2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99063We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a direct way scattering amplitudes of 2-dimensional strings, exhibiting the nonlinear equation generating arbitrary N-point tree amplitudes. An even closer connection between the matrix model and the conformal string theory is seen in studies of the symmetry algebra of the system.25 pages (Phyzzx), Brown-HET-874High Energy Physics - TheoryScattering States and Symmetries in the Matrix Model and Two Dimensional String Theorytext