  We propose that type 0B string theory in two dimensions admits a dual
description in terms of a one dimensional bosonic matrix model of a hermitian
matrix. The potential in the matrix model is symmetric with respect to the
parity-like Z_2 transformation of the matrix. The two sectors in the theory,
namely the NSNS and RR scalar sectors correspond to two classes of operators in
the matrix model, even and odd under the Z_2 symmetry respectively. We provide
evidence that the matrix model successfully reconstructs the perturbative
S-matrix of the string theory, and reproduces the closed string emission
amplitude from unstable D-branes. Following recent work in two dimensional
bosonic string, we argue that the matrix model can be identified with the
theory describing N unstable D0-branes in type 0B theory. We also argue that
type 0A theory is described in terms of the quantum mechanics of
brane-antibrane systems.
