Jordan and Smith forms of Pascal-related matrices
Callan, David
Original · EN
We present matrix identities which yield respectively the Jordan canonical form of the Pascal matrix Pₙ = (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 Pₙ - Iₙ.
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