# min. of determinant

• July 13th 2012, 04:50 AM
jacks
min. of determinant
Find absolute minimum value of $3\times 3$ determinant whose enteries are taken from the set $\left\{-1\;,1\right\}$
• July 13th 2012, 04:57 AM
sohamjariwala
Re: min. of determinant
0
• July 13th 2012, 07:28 AM
emakarov
Re: min. of determinant
Quote:

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.