#8276: Make the one(), identity_matrix() and zero_matrix() cached and immutable.
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   Reporter:  hivert          |       Owner:  hivert           
       Type:  defect          |      Status:  needs_review     
   Priority:  major           |   Milestone:  sage-4.3.3       
  Component:  linear algebra  |    Keywords:  One Zero mutable.
     Author:  Florent Hivert  |    Upstream:  N/A              
   Reviewer:                  |      Merged:                   
Work_issues:                  |  
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Comment(by mraum):

 The reason is the categorie framework. MatrixSpaces are vector spaces, so
 they implement zero(). In my oppinion this should absolutely coinside with
 MM(0) since everybody will expect it so do so. Hence, it should be
 mutable.
 one() is implemented seperatedly and is just one = identity_matrix. In my
 oppinion this is a defect, since according to the framework is normally
 coincides with MM(1). If MatrixSpaces was a ring it would be exactly this.

 Could I hear your oppinion? If nobody is opposed I will set this to
 positive review tomorrow evening and I will open a follow up which sets
 one = lambda self : self(1) .

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8276#comment:17>
Sage <http://www.sagemath.org>
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