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Matrix multiplication is determined by orthogonality and trace

Article ID Journal Published Year Pages File Type
4599860 Linear Algebra and its Applications 2013 5 Pages PDF
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.
Keywords
15A0315A9915A8615A04orthogonalityMatrix multiplicationtrace
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Matrix multiplication is determined by orthogonality and trace
Authors
Chris Heunen, Clare Horsman,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A03
15A99
15A86
15A04
orthogonality
Matrix multiplication
trace
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Symbolic Computation
Expositiones Mathematicae
Finite Fields and Their Applications
Journal of Algebra
Journal of Functional Analysis
Journal of Number Theory
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