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7.3: Gauss Jordan Elimination and the Row Echelon Form

Last updated

Sep 17, 2022
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- 7.2: Introduction to Gauss Jordan Elimination
- 7.4: Gauss Jordan Practice

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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:

$\begin{split} \left[ \begin{matrix} 1 & 2 & 0 & 3 & 0 & 4 \\ 0 & 0 & 1 & 2 & 0 & 7 \\ 0 & 0 & 0 & 0 & 1 & 6 \\ 0 & 0 & 0 & 0 & 0 & 0 \end{matrix} \right] \end{split} \nonumber$

$\begin{split} \left[ \begin{matrix} 1 & 2 & 0 & 0 & 4 \\ 0 & 0 & 1 & 0 & 6 \\ 0 & 0 & 0 & 1 & 5 \end{matrix} \right] \end{split} \nonumber$

Question

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

Question

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