EN
New Results on Negative-Indexed Pell Numbers via Matrix Methods
Abstract
In this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative-indexed Pell and Pell–Lucas numbers are derived using the determinants and traces of these matrices. Furthermore, we examine various powers of the constructed matrices and discuss related elementary matrix operations.
Keywords
References
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Details
Primary Language
English
Subjects
Algebra and Number Theory
Journal Section
Research Article
Publication Date
December 30, 2025
Submission Date
April 11, 2025
Acceptance Date
December 20, 2025
Published in Issue
Year 2025 Volume: 46 Number: 4