Pivot-ing of matrix does not work

[jte]

While the type of operation pivot is doing is certainly entirely appropriate in some problem domains (when you don't have division, or are wanting to avoid it), I would think this too often runs counter to the assumptions (/ teachings) of introductory linear algebra courses (when using the phrase “Gaussian elimination” and the matrices are matrices of real numbers). So it would seem that something should be adjusted here. (At a minimum, perhaps just the help text.) (Some might teach a Gaussian elimination of this form, but many do not, in introductory linear algebra courses.)