@article{article_1404456, title={The Linear Algebra of the Pell-Lucas Matrix}, journal={Fundamental Journal of Mathematics and Applications}, volume={7}, pages={158–168}, year={2024}, DOI={10.33401/fujma.1404456}, author={Özimamoğlu, Hayrullah and Kaya, Ahmet}, keywords={Pell-Lucas matrix, symmetric Pell-Lucas matrix, Cholesky factorization, majorization}, abstract={In this paper, we introduce the Pell-Lucas and the symmetric Pell-Lucas matrices. The study delves into the linear algebra aspects of these matrices, analyzing their mathematical properties and relationships. We construct decompositions for both the Pell-Lucas matrix and its inverse matrix. We present the Cholesky factorization of the symmetric Pell-Lucas matrices. Furthermore, we derive some valuable identities and bounds for the eigenvalues of these symmetric matrices through the application of majorization notation.}, number={3}, publisher={Fuat USTA}