2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60326We 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.5 pages, LaTeXCombinatoricsRings and Algebras05A10; 11B39; 11B65; 11C20; 15A33text