#7522: Implement orthogonal complement in vector spaces
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       Reporter:  kcrisman                       |         Owner:  was          
      
           Type:  enhancement                    |        Status:  needs_work   
      
       Priority:  major                          |     Milestone:  sage-5.9     
      
      Component:  linear algebra                 |    Resolution:               
      
       Keywords:                                 |   Work issues:               
      
Report Upstream:  N/A                            |     Reviewers:  Karl-Dieter 
Crisman
        Authors:  Jason Grout, Travis Scrimshaw  |     Merged in:               
      
   Dependencies:                                 |      Stopgaps:               
      
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Comment (by nbruin):

 Replying to [comment:12 kcrisman]:
 > Then what do you suggest?  Since this is primarily useful for
 pedagogical purposes, perhaps we can just raise an error outside of QQ,
 RR, and friends.

 Even there it's only wrt the standard inner product (i.e., if your basis
 is orthogonal) that this complement is ''orthogonal''.

 Wouldn't just `complement` work? I think that's a reasonably established
 term for direct cofactor.

 And indeed, you should probably only offer this for vector spaces, i.e.,
 when the base ring is a field.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7522#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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