2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160648In this note, a new concept called {\em $SDR$-matrix} is proposed, which is an infinite lower triangular matrix obeying the generalized rule of David star. Some basic properties of $SDR$-matrices are discussed and two conjectures on $SDR$-matrices are presented, one of which states that if a matrix is a $SDR$-matrix, then so is its matrix inverse (if exists).7 pages, 1 figureCombinatorics05A10;15A09text