NILAI EIGEN MATRIKS QUATERNION

Susi Ekawati

Abstract


Abstrak

Menurut Zhang (2007), jika  adalah matriks quaternion dengan  dan  adalah nilai eigen kiri dari , maka . Dalam penelitian ini akan ditunjukkan tiga hal. Pertama, jika  adalah matriks quaternion dengan  dan  adalah nilai eigen kiri dari  maka .

Kata Kunci : Quaternion, Determinan Cayley, Nilai Eigen Kiri

 

Abstract

According to Zhang (2007), if  is a quaternion matrix with  and  is the left eigenvalue of , then . In this paper will be shown, if  is a quaternion matrix with  and  is the left eigenvalue of , then .

Keywords : Quaternion, Cayley Determinant, Left Eigenvalue


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DOI: http://dx.doi.org/10.20956/jmsk.v16i1.5943

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DEPARTMENT OF MATHEMATICS,

FACULTY OF MATHEMATICS AND NATURAL SCIENCES, 

HASANUDDIN UNIVERSITY,

MAKASSAR, INDONESIA

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