Answer
$\begin{bmatrix} -17\\-1\end{bmatrix}$
Work Step by Step
Since, the dimensions of matrix $A$ is $2 \times 3$ and that of matrix $B$ is $3 \times 1$. Thus, the number of columns of matrix-$A$ will be same as the number of rows of the matrix-$B$. and so we can take their product $AB$.
$AB=\begin{bmatrix} 3 & -4 &1\\5&0&2\end{bmatrix} \begin{bmatrix} -1 \\4\\2\end{bmatrix} \\=\begin{bmatrix} -3-16+2\\-5+0+4 \end{bmatrix}\\=\begin{bmatrix} -17\\-1\end{bmatrix}$
So, the product of $AB$ is equal to $\begin{bmatrix} -17\\-1\end{bmatrix}$
