SIFAT DAN KARAKTERISTIK NILAI EIGEN SISI KANAN ATAS MATRIKS QUATERNION
DOI:
https://doi.org/10.36761/jt.v2i3.174Keywords:
Nilai eigen, nilai eigen sisi kanan, matriks quaternion.Abstract
Ada beberapa sifat nilai eigen di matriks riil yang berlaku juga di matriks quaternion namun
dengan syarat tertentu. Penelitian ini bertujuan merumuskan sifat dan karakteristik nilai eigen
sisi kanan atas matriks quaternion. Penelitian ini dilakukan dengan cara, pertama
mengumpulkan referensi-referensi yang berkaitan dengan nilai eigen sisi kanan atas matriks
quaternion, kedua melakukan kajian kepustakaan terhadap referensi yang diperoleh, ketiga
merumuskan sifat dan karakteristik nilai eigen sisi kanan atas matriks quaternion. Penelitian
menghasilkan rumusan sifat dan karakteristik nilai eigen sisi kanan atas matriks quaternion.
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Matrices of Quaternions Linear
Algebra and Its Applications
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Eigenvectors for the Quaternion
Matrices Of Degree Two. An. St.
Univ. Ovidius Constanta, Vol. 10(2),
hal 39-44
Hamilton W.R. (2000). On Quaternion or
On A New System of Imaginaries in
Algebra. Massachussets :D.C. Heath
and Company.
Isnarto. (2008). Struktur aljabar.
Yogyakarta: UGM Press.
Morais Joao Pedro dkk. (2012). Real
quaternionic Calculus Handbook.
Birkhause.
Pei S.C dkk. (2001). Efficient
Implementation of Quaternion
Fourier Transform, convolution and
Correlation by 2-D Complex FFT :
IEEE Transactions on signal
Processing, Vol. 49, No. 11, hal:
2783-2797
Sutojo T. N., Bowo N. dkk. (2010). Teori
dan Aplikasi Aljabar Linier &
Matriks. Yogyakarta: Penerbit Andi.
Shoemake K. (2007). Quaternions.
Departement of Computer and
Information science. University of
Pennysylvania. Philadelpia. PA
19104.
Tian Y. (2000). Matrix representations of
octonions and their applications :
Advances in
App. Clifford Algebras 10, No.1, 61-
90,
Published
2017-12-21
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Section
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