Korean J. Math. Vol. 32 No. 4 (2024) pp.673-682
DOI: https://doi.org/10.11568/kjm.2024.32.4.673

A study of negative arithmetic matrix with Fibonacci numbers

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Published: Dec 30, 2024
Keywords:
Arithmetic matrix, negative Pascal matrix, Fibonacci number
Mathematics Subject Classification:
05A10, 11R11

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Jiin Jo
Dept. of Math. Sciences, Hanbat National Univ., Daejeon, Korea

Abstract

 In this work the Pascal matrix $P$ and the negative Pascal matrix $Q$ are studied by means of certain polynomials. We investigate an LU-factorization of $Q$ by $P$, and express the powers $Q^m$ by Fibonacci numbers.



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