Canonical form of m-by-2-by-2 matrices over a field of characteristic other than two

TL;DR

This paper establishes a canonical form for m-by-2-by-2 matrices over fields with characteristic not two, simplifying their classification and analysis.

Contribution

It provides a new canonical form for these matrices, extending previous results to a broader class of fields.

Findings

Canonical form for m-by-2-by-2 matrices over specified fields

Simplifies classification of such matrices

Applicable to fields with characteristic not two

Abstract

We give a canonical form of m-by-2-by-2 matrices for equivalence over any field of characteristic not two.