The eigenvectors of the right-justified Pascal triangle
Combinatorics
2007-05-23 v1 Rings and Algebras
Abstract
We find the eigenvalues and eigenvectors of the n by n matrix with (i,j) entry \binom(i-1,n-j), establishing a conjecture of Peele and Stanica. Curiously, the eigenvectors can be chosen to form a matrix which is its own inverse.
Keywords
Cite
@article{arxiv.math/0011081,
title = {The eigenvectors of the right-justified Pascal triangle},
author = {David Callan},
journal= {arXiv preprint arXiv:math/0011081},
year = {2007}
}
Comments
5 pages, LaTeX