Another proof of Pell identities by using the determinant of tridiagonal matrix
Meral Ya\c{s}ar, Durmu\c{s} Bozkurt
TL;DR
This paper presents a new proof of Pell identities utilizing the determinant of tridiagonal matrices, calculated through Laplace expansion, offering an alternative mathematical approach.
Contribution
It introduces a novel proof method for Pell identities using determinants of tridiagonal matrices, expanding the mathematical tools available for these identities.
Findings
New proof of Pell identities established
Determinant calculation via Laplace expansion demonstrated
Alternative mathematical approach provided
Abstract
In this paper, another proof of Pell identities is presented by using the determinant of tridiagonal matrices. It is calculated via the Laplace expansion.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Mathematical Theories and Applications · Scientific Research and Discoveries