Question

The maximum and minimum value of $(3\times 3)$ determinant whose elements belongs to $\{0,1\}$ is

• A. $1,-1$
• B. $2,-2$
• C. $4,-4$
• D. None of these

Answer 1

Answer: (B)

${\left|A\right|}_{max}=\left[\begin{array}{ccc}0& 1& 1\\ 1& 0& 1\\ 1& 1& 0\end{array}\right]=0-\left(-1\right)+1\left(1\right)2$
$\therefore {\left|A\right|}_{min}=-2$