Matrix Multiplication (with a twist)

*To*: mathgroup at smc.vnet.net*Subject*: [mg68951] Matrix Multiplication (with a twist)*From*: Bruce Colletti <vze269bv at verizon.net>*Date*: Fri, 25 Aug 2006 05:35:03 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

For matrix A = {{e,f},{g,h}} and B = {{a,b},{c,d}}, Mathematica returns their product A.B = {{ae+cf,be+df},{ag+ch,bg+dh}} However, I want to treat multiplication of numeric variables as noncommutative in order to instead obtain the result {{ea+fc, eb+fd},{ga+hc,gb+hd}} How would this be done in v5.2? Thanks. Bruce

**Follow-Ups**:**Re: Matrix Multiplication (with a twist)***From:*"Carl K. Woll" <carlw@wolfram.com>

**Re: Matrix Multiplication (with a twist)***From:*Adriano Pascoletti <pascolet@dimi.uniud.it>