English

The formula ABA=Tr(AB)A for matrices

Rings and Algebras 2023-06-06 v2

Abstract

We prove that this formula characterizes the square matrices over commutative rings for which all 2 x 2 minors equal zero.

Keywords

Cite

@article{arxiv.2306.00801,
  title  = {The formula ABA=Tr(AB)A for matrices},
  author = {Grigore Calugareanu},
  journal= {arXiv preprint arXiv:2306.00801},
  year   = {2023}
}
R2 v1 2026-06-28T10:53:30.901Z