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arXiv math/0209356math.CO
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Jordan and Smith forms of Pascal-related matrices

David Callan

英文摘要:

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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