If $U=[2,-3,4]$, $X=[0,2,3]$, $V=\left[\begin{array}{c}3\\ 2\\ 1\end{array}\right]$ and $Y=\left[\begin{array}{c}2\\ 2\\ 4\end{array}\right]$, then $UV+XY=$

We calculate the products $UV$ and $XY$ using matrix multiplication.$UV=[2,-3,4]\left[\begin{array}{c}3\\ 2\\ 1\end{array}\right]=[(2\times 3)+(-3\times 2)+(4\times 1)]=[6-6+4]=[4]$$XY=[0,2,3]\left[\begin{array}{c}2\\ 2\\ 4\end{array}\right]=[(0\times 2)+(2\times 2)+(3\times 4)]=[0+4+12]=[16]$ Adding the two resulting $1\times 1$ matrices:
$$UV+XY=[4]+[16]=[20]$$