Question

Write the system of equations associated with the given augmented matrix. Do not solve

Answer 1

The elements in the first 3 columns are the coefficients of system of equations.

The 4th column are the constants of the system of equations.

This is a system of 3 equations.

Let's write the system using the variables x, y, and z. Shown below:

`\begin{gathered} 1x+1y+0z=3 \\ 0x+4y+1z=-5 \\ 1x+0y-1z=4 \end{gathered}`

Let's simplify and write the equations:

`\begin{gathered} x+y=3 \\ 4y+z=-5 \\ x-z=4 \end{gathered}`