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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>