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

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Answer

$\begin{array}{l} BA =\left[\begin{array}{cc}1 & 3 \\ -2 & 5\end{array}\right]\left[\begin{array}{ll}2 & 4 \\ 3 & 2\end{array}\right] \end{array}$
$=\left[\begin{array}{cc}1.2+33 & 1.4+3.2 \\ -2.2+5.3 & -2.4+5.2\end{array}\right] $
$BA =\left[\begin{array}{cc}11 & 10 \\ 11 & 2\end{array}\right] .$

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