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.