Задача 17.

Compute the following: 1) ${\left( \begin{smallmatrix}1&2&3 \\ 3&2&1\end{smallmatrix}\right)}^{100}$;  2)  ${\left(\begin{smallmatrix} 1&2&3&4 \\ 2&3&4&1\end{smallmatrix}\right)}^{1000}$;  3)  ${\left(\begin{smallmatrix} 1&2&3&4&5 \\ 3&5&2&1&4\end{smallmatrix}\right)}^{-1000}$;  4)  ${\left(\begin{smallmatrix} 1&2&3&4&5 \\ 4&5&2&1&3\end{smallmatrix}\right)}^{500}$;  5)  ${\left(\begin{smallmatrix} 1&2&3&4&5&6 \\ 4&5&2&6&3&1\end{smallmatrix}\right)}^{-127}$;  6)  ${\left(\begin{smallmatrix} 1&2&3&4&5&6&7 \\ 7&6&5&1&2&3&4\end{smallmatrix}\right)}^{1001}$;