#10793: Matrices can be "constructed" from matrices of wrong dimensions
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   Reporter:  vbraun          |       Owner:  jason, was
       Type:  defect          |      Status:  new       
   Priority:  critical        |   Milestone:  sage-4.6.2
  Component:  linear algebra  |    Keywords:            
     Author:                  |    Upstream:  N/A       
   Reviewer:                  |      Merged:            
Work_issues:                  |  
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Comment(by novoselt):

 Replying to [comment:2 jason]:
 > So it seems that the problem here is that in converting to an element of
 the matrix space, it views the entries of the matrix (or indeed, the
 entries of a nested list as well) as a flattened list:
 >
 > {{{
 > sage: M
 > Full MatrixSpace of 3 by 2 dense matrices over Integer Ring
 > sage: M([[1,2,3],[4,5,6]])
 > [1 2]
 > [3 4]
 > [5 6]
 > }}}
 >
 > So I guess you're saying that MatrixSpace shouldn't flatten the list,
 but instead should throw an error?

 Absolutely! I see no reason why such flattening can make sense, so even if
 there some - I think they should do it explicitly.

 I find it a bit confusing that Sage uses right matrix action, so in the
 description I tend to think that `projection` itself is the matrix of the
 morphism, not its transpose. I suspect I am not the only one who can fall
 into this trap: it is accepted as an input, but some other not-very-
 related matrix is then used in the morphism.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10793#comment:4>
Sage <http://www.sagemath.org>
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