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 $AB$
✓
Answer
$A B=\left[\begin{array}{cc}0 & 2 \\ 5 & -2\end{array}\right]\left[\begin{array}{cc}1 & -1 \\ 3 & 2\end{array}\right] $
$ =\left[\begin{array}{cc}0+6 & 0+4 \\ 5-6 & -5-4\end{array}\right] $
$ =\left[\begin{array}{cc}6 & 4 \\ -1 & -9\end{array}\right]$
$ =\left[\begin{array}{cc}0+6 & 0+4 \\ 5-6 & -5-4\end{array}\right] $
$ =\left[\begin{array}{cc}6 & 4 \\ -1 & -9\end{array}\right]$
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