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All Journal Jambura Journal of Mathematics
Eka Purwanti
Department of Mathematics, Faculty of Mathematic and Natural Science, Andalas University, Kampus Unand Limau Manis, Padang 25163,
Mathematics

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The Commutation Matrices of Elements in Kronecker Quaternion Groups Yanita Yanita; Eka Purwanti; Lyra Yulianti
Jambura Journal of Mathematics Vol 4, No 1: January 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1267.652 KB) | DOI: 10.34312/jjom.v4i1.12004

Abstract

This article discusses the commutation matrix in the Kronecker quaternion group; that is, a non-abelian group whose 32 elements are matrices of 4 × 4 size, with entries in the set of complex numbers. The purpose of this paper is to describe the commutation matrices obtained in relation to the matrices in this group. The commutation matrix is a permutation matrix that associates the relationship between the vec and vec of the transpose matrix. Based on the classification of matrices in the Kronecker quaternion group, there are 16 classification of commutation matrices for the matrices in this group.
Co-Authors Yanita Yanita Yulianti, Lyra