Question
If $A=\left[\begin{array}{ll}-2 & 4 \\ -1 & 2\end{array}\right]$ then find $A^2$
✓
Answer
$\begin{array}{l}A^2=\left[\begin{array}{ll}-2 & 4 \\ -1 & 2\end{array}\right]\left[\begin{array}{ll}-2 & 4 \\ -1 & 2\end{array}\right] \end{array}$
$ =\left[\begin{array}{ll}4-4 & -8+8 \\ 2-2 & -4+4\end{array}\right] $
$ =\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
$ =\left[\begin{array}{ll}4-4 & -8+8 \\ 2-2 & -4+4\end{array}\right] $
$ =\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
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