If A= [ ll 2 & 4 3 & 2 ] and B= [ cc 1 & 3 -2 & 5 ] find AB. - Vidyadip

Question

If $A=\left[\begin{array}{ll}2 & 4 \\ 3 & 2\end{array}\right]$ and $B=\left[\begin{array}{cc}1 & 3 \\ -2 & 5\end{array}\right]$ find $AB.$

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Answer

$\begin{array}{l} AB =\left[\begin{array}{ll}2 & 4 \\ 3 & 2\end{array}\right]\left[\begin{array}{cc}1 & 3 \\ -2 & 5\end{array}\right]\end{array} $
$=\left[\begin{array}{ll}2.1+4 \cdot(-2) & 2.3+4.5 \\ 3.1+2 \cdot(-2) & 3.3+2.5\end{array}\right]$
$AB =\left[\begin{array}{ll}-6 & 26 \\ -1 & 19\end{array}\right]$

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