#8071: Trivial kernel of a matrix over non-fields are broken
------------------------------+---------------------------------------------
   Reporter:  rbeezer         |       Owner:  was       
       Type:  defect          |      Status:  new       
   Priority:  minor           |   Milestone:  sage-4.3.2
  Component:  linear algebra  |    Keywords:            
     Author:                  |    Upstream:  N/A       
   Reviewer:                  |      Merged:            
Work_issues:                  |  
------------------------------+---------------------------------------------
 Matrices with zero rows or zero columns, over rings that are not fields,
 try to construct vector spaces as return values.  The return value should
 be built as a {{{FreeModule}}} which seems to promote the result to a
 vector space when the ring is a field.

 {{{
 sage: A=matrix(Integers(6),[])
 sage: A.right_kernel()
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /home/rob/.sage/temp/wave/21471/_home_rob__sage_init_sage_0.py in
 <module>()

 /sage/four-three/local/lib/python2.6/site-packages/sage/matrix/matrix2.so
 in sage.matrix.matrix2.Matrix.right_kernel (sage/matrix/matrix2.c:12440)()

 /sage/four-three/local/lib/python2.6/site-
 packages/sage/modules/free_module.pyc in VectorSpace(K, dimension, sparse,
 inner_product_matrix)
     400     """
     401     if not K.is_field():
 --> 402         raise TypeError, "Argument K (= %s) must be a field." % K
     403     if not sparse in (True,False):
     404         raise TypeError, "Argument sparse (= %s) must be a
 boolean."%sparse

 TypeError: Argument K (= Ring of integers modulo 6) must be a field.
 }}}

 Patch is in-progress.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8071>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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