Just recently I solved a problem in two different ways (i.e. two methods that led to an equation of the form Ax=b), and after I'd done that, I wondered if they were merely equivalent. The first thing that popped into my head was to reduce to Row Reduced Echelon Form.
There are probably other ways to show equivalence, but here is one engineer who did use it.
(Albeit for a hobby, not a job).
Sadly, most engineers (including me) do not use on the job over 90% of the math we learn in university. And when I actively did, there were disincentives to do so (e.g. no rewards for using them, culture just doesn't value them, etc).
Just recently I solved a problem in two different ways (i.e. two methods that led to an equation of the form Ax=b), and after I'd done that, I wondered if they were merely equivalent. The first thing that popped into my head was to reduce to Row Reduced Echelon Form.
There are probably other ways to show equivalence, but here is one engineer who did use it.
(Albeit for a hobby, not a job).
Sadly, most engineers (including me) do not use on the job over 90% of the math we learn in university. And when I actively did, there were disincentives to do so (e.g. no rewards for using them, culture just doesn't value them, etc).