Jordan and Smith forms of Pascal-related matrices

Details Jordan and Smith forms of Pascal-related matrices Jordan and Smith forms of Pascal-related matrices

2002-09-25

arxiv.org/abs/math/0209356v1

Mathematics

Combinatorics

LaTeX, 4 pages

Scientific paper

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.

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