Comment #4 on issue 1421 by Vinzent.Steinberg: QRdecomposition fails for  
some matrices
http://code.google.com/p/sympy/issues/detail?id=1421

Yep, probably you are right.

Currently sympy does exact linear algebra (if you use Rational()), so  
QRsolve is
mainly of educational interest. :)
If I recall it correctly, LUsolve does not use full pivoting, so it's also
numerically unstable if used in conjunction with Real().

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