Chapter 6.1, Problem 14E

To determine

(a)

To check:

Whether the matrix $\left[\begin{array}{ccc}1& 3& -3\\ 0& 1& 5\end{array}\right]$ is in row-echelon form or not.

To determine

(b)

To check:

Whether the matrix $\left[\begin{array}{ccc}1& 3& -3\\ 0& 1& 5\end{array}\right]$ is in reduced row-echelon form or not.

To determine

(c)

To find:

The system of equations so that the matrix $\left[\begin{array}{ccc}1& 3& -3\\ 0& 1& 5\end{array}\right]$ is the augmented matrix of the system of equations.