Matrix multiplication is determined by orthogonality and trace

Chris Heunen, Clare Horsman

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume439
Issue number12
DOIs
Publication statusPublished - 15 Dec 2013

Fingerprint Dive into the research topics of 'Matrix multiplication is determined by orthogonality and trace'. Together they form a unique fingerprint.

Cite this