#18310: Finite dimensional modules with basis: improved conversions to vectors 
and
matrices
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.7
      Component:  linear algebra     |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Nicolas M. ThiƩry  |    Reviewers:  Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/categories/fin_dim_modules_with_basis_vector_matrix-18310|  
035418cccaab72f73565c50d3e5b6391d294a467
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by jdemeyer):

 Replying to [comment:11 jdemeyer]:
 > And finally a question: is this new code relevant only for combinatorial
 free modules or also "normal" free modules?

 Answering my own question: for normal free modules, it seems that
 `matrix()` just returns `basis_matrix()`. That's an annoying
 inconsistency. I actually see no reason to have this `matrix()` alias for
 `basis_matrix()`.

 Proposal: define `matrix(*args, **kwds)` in free modules which calls
 `basis_matrix()` if no arguments are given (this should be deprecated) and
 calls the modified(*) categories implementation if any argument is
 supplied.

 (*) The `base_ring` of the resulting matrix should be the
 `coordinate_ring`, not the `base_ring` of the free module.

--
Ticket URL: <http://trac.sagemath.org/ticket/18310#comment:13>
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