Chapter 11.1, Problem 20E

To determine

(a)

If the matrix $\left[\begin{array}{cccccc}1& 3& 0& 1& 0& 0\\ 0& 1& 0& 4& 0& 0\\ 0& 0& 0& 1& 1& 2\\ 0& 0& 0& 1& 0& 0\end{array}\right]$ is in row-echelon form.

To determine

(b)

If the matrix $\left[\begin{array}{cccccc}1& 3& 0& 1& 0& 0\\ 0& 1& 0& 4& 0& 0\\ 0& 0& 0& 1& 1& 2\\ 0& 0& 0& 1& 0& 0\end{array}\right]$ is in reduced row-echelon form.

To determine

(c)

To write:

The system of equations for the matrix $\left[\begin{array}{cccccc}1& 3& 0& 1& 0& 0\\ 0& 1& 0& 4& 0& 0\\ 0& 0& 0& 1& 1& 2\\ 0& 0& 0& 1& 0& 0\end{array}\right]$.