Question

Find the largest value of a third order determinant whose elements are $0$ or $1$.

Answer 1

The maximum value of 3$\times$3 matrix with elements 0 or 1 can be in a case when

A=$\left|\begin{array}{ccc}0& 1& 1\\ 1& 0& 1\\ 1& 1& 0\end{array}\right|=2$