Question

Write the augmented matrix for each system of equations.

Answer 1

The augmented matrix is the coefficient matrix together with the constant vector matrix.

That is we write out only the coefficients of the variables in array together with constants separated by a thin line most of the times.  

$\left[\begin{array}{cccc}5&-4&-6&|-3\\1&-3&1&|-1\\-3&-6&-7&| \:\:\:\:\:1\end{array}\right]$

The above is the augmented matrix for each system of equations.