  Using a matrix model, we model the deconfining phase transition at nonzero
temperature for a SU(N) gauge theory at large $N$. At infinite $N$ the matrix
model exhibits a Gross-Witten-Wadia transition. We show that as a consequence,
both the order-disorder and the order-order interface tensions vanish
identically at the critical temperature $T_d$. We estimate how these quantities
vanish in the matrix model as $T \rightarrow T_d$ and as $N \rightarrow
\infty$. The numerical solution of the matrix model suggests possible
non-monotonic behavior in $N$ for relatively small values of $N \sim 5$.
