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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
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 $2 \times 2$ findb $BA$
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Answer

$B A=\left[\begin{array}{cc}1 & -1 \\ 3 & 2\end{array}\right]\left[\begin{array}{cc}0 & 2 \\ 5 & -2\end{array}\right] $
$ =\left[\begin{array}{cc}0-5 & 2+2 \\ 0+10 & 6-4\end{array}\right]  $
$ =\left[\begin{array}{cc}-5 & 4 \\ 10 & 2\end{array}\right]$

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