KAJIAN STRUKTUR THE QUATERNION MENGGUNAKAN MATRIKS DENGAN ORDO 2 × 2 DAN ORDO 4 × 4

AMELIA, SIKA and Dewi, Novi Rustiana and Eliyati, Ning (2016) KAJIAN STRUKTUR THE QUATERNION MENGGUNAKAN MATRIKS DENGAN ORDO 2 × 2 DAN ORDO 4 × 4. Undergraduate thesis, Sriwijaya University.

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Abstract

The quaternion is an extension of complex numbers that form a set. The set consists of four subsets which is a ring with addition and multiplication binary operations. Quaternion was firstly described by Sir William Rowan Hamilton (1805-1865) in 1843, an algebrais, astronomer, and physicist from Ireland. There are some general form of quaternions, they are the quaternion form of four dimensional set and the quaternion form of matric. At proving the algebraic structure axioms, quaternion in the form of four dimensional set and quaternion form of matric satisfy all axioms in the field except for the commutative ring against the multiplication operation. It can be concluded that quaternion has skew field algebraic structure

Item Type:	Thesis (Undergraduate)
Uncontrolled Keywords:	The Quaternion, Quaternion in the Matrices Form, Group of Quaternion, Ring of Quaternion, Normed Division Algebra, Skew Field.
Subjects:	Q Science > QA Mathematics > QA101-(145) Elementary mathematics. Arithmetic Q Science > QA Mathematics > QA1-939 Mathematics > QA37.3.1.64 Applied Mathematics
Divisions:	08-Faculty of Mathematics and Natural Science > 44201-Mathematics (S1)
Depositing User:	Mrs Dies Meirita Sari
Date Deposited:	11 Dec 2019 03:14
Last Modified:	11 Dec 2019 03:15
URI:	http://repository.unsri.ac.id/id/eprint/21225

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