Question

MATRIZES
Qual a resposta preciso urgentemente.
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Answer 1

Resposta:

E

Explicação passo-a-passo:

$A^{2} = \left[\begin{array}{ccc}2&1\\1&3\end{array}\right] . \left[\begin{array}{ccc}2&1\\1&3\end{array}\right] =\\= \left[\begin{array}{ccc}4 + 1&2 + 3\\2 + 3&1 + 9\end{array}\right] =\\= \left[\begin{array}{ccc}5&5\\5&10\end{array}\right]$

A² - 5 A + 2 . I =

$= \left[\begin{array}{ccc}5&5\\5&10\end{array}\right] - \left[\begin{array}{ccc}10&5\\5&15\end{array}\right] + \left[\begin{array}{ccc}2&0\\0&2\end{array}\right] =\\\\= \left[\begin{array}{ccc}-3&0\\0&- 3\end{array}\right] = - 3 I$