2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65082We 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.LaTeX, 4 pagesCombinatorics11B65, 11B73, 15A18, 15A21, 15A36text