On 03/27/2018 03:07 AM, Ralf Stephan wrote:
> Hello,
> I thought I'd try Sage for a casual computation.

My favorite bug from when I was an undergrad...

  sage: B = matrix([[ -3, 2, 1 ],
  ....:             [  2,-4, 4 ],
  ....:             [  1, 2,-5 ]])
  sage: B.rank()
  2
  sage: (0.5*B).rank()
  3
  sage: (2 * 0.5*B).rank()
  3
  sage: (2 * 0.5*B) == B
  True

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