Question
If $A=\left[\begin{array}{cc}0 & 2 \\ 5 & -2\end{array}\right], B=\left[\begin{array}{cc}1 & -1 \\ 3 & 2\end{array}\right]$ and $I$ is a unit matrix of order $2 \times 2$ find $A^2$
✓
Answer
$\begin{array}{l}A^2=\left[\begin{array}{cc}0 & 2 \\ 5 & -2\end{array}\right]\left[\begin{array}{cc}0 & 2 \\ 5 & -2\end{array}\right] \end{array} $
$ =\left[\begin{array}{cc}0+10 & 0-4 \\ 0-10 & 10+4\end{array}\right] $
$ =\left[\begin{array}{cc}10 & -4 \\ -10 & 14\end{array}\right]$
$ =\left[\begin{array}{cc}0+10 & 0-4 \\ 0-10 & 10+4\end{array}\right] $
$ =\left[\begin{array}{cc}10 & -4 \\ -10 & 14\end{array}\right]$
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