Question

Найти f(A), еслиA^2-9A+20E
A;=(6 2)
( 2 3 )

Answer 1

$A = left[begin{array}{cc}6&2\2&3\end{array}right], \ A^2 = left[begin{array}{cc}36+4&12+6\12+6&4+9\end{array}right] = left[begin{array}{cc}40&18\18&13\end{array}right], \ A^2 - 9A + 20E = left[begin{array}{cc}40 - 54 + 20&18-18\18-18&13-27+20\end{array}right] = left[begin{array}{cc}6&0\0&6\end{array}right] = 6E$