A study on matrices with hybrid number entries

Y In this paper, we firstly introduce the matrices with hybrid numbers entries. For the sake of compatibility with the literature, we will call this set of matrices as hybrid matrices. These matrices can be regarded as a generalization of complex matrices, dual matrices, and hyperbolic matrices. We then give basic properties of hybrid matrices by writing these matrices as a combination of real matrices. Finally, we examine the real matrix representation of hybrid matrices using the base elements.