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

I have a question that doesn't relate to a specific problem:

Can any matrix be reduced to a canonical matrix?

2. Relevant equations

the three elementry operations

3. The attempt at a solution

I think that the answer is yes and that the only way that a linear system has no answer is when the lowest non-zero row has the form of: (0,..,0,1)

Is that right?

Thanks.

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# Canonical matrix

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