Given A= [ ccc 0 & 4 & 6 3 & 0 & -1 ] and B= [ cc 0 & 1 -1 & 2 -5… - Vidyadip

Question

Given $A=\left[\begin{array}{ccc}0 & 4 & 6 \\ 3 & 0 & -1\end{array}\right]$ and $B=\left[\begin{array}{cc}0 & 1 \\ -1 & 2 \\ -5 & -6\end{array}\right]$ find if possible $BA$

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Answer

$\begin{array}{l}B A=\left[\begin{array}{cc}0 & 1 \\ -1 & 2 \\ -5 & -6\end{array}\right]\left[\begin{array}{ccc}0 & 4 & 6 \\ 3 & 0 & -1\end{array}\right] \end{array} $
$ =\left[\begin{array}{ccc}0+3 & 0=0 & 0-1 \\ 0+6 & -4+0 & -6-2 \\ 0-18 & -20-0 & -30+6\end{array}\right] $
$ =\left[\begin{array}{ccc}3 & 0 & -1 \\ 6 & -4 & -8 \\ -18 & -20 & -24\end{array}\right]$

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