Explicit Determinants and Inverses of Skew Circulant and Skew Left Circulant Matrices with the Pell-Lucas Numbers
Jinjiang Yao
School of Mathematics and Statistics, Linyi University, Linyi 276005, P. R. China.
Jixiu Sun *
School of Mathematics and Statistics, Linyi University, Linyi 276005, P. R. China and School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, P.R. China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider the skew circulant and skew left circulant matrices with the Pell-Lucas numbers. We discuss the invertibility of the skew circulant and skew left circulant matrices and present the determinant and the inverse matrix of them by constructing the transformation matrices.
Keywords: Skew circulant matrix, skew left circulant matrix, determinant, inverse, Pell-Lucas number.