Chapter 2.2, Problem 16E

To determine

The system of linear equations and its solution corresponding to A and $\text{rref}\left(A\right)$ respectively. The screen capturing the matrix is as follows:

$\boxed{\begin{array}{l}\begin{array}{l}\left[\text{A}\right]\\ \left[\begin{array}{llll}1\hfill & 1\hfill & 1\hfill & -6\hfill \\ 1\hfill & 2\hfill & -1\hfill & -6\hfill \\ 2\hfill & 1\hfill & 4\hfill & 3\hfill \end{array}\right]\end{array}\hfill \\ \begin{array}{l}rref\left(\left[\text{A}\right]\right)\\ \left[\begin{array}{llll}1\hfill & 0\hfill & 3\hfill & 4\hfill \\ 0\hfill & 1\hfill & -2\hfill & -5\hfill \\ 0\hfill & 0\hfill & 0\hfill & 0\hfill \end{array}\right]\end{array}\hfill \end{array}}$