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The short answer, multiply on both sides of the equation by the inverse of the matrix you need to remove. Just like solving 3x = y for x. Multiply on both sides of the equation by 1/3.

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Q: How do you solve augmented matricies?
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She was augmented by peace and quiet


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My temporay part-time job augmented my income nicely.


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The young lady went to the plastic surgeon to have her chest and buttocks augmented with implants.


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The pastel colors of the sand and stones in the canyon were stunningly augmented by the continually changing hues of the sunrise. I'm not so sure whether they augmented or detracted from the experience.