If $A=\left[\begin{array}{ccc}1 & -2 & 3 \\ -4 & 2 & 4\end{array}\right]$ and $B=\left[\begin{array}{cc}1 & -2 \\ 3 & -4 \\ 2 & 4\end{array}\right]$ then product AB is :
Answer & explanation
Correct answer: option 4
$A=\left[\begin{array}{ccc}1 & -2 & 3 \\ -4 & 2 & 4\end{array}\right]$
$B=\left[\begin{array}{cc}1 & -2 \\ 3 & -4 \\ 2 & 4\end{array}\right]$
$A B=\left[\begin{array}{ccc}1 & -2 & 3 \\ -4 & 2 & 4\end{array}\right]\left[\begin{array}{cc}1 & -2 \\ 3 & -4 \\ 2 & 4\end{array}\right]$
$=\left[\begin{array}{cc}1-6+6 & -2+8+12 \\ -4+6+8 & 8-8+16\end{array}\right]$
$=\left[\begin{array}{cc}1 & 18 \\ 10 & 16\end{array}\right]$