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Dergiler / 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
Sayfa
1917–1922
Yayın Tarihi
2018-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:Also, it has been given some identities related to the matrices found.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (7)

  1. T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley Interscience, 2001
  2. R. C. Johnson, Fibonacci Numbers and Matrices, Durham University, 2009
  3. S. Vajda, Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications, Ellis Horwood Limited Publ., 9-62, 1989
  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.