I wonder if there exists an online (free) Gaussian-elimination solver that generates a $\LaTeX$ code describing each steps of the detailed solution, i.e. telling which elementary operation is performed and showing the transformed matrix at each step.
There are many Gaussian-elimination solver (e.g. this one is quite good IMO) but I couldn't find any that produces the associated $\LaTeX$ code.
I know similar stuffs exists (as Latex packages) for long divisions (also polynomial long divisions). See here.
This would be great to generate exercises for students (texing the solution of a non-trivial system is a long and not very funny task).