Question

y+2z-w=-7
x+3y+w=6
2x-z=3
2y+z+w=4

What is the augmented matrix of the following system of equations?
Do I just place zeros if the variable is not in the equation?

Answer 1

Would this be correct?

\[\left[\begin{matrix}0 & 1 & -1 & 2 & -7 \\ 1 & 3 & 1 & 0 & 6 \\ 2 & 0 & 0 & -1 & 3 \\ 0 & 2 & 1 & 1 & 4\end{matrix}\right]\]
x, y, w, z | b