Fibonacci ve Lucas sayılarının maksimum ve minimum elemanlı matrislerde uygulamaları
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Dosyalar
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Aksaray Üniversitesi Fen Bilimleri Enstitüsü
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Bu çalışmada, elemanları Fibonacci veya Lucas sayılarından oluşan maksimum veya minimum elemanlı matrislerin determinantlarını, terslerini, Hadamard terslerini ve normlarını inceledik. Sonuçları Fibonacci ve Lucas sayılarına bağlı olarak elde ettik. Bu çalışma dört bölümden oluşmaktadır. Giriş bölümü olarak verilen birinci bölümde; amaç belirlenmiştir ve problem tanıtılmıştır. Üzerinde çalışılan problemle ilgili literatür kısaca özetlenmiştir. İkinci bölümde; Maksimum ve minimum elemanlı matrisler ile bazı temel kavramlar tanıtılmıştır. Üçüncü bölümde; elemanları Fibonacci veya Lucas sayılarından oluşan maksimumlu veya minimumlu matrislerin determinantları, normları, tersleri ve Hadamard tersleri incelenmiştir. Dördüncü bölümde ise; sonuç ve öneriler verilmiştir.
In this study, we have investigated the determinants, inverses, Hadamard inverses and norms of the matrices with maximum and minimum elements, which have been formed from Fibonacci and Lucas numbers. We have obtained the results which depend on the Fibonacci and Lucas Numbers. This study consists of four sections. In the first section given as the introduction section; the purpose has been determined and the problem has been introduced. The literature on the studied problem has been briefly summarized. In the second section; some basic concepts and matrices with maximum and minimum element have been introduced. In the third section; the determinants, norms, inverses, and Hadamard inverses of the matrices with maximum or minimum elements which have been formed from Fibonacci and Lucas numbers have been examined. In the fourth section; conclusions and suggestions were given.
In this study, we have investigated the determinants, inverses, Hadamard inverses and norms of the matrices with maximum and minimum elements, which have been formed from Fibonacci and Lucas numbers. We have obtained the results which depend on the Fibonacci and Lucas Numbers. This study consists of four sections. In the first section given as the introduction section; the purpose has been determined and the problem has been introduced. The literature on the studied problem has been briefly summarized. In the second section; some basic concepts and matrices with maximum and minimum element have been introduced. In the third section; the determinants, norms, inverses, and Hadamard inverses of the matrices with maximum or minimum elements which have been formed from Fibonacci and Lucas numbers have been examined. In the fourth section; conclusions and suggestions were given.
Açıklama
Anahtar Kelimeler
Determinant, Ters, Norm, Inverse
