Spectral Properties of a Binomial Matrix

Mathematics – Combinatorics

Scientific paper

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11 pages

Scientific paper

In this paper we study some further properties of the matrix with entries
binom{i-1}{n-j}. We find the generating function for each row and column, and
we find the eigenvalues and eigenvectors of this matrix. We also find the
spectral properties of this matrix modulo 3 and 5.

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