Matrix and vector models in the strong coupling limit

We consider matrix and vector models in the large-$N$ limit: we study $N\times N$ matrices and vectors with $N^2$ components. In the case of a zero-dimensional model $(D=0)$, we prove that in the strong coupling limit $(g\to\infty)$, the partition functions of the two models coincide up to a coefficient. This also holds for $D=1$.