2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/192948We consider the supersymmetric quantum mechanics (SUSY QM) with three- component normal modes for the Bogomol'nyi-Prasad-Sommerfield (BPS) states. An explicit form of the SUSY QM matrix superpotential is presented and the corresponding three-component bosonic zero-mode eigenfunction is investigated.17 pages, no figure. Paper accepted for publication in Journal of Physics A: Mathematical and TheoreticalHigh Energy Physics - TheoryOn Matrix Superpotential and Three-Component Normal Modestext