Sedenionic matrices and their properties

Authors : İsmail Gökhan Gürsoy, Özcan Bektaş

Pages : 721-734

Doi:10.17714/gumusfenbil.1415410

View : 50 | Download : 40

Publication Date : 2024-09-15

Article Type : Research Paper

Abstract :In this article, the matrix algebra is well-known concept in mathematics, has been extended to sedenionic-coefficient matrices using sedenions, which have many applications in recent years. Subsequently, sedenionic-coefficient matrices have been obtained in their real, complex, quaternionic and octonionic forms. Based on these definitions, the arithmetic operations of addition, multiplication, conjugation, transpose and conjugate transpose for sedenionic matrices and their complex, quaternionic and octonionic variations have been established and their algebraic properties scrutinized. Lastly, vector space over real and complex numbers and module structure over quaternions of sedenionic matrices has been searched.
Keywords : Oktoniyon, Sedeniyon, Sedeniyonik matrisler, Kuaterniyon