BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications

ON THE COMMUTATION MATRIX

Yanita Yanita (Department of Mathematics and Data Science, Faculty of Mathematics and Natural Science, Andalas University)
Lyra Yulianti (Department of Mathematics and Data Science, Faculty of Mathematics and Natural Science, Andalas University)

Article Info

Publish Date
19 Dec 2023

Abstract

The commutation matrix is a matrix that transforms any vec matrix , to vec transpose . In this article, three definitions of the commutation matrix are presented in different ways. It is shown that these three definitions are equivalent. Proof of the equivalent uses the properties in the Kronecker product on the matrix. We also gave the example of the commutation matrix using three ways as Moreover, in this study, we investigate the properties of the commutation matrix related to its transpose and the relation between the vec matrix and the vec transpose matrix using the commutation matrix. We have that the transpose and the inverse of the commutation matrix is its transpose.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...