submitted on 2024-09-10, 09:53 and posted on 2024-09-10, 09:55authored byAbdur Rehman, Israr Ali Khan, Rukhshanda Anjum, Iftikhar Hussain
In this article, we study the solvability conditions and the general solution of a system of matrix equations involving η-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.