International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 90901, 7 pages

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

Received 5 June 2005; Revised 21 September 2005; Accepted 5 December 2005

Copyright © 2006 Sheng-liang Yang and Zhong-kui Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.