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adding new video to GE chapter.
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contents/gaussian_elimination/gaussian_elimination.md

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@@ -504,7 +504,10 @@ Well, this analogy breaks down quickly when we start moving beyond 3D, so it is
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That said, it is particularly interesting to see what happens as we plot our matrix during Gaussian elimination for the 3D case.
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<div style="text-align:center">
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<iframe width="560" height="315" src="https://www.youtube.com/embed/ox6FjmooQDA" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
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<video width="560" height="315" autoplay controls loop>
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<source src="res/GE_vis.mp4" type="video/mp4">
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Your browser does not support the video tag.
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</video>
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</div>
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As we can see in the above visualization, the planes wobble about in 3D until they reach row echelon form, where one plane is parallel to the $$x$$ and $$y$$ axes.
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