(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I just don't understand how one chooses a free variable when using Gaussian elimination and back substitution to solve linear equations

2. Relevant equations

3. The attempt at a solution

One particular example here is provided (already in row echelon form)

-2 -2 0 [] 0

0 0 0 [] 0

0 0 0 [] 0

The free variables to this particular example is x_2 and x_3. I'm lost what method does one use to arrive to this conclusion?

Thanks for the help.

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# Homework Help: Trouble understanding how to choose a free variable (linear algebra)

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