#7391: Warn the user of incorrect results when an approximate ill-conditioned
matrix is used
------------------------------+---------------------------------------------
   Reporter:  jason           |       Owner:  was       
       Type:  defect          |      Status:  new       
   Priority:  major           |   Milestone:  sage-4.2.1
  Component:  linear algebra  |    Keywords:            
Work_issues:                  |      Author:            
   Reviewer:                  |      Merged:            
------------------------------+---------------------------------------------
 This should probably give a warning to the user that the matrix is ill-
 conditioned and you may get wrong results (like you do in this case).

 {{{
 sage: n = matrix([ [-0.3, 0.2, 0.1],
                     [0.2, -0.4, 0.4],
                     [0.1, 0.2, -0.5] ])

 sage: n.echelon_form()

 [ 1.00000000000000 0.000000000000000 0.000000000000000]
 [0.000000000000000  1.00000000000000 0.000000000000000]
 [0.000000000000000 0.000000000000000  1.00000000000000]

 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7391>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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