Performing Row Operations on a 3×3 Augmented Matrix to Obtain Row-Echelon Form

Perform row operations on the given matrix to obtain row-echelon form.

$$\left[\begin{array}{ccc}1& -3& 4\\ 2& -5& 6\\ -3& 3& 4|3\\ 6& & \\ 6& & \end{array}\right]$$

OpenStax, Algebra and Trigonometry 2e · §11.6 Solving Systems with Gaussian Elimination · Example 9