Exact determinants and inverses of generalized Lucas skew circulant type matrices

In this paper, we consider generalized Lucas skew circulant type matrices, including the skew circulant and skew left circulant. Firstly, we discuss the invertibility of generalized Lucas skew circulant matrix and present the determinant and the inverse matrix by constructing the transformation matrices. Furthermore, the invertibility of generalized Lucas skew left circulant matrix is also discussed. The determinant and the inverse matrix of generalized Lucas skew left circulant matrix are obtained respectively.