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All Journal Matematika: Jurnal Teori dan Terapan BAREKENG: Jurnal Ilmu Matematika dan Terapan Jambura Journal of Mathematics Jurnal Hilirisasi IPTEKS (JHI) Jurnal Matematika UNAND Warta Pengabdian Andalas: Jurnal Ilmiah Pengembangan Dan Penerapan Ipteks
Yanita Yanita
Department Of Mathematics, Faculty Of Mathematic And Natural Science, Andalas University, Kampus Unand Limau Manis, Padang 25163,
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Journal : BAREKENG: Jurnal Ilmu Matematika dan Terapan

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ON THE COMMUTATION MATRIX Yanita Yanita; Lyra Yulianti
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss4pp1997-2010

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.
Co-Authors ., Haripamyu Adib Abdul Majid Admi Nazra Arrival Rince Putri Atikah Maitri Aulia Nabila Azizah Aulia Des Welyyanti Dwi Ratna Dian Sari Eka Purwanti ELIZA SURYA NINGSIH Gizka Yemonica Hazmira Yozza Helmi, Monika Rianti I Made Arnawa Izzati Rahmi HG Jenizon Jenizon LATHIFA SUCI NOVIANA Melati Sri Wahyuni Meza Aprilisa Narwen Narwen Nevi Nurmalasari Nova Noliza Bakar NURUL HIDAYAH Orien Luisa Hura Putri May Windy RATIH ANJELI PUTRI Raxa Ragana Sakta REFI ALKADAR RIDHA FADHILA SANI Riri Lestari Rozi Fauzi Sa'dha Dwi Meitia SELVIA HARVENIA SITI AZHURA Sovia Arma Sri Wahyuni Windi Adrian Sukri Wulan Purnama Sari WULAN SYAFTIRA Yanuar, Ferra Yulianti, Lyra