Chapter 11.1, Problem 14E

To determine

(a)

Whether the matrix $\left[\begin{array}{ccc}1& 3& -3\\ 0& 1& 5\end{array}\right]$ is in row-echelon form.

To determine

(b)

Whether the matrix $\left[\begin{array}{ccc}1& 3& -3\\ 0& 1& 5\end{array}\right]$ is in reduced row-echelon form.

To determine

(c)

To write:

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