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Matrices — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsMatrices1 Mark
Question
Given $A=\left[\begin{array}{ll}4 & 1 \\ 2 & 3\end{array}\right]$ and $B=\left[\begin{array}{cc}1 & 0 \\ -2 & 1\end{array}\right]$ Find $A B$
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Answer

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

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