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

Old description:

> {{{
> sage: A = MatrixSpace(ZZ, 3)
> sage: A.one()
> [1 0 0]
> [0 1 0]
> [0 0 1]
> sage: A.one()[1,2] = 1
> sage: A.one()
> [1 0 0]
> [0 1 1]
> [0 0 1]
> }}}
> Indeed it is mutable an cached !

New description:

 After I found the following bug, it was decided on sage-devel that in a
 {{{MatrixSpace}}} the methods {{{.one()}}}, {{{.identity_matrix()}}} and
 {{{.zero_matrix()}}} should returns a cached immutable matrix. I had to
 update sage's library accordingly.

 {{{
 sage: A = MatrixSpace(ZZ, 3)
 sage: A.one()
 [1 0 0]
 [0 1 0]
 [0 0 1]
 sage: A.one()[1,2] = 1
 sage: A.one()
 [1 0 0]
 [0 1 1]
 [0 0 1]
 }}}

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8276#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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