Jordan and Smith forms of Pascal-related matrices
Combinatorics
2007-05-23 v1
Abstract
We present matrix identities which yield respectively the Jordan canonical form of the Pascal matrix P_n = (i -1 choose j -1)_{1 <= i,j <= n} modulo a prime, the eigenvectors of (i choose j)_{1 <= i,j <= n}, and the Smith normal form of powers of P_n - I_n.
Keywords
Cite
@article{arxiv.math/0209356,
title = {Jordan and Smith forms of Pascal-related matrices},
author = {David Callan},
journal= {arXiv preprint arXiv:math/0209356},
year = {2007}
}
Comments
LaTeX, 4 pages