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Mathematics LibreTexts

7.3: Gauss Jordan Elimination and the Row Echelon Form

( \newcommand{\kernel}{\mathrm{null}\,}\)

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from IPython.display import YouTubeVideo
YouTubeVideo("v6RstFsrTJY",width=640,height=360, cc_load_policy=True)
from IPython.display import YouTubeVideo
YouTubeVideo("v6RstFsrTJY",width=640,height=360, cc_load_policy=True)

The above video left out a special case for Reduced Row Echelon form. There can be non-zero elements in columns that do not have a leading one. For example, All of the following are in Reduced Row Echelon form:

[120304001207000016000000]

[120040010600015]

Question

What are the three steps in the Gauss-Jordan Elimination algorithm?


This page titled 7.3: Gauss Jordan Elimination and the Row Echelon Form is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Dirk Colbry via source content that was edited to the style and standards of the LibreTexts platform.

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