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Article Details

  • Article Code : NWSA-10964-4473
  • Article Type : Araştırma Makalesi
  • Publication Number : 3A0067
  • Page Number : 1-13
  • Doi : 10.12739/NWSA.2015.10.1.3A0067
  • Abstract Reading : 1036
  • Download : 148
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Issue Details

  • Year : 2015
  • Volume : 10
  • Issue : 1
  • Number of Articles Published : 1
  • Published Date : 1.01.2015

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Physical Sciences

Serial Number : 3A
ISSN No. : 1308-7304
Release Interval (in a Year) : 4 Issues

E_?ß^4’DE MATRIS CEBİRİ VE UYGULAMALARI

Mehdi Jafari 1

Hamilton operatorleri ile bir gelişmiş kuaterniyon 4×4 matrisleri ile gösterilmiştir. Bu makalede matrislerin uygulamaları gelişmiş uzay’da verilmiştir. Ayrıca, bu matrislerin kümesi matris çarpım ile altı boyutlu bir Lie grubu oluşturulmuştur.

Keywords
De Moivre’s Formülü, Homothetik Hareket, Lie Grubu, Dönme, Matris,

MATRIX ALGEBRAS IN E_?ß^4 AND THEIR APPLICATIONS

Mehdi Jafari 1

By Hamilton operators, generalized quaternions have been expressed in terms of 4×4 matrices. In this paper, geometric applications of these matrices in generalized 4-space are given. We also show that the set of these matrices with the group operation of matrix multiplication is Lie group of 6-dimension.

Keywords
De Moivre’s Formula, Homothetic Motion, Lie Group, Rotation, Matrix,

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Mehdi Jafari (1) (Corresponding Author)

mj_msc@yahoo.com

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