Updates:
        Status: Accepted
        Cc: christian.muise
        Labels: Matrices Assumptions

Comment #1 on issue 2020 by asmeurer: Symbols & Matrices
http://code.google.com/p/sympy/issues/detail?id=2020

For eq1, yes, I think we should add support for that. As the third thing suggests, the first step will be to add support for Matrices in simplify. So if you want to help implement this (I am pretty sure) that is where you should start.

For eq2, it's an assumptions issue.  if you do

transpose = Function('transpose')
transpose(a)*b

it is right. But simplify doesn't make a and b non-commutative again just because they were set to be so above. Christian, does the new assumptions model fix this?

By the way, should transpose actually be a built in function for use with symbolic matrices?

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