#### Answer

$\begin{bmatrix} 2 & 1 & 4 & | & -4 \\ 3 & 0 & 1 & | & 1 \\ 4 & 3 & 1 & | & 8 \end{bmatrix}$

#### Work Step by Step

Recalling the procedure of writing a matrix from a system of equations, we can write the matrix for the given system as:
$\begin{bmatrix} 2 & 1 & 4 & | & -4 \\ 3 & 0 & 1 & | & 1 \\ 4 & 3 & 1 & | & 8 \end{bmatrix}$