Does every Matrix have a REF?

Question

I'm wondering if anyone here has experience using Wolframalpha?

I can't seem to get a row echelon form (REF) or echelon form, it always does reduced row echelon form (R-REF).

Anybody know how to get this result?

Is the answer maybe that since REF are not unique, and there are a number of ways to get there, they just don't show any possible examples?

Answer 1

I have used Wolframalpha a fair bit, but not really for linear algebra.

Another page I found very useful is the following, for matrix multiplication etc.:
https://matrixcalc.org/en/

It also has a separate page for Gaussian and Gauss-Jordan elimination:
https://matrixcalc.org/en/slu.html