https://file.aiquickdraw.com/mathbot/file/1727025175752qzh1x85h.jpg

The matrix you provided is:

\[
A = \begin{bmatrix}
0 & 3 & -6 & 4 & -5 \\
1 & -3 & -7 & 8 & 9 \\
0 & 6 & -5 & -9 & 6 \\
0 & 3 & -9 & 12 & -9 \\
\end{bmatrix}
\]

You are asked to reduce this matrix into **Row Echelon Form** (REF) and then into **Reduced Row Echelon Form** (RREF).

### Steps for converting to Row Echelon Form (REF):
1. **Pivoting**: The goal is to get leading 1s in each row (if possible) and zeros below each pivot position.

Let's start by performing elementary row operations to achieve this.

I'll calculate the Row Echelon Form first.

Convert the following matrix into Reduced Row Echelon Form (RREF): A = [[0, 3, -6, 4, -5], [1, -3, -7, 8, 9], [0, 6, -5, -9, 6], [0, 3, -9, 12, -9]]

Learn how to convert a matrix into its Reduced Row Echelon Form (RREF) with this step-by-step solution. This problem covers key linear algebra concepts such as elementary row operations, Gaussian elimination, and Gauss-Jordan elimination. Suitable for university-level students.

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