  This paper studies the moments for the spectral norm of random matrices with
dependent entries. In particular, we consider a random matrix $BA$, where $A$
is a random matrix with independent mean zero subexponential entries, and $B$
is a deterministic matrix. We show a sharp moment bound for the spectral norm
of an $m\times n$ matrix $BA$ based on a comparison theorem due to Lata{\l}a,
van Handel and Youssef. Applying this result, we prove an estimate of the
smallest singular value of an $N\times n$ random subexponential matrix.
