Determinant and inverse of a Gaussian Fibonacci skew-Hermitian Toeplitz matrix

In this paper, we consider the determinant and the inverse of the Gaussian Fibonacci skew-Hermitian Toeplitz matrix. We first give the definition of the Gaussian Fibonacci skew-Hermitian Toeplitz matrix. Then we compute the determinant and inverse of the Gaussian Fibonacci skew-Hermitian Toeplitz matrix by constructing the transformation matrices.