Algebraic operations on 4-d matrices

In this thesis, information about matrices, 3-D matrices and 4-D matrices are given. For the definition of algebraic operations on 4-D matrices, 3-D matrices were examined . We have defined 3-D matrices and 4-D matrices and proved that these matrices are commutative groups on addition. As the application area of the defined matrices, we aimed to expand the tomography to 4-D matrices by analyzing the old image and the current image at the same time in Matlab to obtain faster ideas about the change of the diseased region and to minimize the human errors.