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Matrix Multiplication (with a twist)


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


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