Matrix multiplication is determined by orthogonality and trace

Chris Heunen; Dominic Horsman

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Matrix multiplication is determined by orthogonality and trace

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arxiv 1309.6241 v1 pith:C434AQVS submitted 2013-09-24 math.RA

Chris Heunen , Dominic Horsman This is my paper · ORCID

classification math.RA

keywords multiplicationmatrixordinarysametraceassociativebilinearcharacteristic

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Any associative bilinear multiplication on the set of n-by-n matrices over some field of characteristic not two, that makes the same vectors orthogonal and has the same trace as ordinary matrix multiplication, must be ordinary matrix multiplication or its opposite.

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