Răspuns:
Explicație pas cu pas:
f(A) = A²+2A+[tex]I_{3}[/tex]
pentru a calcula f(A) trebuie sa calculam mai intai pe rand A² si 2A.
A ²= [tex]\left[\begin{array}{ccc}1&2&3\\2&0&-1\\4&4&4\end{array}\right] *\left[\begin{array}{ccc}1&2&3\\2&0&-1\\4&4&4\end{array}\right] =\left[\begin{array}{ccc}17&14&13\\-2&0&2\\28&24&24\end{array}\right][/tex]
2A=2[tex]\left[\begin{array}{ccc}1&2&3\\2&0&-1\\4&4&4\end{array}\right][/tex]= [tex]\left[\begin{array}{ccc}2&4&6\\4&0&-2\\8&8&8\end{array}\right][/tex]
f(A) =[tex]\left[\begin{array}{ccc}17&14&13\\-2&0&2\\28&24&24\end{array}\right]+\left[\begin{array}{ccc}2&4&6\\4&0&-2\\8&8&8\end{array}\right]+\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] = \left[\begin{array}{ccc}20&18&19\\2&1&0\\36&32&33\end{array}\right][/tex]
