International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 1, Article ID 90901, 7 pages
doi:10.1155/IJMMS/2006/90901

Explicit inverse of the Pascal matrix plus one

Sheng-Liang Yang1 and Zhong-Kui Liu2

1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
2Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, China

Abstract

This paper presents a simple approach to invert the matrix Pn+In by applying the Euler polynomials and Bernoulli numbers, where Pn is the Pascal matrix.