English

A Determinantal Identity

Combinatorics 2024-08-28 v1

Abstract

We prove an interesting identity for the sum of determinants, which is a generalization of the sum of a geometric progression. The proof is quite long and a number of other identities are proved along the way. Some of the more elementary ones are deferred to another section at the end.

Keywords

Cite

@article{arxiv.2408.14526,
  title  = {A Determinantal Identity},
  author = {T. C. Dorlas},
  journal= {arXiv preprint arXiv:2408.14526},
  year   = {2024}
}
R2 v1 2026-06-28T18:24:23.811Z