On Monday, November 26, 2012 2:34:21 PM UTC-5, Ken Levasseur wrote: > > I'm writing up some notes on matrices for my students and ran into this > inconsistency (I think). I start by creating a matrix and augment its > transpose, just to have a non-square matrix: > > A=Matrix([[3,1],[-1,2]]) > B=A.transpose() > C=A.augment(B) > > Now if I ask for the echelon form of C, I get this result, which isn't > fully reduced: > > C.echelon_form() > [1 5 5 3 ] > [0 7 6 5 ] > > > That's fine because > C.parent() > Full MarixSpace of 2 by 4 dense matrices over Integer Ring > > I don't know whether this is useful, but we added C.rref() (reduced row echelon form) a while back for precisely this reason, pedagogically...
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