Chapter 6.1, Problem 20E

To determine

(a)

To find:

Whether 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 or not.

To determine

(b)

To check:

Whether 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 or not.

To determine

(c)

To find:

The system of equations so that 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 the augmented matrix.