Determinants and Inverses of Fibonacci and Lucas Skew Symmetric Toeplitz Matrices
Xiaoting Chen
School of Mathematical Sciences, Shandong Normal University, Jinan 250014, P.R. China and School of Sciences, Linyi University, Linyi 276005, P.R. China.
Zhaolin Jiang *
School of Sciences, Linyi University, Linyi 276005, P.R. China.
Jianmin Wang
School of Sciences, Linyi University, Linyi 276005, P.R. China
*Author to whom correspondence should be addressed.
Abstract
In this paper, determinants and inverses of Fibonacci and Lucas skew symmetric Toeplitz matrices are given by constructing the special transformation matrices.
Keywords: Toeplitz matrix, determinant, inverse, Fibonacci number, Lucas number