We formulate N-fold supersymmetry in quantum mechanical matrix models. As an
example, we construct general two-by-two Hermitian matrix 2-fold supersymmetric
quantum mechanical systems. We find that there are two inequivalent such
systems, both of which are characterized by two arbitrary scalar functions, and
one of which does not reduce to the scalar system. The obtained systems are all
weakly quasi-solvable.Comment: 9 pages, no figures; minor revisio