Does every Matrix have a REF?

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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?

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1 Answer

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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.:

It also has a separate page for Gaussian and Gauss-Jordan elimination:

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