Sedenionic matrices

In the first part of this thesis, Cayley-Dickson sedenions, which form the basis of the study, are defined and their algebraic proporties are examined. Sedenionic functions are introduced and their regularity conditions are examined. Afterwards, sedenions with complex, quaternionic and octonionic coefficients were investigated. Six type of conjugate represantions of sedenions as complex, quaternonic and octonionic have been studied and matrix representations of sedenions with complex, quaternionic, and octonionic coefficients have been studied by using these conjugate notations and norm proporties. In the second cheapter, matrices with sedenionic coefficients are defined. On the set of sedenionic matrices, addition, substraction, multiplication, conjugate, transpose, conjugate transpose inverse and trace operations were defined and their algebraic proporties were investigated. Vector space and module structures on sedenionic matrices are investigated.