Question

Find the product, AB, if possible.

Answer 1

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

$\\ \\AB= \left[\begin{array}{cc}3\times0-2\times2&3(-2)-2\times6\\6\times0+0\times2&6(-2)+0\times6\end{array}\right] \\ \\AB= \left[\begin{array}{cc}-4&-18\\0&-12\end{array}\right]$