Matrix multiplication is determined by orthogonality and trace

Chris Heunen, Clare Horsman

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)4130-4134
Number of pages5
JournalLinear algebra and its applications
Issue number12
Publication statusPublished - 15 Dec 2013

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