If If $A =\left[\begin{array}{lll}2 & -3 & 4\end{array}\right] \quad B=\left[\begin{array}{l}3 \\ 2 \\ 2\end{array}\right]$
$X =\left[\begin{array}{lll}1 & 2 & 3\end{array}\right] \quad Y=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]$
then AB + XY =
Answer & explanation
Correct answer: option 1
$A =\left[\begin{array}{lll}2 & -3 & 4\end{array}\right] \quad B=\left[\begin{array}{l}3 \\ 2 \\ 2\end{array}\right]$
AB = [2 × 3 + (-3) × 2 + 4 × 2]
= [6 - 6 + 8]
AB = [8]
$X =\left[\begin{array}{lll}1 & 2 & 3\end{array}\right] \quad Y=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]$
XY = [1 × 2 + 2 × 3 + 3 × 4]
= [2 + 6 + 12]
XY = [20]
So AB + XY = [28] → AB + XY is a matrix as well