We construct a set of Pascal-like infinite matrices that contains the generalized Delannoy arrays associated with weighted lattice paths. From each of our Delannoy matrices we obtain several Schröder arrays. We construct the matrices combining two Pascal translation matrices and a diagonal matrix, and we find explicit formulas for the entries of the matrices, and recurrence relations and generating functions for the central generalized Delannoy and Schröder numbers. We also express the entries of all the generalized Delannoy matrices in terms of Jacobi polynomials.