ALGUMAS LUMINESCÊNCIAS SOBRE O JOGO LIGHT OUT

Mari Sano; Adriano Verdério; Izabele D’Agostin; Patrícia Massae Kitani

doi:10.34179/revisem.v9i4.18897

SOME LUMINESCENCES ABOUT THE GAME LIGHT OUT

Authors

Mari Sano Universidade Tecnológica Federal do Paraná-UTFPR https://orcid.org/0000-0003-3822-917X
Adriano Verdério Universidade Tecnológica Federal do Paraná-UTFPR https://orcid.org/0000-0002-8259-6260
Izabele D’Agostin Escola Estadual Trancredo de Almeida Neves https://orcid.org/0000-0001-6870-3245
Patrícia Massae Kitani Universidade Tecnológica Federal do Paraná-UTFPR https://orcid.org/0000-0003-1557-6486

DOI:

https://doi.org/10.34179/revisem.v9i4.18897

Abstract

The theory behind the Lights Out game has been developed by several authors. The aim of this paper is to present some new results related to this game using linear algebra. We establish a criterion for the solvability of this game in the case of an m by n grid, which depends on whether a certain matrix is invertible, and we present the conditions for this to occur, which can be easily verified from m and n. In addition, we explicitly determine the value of the determinant for a particular case.

Keywords: Block tridiagonal matrix, Kronecker product, determinant, Lights Out game.

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Published

2024-12-20

How to Cite

Sano, M., Verdério, A., D’Agostin, I., & Kitani, P. M. (2024). SOME LUMINESCENCES ABOUT THE GAME LIGHT OUT. Revista Sergipana De Matemática E Educação Matemática, 9(4), 27–44. https://doi.org/10.34179/revisem.v9i4.18897

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Issue

Vol. 9 No. 4 (2024): Revista Sergipana de Matemática e Educação Matemática

Section

Mathematics

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