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Journals / Sakarya University Journal of Science / 2018 / Cilt: 22 Sayı: 6

3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers

Sinan KARAKAYA
Halim ÖZDEMİR
Tuğba PETİK
Pages
1917–1922
Publication Date
2018-12-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, it has been given some identities related to the matrices found.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the study, it has been developed a method for deriving special matrices of 3x3 dimensions, whose powers are related to Fibonacci and Lucas numbers, and some special matrices have been found via the method developed.
📊
Key Findings & Data:In the study, it has been developed a method for deriving special matrices of 3x3 dimensions, whose powers are related to Fibonacci and Lucas numbers, and some special matrices have been found via the method developed.
💡
Conclusion & Impact:Also, it has been given some identities related to the matrices found.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fibonacci numbers · Lucas numbers · Matrices

Abstract

In the study, it has been developed a method for deriving special matrices of 3x3 dimensions, whose powers are related to Fibonacci and Lucas numbers, and some special matrices have been found via the method developed. Also, it has been given some identities related to the matrices found.

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Cite This Article

KARAKAYA, S., ÖZDEMİR, H., PETİK, T. (2018). 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya University Journal of Science, Cilt: 22 Sayı: 6, 1917–1922. https://ajindex.com/articles/942121

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References (7)

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  4. B. Demirtürk, Fibonacci and Lucas Sums with Matrix Method, International Mathematical Forum, 5(3), 99-107, 2010
  5. R. A. Dunlop, The Golden Ratio and Fibonacci Numbers, World Scientific Publishing, 35-62, 1997
  6. A. M. Meinke, Fibonacci Numbers and Associated Matrices, Thesis Submitted to Kent States University, 2011
  7. T. Mekonnen, On The Fibonnacci Numbers, Thesis Submitted to Addis Ababa University, 2013.