  We study Maxwell-Chern-Simons theory in 2 noncommutative spatial dimensions
and 1 temporal dimension. We consider a finite matrix model obtained by adding
a linear boundary field which takes into account boundary fluctuations. The
pure Chern-Simons has been previously shown to be equivalent to the Laughlin
description of the quantum Hall effect. With the addition of the Maxwell term,
we find that there exists a rich spectrum of excitations including solitons
with nontrivial "magnetic flux" and quasi-holes with nontrivial "charges",
which we describe in this article. The magnetic flux corresponds to vorticity
in the fluid fluctuations while the charges correspond to sources of fluid
fluctuations. We find that the quasi-hole solutions exhibit a gap in the
spectrum of allowed charge.
