English

Algumas luminesc\^encias sobre o jogo Lights Out

History and Overview 2024-03-28 v1

Abstract

The theory behind the Lights Out game has been developed by several authors. The aim of this work is to present some results related to this game using Linear Algebra. We establish a criterion for the solubility of this game in the case of an mm by nn grid, which depends on the invertibility of a matrix, and we present the conditions for this to occur, easily verifiable from mm and nn. Furthermore, we explicitly determine the value of the determinant for a particular case.

Keywords

Cite

@article{arxiv.2403.17967,
  title  = {Algumas luminesc\^encias sobre o jogo Lights Out},
  author = {Adriano Verdério and Izabele D'Agostin and Mari Sano and Patrícia Massae Kitani},
  journal= {arXiv preprint arXiv:2403.17967},
  year   = {2024}
}

Comments

in Spanish language