
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.