Abstract: In this paper, we consider the skew circulant and skew left circulant matrices with the Fibonacci and Lucas numbers. Firstly, we discuss the invertibility of the skew circulant matrix and present the determinant and the inverse matrix by constructing the transformation matrices. Furthermore, the invertibility of the skew left circulant matrices are also discussed. We obtain the determinants and the inverse matrices of the skew left circulant matrices by utilizing the relation between skew left circulant matrices and skew circulant matrix, respectively.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Yun Gao, Zhaolin Jiang, Yanpeng Gong, "On the Determinants and Inverses of Skew Circulant and Skew Left Circulant Matrices with Fibonacci and Lucas Numbers," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Yun Gao, Zhaolin Jiang, Yanpeng Gong. On the Determinants and Inverses of Skew Circulant and Skew Left Circulant Matrices with Fibonacci and Lucas Numbers.
WSEAS Transactions on Mathematics. 2013;12:-.