Row Reduction (RREF)
Step through Gaussian elimination one elementary row operation at a time.
A (augmented OK)
1
2
3
4
5
6
7
8
×
1
2
3
4
5
6
7
8
Step 1 / 8
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Timeline
1. Initial matrix
2. R2 → R2 − (2)·R1
3. R3 → R3 − (1)·R1
4. Swap R2 ↔ R3
5. R1 → R1 − (2)·R2
6. R3 → R3 / 2
7. R1 → R1 − (-7)·R3
8. R2 → R2 − (3)·R3
Initial matrix
[
1
2
−
1
3
2
4
0
8
1
3
2
5
]
\begin{bmatrix} 1 & 2 & -1 & 3 \\ 2 & 4 & 0 & 8 \\ 1 & 3 & 2 & 5 \end{bmatrix}
1
2
1
2
4
3
−
1
0
2
3
8
5