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arxiv: math/0011111 · v1 · submitted 2000-11-16 · 🧮 math.CO

Spectral Properties of a Binomial Matrix

classification 🧮 math.CO
keywords matrixfindpropertiesspectralbinombinomialcolumneigenvalues
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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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