2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121050We resolve a 25 year old problem by showing that The Paving Conjecture is equivalent to The Paving Conjecture for Triangular Matrices.Functional Analysis47A20, 47B99, 46B07The paving conjecture is equivalent to the paving conjecture for triangular matricestext