’DE MATRIS CEBİRİ VE UYGULAMALARI
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
Anahtar Kelimeler:
De Moivre’s Formülü, Homothetik Hareket
MATRIX ALGEBRAS IN Eαβ^4 AND THEIR APPLICATIONS
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 Eαβ^4 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.,
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- Başlangıç: 2009
- Yayıncı: E-Journal of New World Sciences Academy