[tex]A^2= \left[\begin{array}{ccc}1&3&2\\3&9&6\\2&6&4\end{array}\right] \left[\begin{array}{ccc}1&3&2\\3&9&6\\2&6&4\end{array}\right]=\left[\begin{array}{ccc}14&42&28\\42&126&84\\28&84&56\end{array}\right]=\\
\\
=14 \left[\begin{array}{ccc}1&3&2\\3&9&6\\2&6&4\end{array}\right]=14A\\
A^3=A^2A=14AA=14A^2=14*14A=14^2A\\
\text{Se demonstreaza prin inductie prin procedeul explicat mai sus:}\\
A^{n+1}=A^nA=14^nAA=14^nA^2=14^n*14A=14^{n+1}A
[/tex]
