  We consider two dimensional supergravity coupled to $\hat c=1$ matter. This
system can also be interpreted as noncritical type 0 string theory in a two
dimensional target space. After reviewing and extending the traditional
descriptions of this class of theories, we provide a matrix model description.
The 0B theory is similar to the realization of two dimensional bosonic string
theory via matrix quantum mechanics in an inverted harmonic oscillator
potential; the difference is that we expand around a non-perturbatively stable
vacuum, where the matrix eigenvalues are equally distributed on both sides of
the potential. The 0A theory is described by a quiver matrix model.
