How to simplify ?



On Tuesday 02 of August 2011 18:18:32 you wrote:
> Hello,
> 
> how to simplify matrix equation 'e2' to obtain back 'e1' ?
> A,B,C are matrices.
> 
> matrix_element_mult: "."$
> e1: A.(B+C);
> /*
>   A . (C + B)
> */
> e2: expand(e1);
> /*
>   A . C + A . B
> */

I found that it can be done by 'subst' and 'collectterms' commands. But with 
this is a problem, because sometimes the order of matrices are not preserved.

e3: subst("*",".",e2);
/*
  A C + A B
*/
e4: collectterms(e3,A);
/*
  A (C + B)
*/
e5: subst(".","*",e4);
/*
  A . (C + B)
*/

Is there any chance that 'collecterms' or 'ratcoef' and other command for 
simplifying matrices equations will be work in future Maxima releases (with 
matrices equations) ? And/Or with 'transpose' as I asked 
http://www.math.utexas.edu/pipermail/maxima/2010/021970.html

I'm still beginner in Maxima and I work with Maxima only from time to time.

Thank you for your time and great work.

Zbigniew