Question Convert augmented matrix to system of 3 linear equations in $x$, $y$, and $z$ with constant terms.

Studdy Solution
The third row of the matrix corresponds to the coefficients of the variables in the third equation. We can write this as$$x +3y -7z =11$$So, the system of linear equations corresponding to the given augmented matrix is\begin{align*} 4x +2y -4z &= -2 \\ 2x +16y -39z &=67 \\ x +3y -7z &=11\end{align*}