The eigenvectors of the right-justified Pascal triangle

Details The eigenvectors of the right-justified Pascal triangle The eigenvectors of the right-justified Pascal triangle

2000-11-13

arxiv.org/abs/math/0011081v1

Mathematics

Combinatorics

5 pages, LaTeX

Scientific paper

We find the eigenvalues and eigenvectors of the n by n matrix with (i,j)
entry \binom(i-1,n-j), establishing a conjecture of Peele and Stanica.
Curiously, the eigenvectors can be chosen to form a matrix which is its own
inverse.

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