About this article
Published Online: Mar 12, 2022
Page range: 151 - 169
Received: May 07, 2021
Accepted: Aug 15, 2021
DOI: https://doi.org/10.2478/auom-2022-0009
Keywords
© 2022 Arzu Cihan Sürekçi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of eigenvalue and eigenvector are studied for commutative elliptic octonion matrices. In this regard, the fundamental theorem of algebra and Gershgorin’s Theorem are proved for commutative elliptic octonion matrices. Finally, some examples related to our theorems are provided.