#11553: Matrix morphism additions
------------------------------+---------------------------------------------
   Reporter:  rbeezer         |          Owner:  jason, was  
       Type:  enhancement     |         Status:  needs_review
   Priority:  minor           |      Milestone:  sage-4.7.2  
  Component:  linear algebra  |       Keywords:              
Work_issues:                  |       Upstream:  N/A         
   Reviewer:                  |         Author:  Rob Beezer  
     Merged:                  |   Dependencies:  #11552      
------------------------------+---------------------------------------------

Old description:

> Adds three methods to the matrix morphism class:
>
>   1.  {{{is_bijective()}}}
>   1.  {{{is_identity()}}}
>   1.  {{{inverse()}}}
>
> I did not notice that {{{__invert___}}} via ~ was available by using tab-
> completion, which should explain the last one.
>
> If there is a theme, it is better support for compositions of these
> morphisms.
>
> '''Depends'''
>   1.  #11552
>
> '''Apply:'''
>   1.  [attachment:trac_11553-matrix-morphisms-additions-v2.patch]

New description:

 Adds three methods to the matrix morphism class:

   1.  {{{is_bijective()}}}
   1.  {{{is_identity()}}}
   1.  {{{inverse()}}}

 I did not notice that {{{__invert___}}} via ~ was available by using tab-
 completion, which should explain the last one.

 If there is a theme, it is better support for compositions of these
 morphisms.

 '''Depends'''
   1.  #11552

 '''Apply:'''
   1.  [attachment:trac_11553-matrix-morphisms-additions-v3.patch]

--

Comment(by rbeezer):

 v3 patch makes `is_identity()` more robust, adds `is_zero()` and a test to
 see if two matrix morphisms are equal ''as functions'', not just that they
 have the same representation.

 A few methods are relocated within the file, as well, to group things more
 logically.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11553#comment:6>
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