$\left(\begin{matrix}2&-1&2&-1&2\\3&2&3&2&1\\-1&4&3&1&1\\1&-2&1&3&2\\2&1&1&-1&1\end{matrix}\right)$

$171$

$\left(\begin{matrix}-\frac{1}{9}&\frac{31}{171}&-\frac{32}{171}&-\frac{2}{171}&\frac{43}{171}\\-\frac{1}{3}&-\frac{5}{57}&\frac{7}{57}&\frac{4}{57}&\frac{28}{57}\\\frac{5}{9}&\frac{52}{171}&\frac{7}{171}&-\frac{53}{171}&-\frac{143}{171}\\-\frac{2}{9}&\frac{17}{171}&-\frac{1}{171}&\frac{32}{171}&-\frac{4}{171}\\-\frac{2}{9}&-\frac{82}{171}&\frac{35}{171}&\frac{77}{171}&\frac{140}{171}\end{matrix}\right)$

$11$

$\left(\begin{matrix}2&3&-1&1&2\\-1&2&4&-2&1\\2&3&3&1&1\\-1&2&1&3&-1\\2&1&1&2&1\end{matrix}\right)$

$5,5$

$\left(\begin{matrix}1&0&0&0&0\\0&1&0&0&0\\0&0&1&0&0\\0&0&0&1&0\\0&0&0&0&1\end{matrix}\right)$