2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60352In 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 5.11 pagesCombinatorics05A10; 15A33text