Question

considere as matrizes

A=
1 0
2 -1

e

B=
0 2
1. 3

A matriz A² + B² é:.

Answer 1

$A^2 = A\: . \: A \\ \\ \left[\begin{array}{ccc}1&0\\2&- 1\end{array}\right]\: . \: \left[\begin{array}{ccc}4&5\\8&9\end{array}\right] = \left[\begin{array}{ccc}4&5\\0&1\end{array}\right] \\ \\ \\ B^2 \\ \\ \left[\begin{array}{ccc}0&2\\1&3\end{array}\right]\: . \: \left[\begin{array}{ccc}0&2\\1&3\end{array}\right] = \left[\begin{array}{ccc}2&6\\3&11\end{array}\right]$

$\left[\begin{array}{ccc}2&6\\3&11\end{array}\right] + \left[\begin{array}{ccc}4&5\\0&1\end{array}\right] = \left[\begin{array}{ccc}6&11\\3&12\end{array}\right]$