Matrix representation of dual quaternions

Jafari M., MERAL M., YAYLI Y.

Gazi University Journal of Science, cilt.26, sa.4, ss.535-542, 2013 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 4
  • Basım Tarihi: 2013
  • Dergi Adı: Gazi University Journal of Science
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.535-542
  • Anahtar Kelimeler: De-Moiver's formula, Dual quaternion, Hamilton operator
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

After a review of some properties of dual quaternions, De Moivre's and Euler's formulas for the matrices associated with these quaternions are studied. In special case, De Moivre's formula implies that there are uncountably many matrices of unit dual quaternions satisfying An= In for n≥3. Also; we give the relation between the powers of matrices of dual quaternions.