  We test the AdS/CFT correspondence by computing the partition function of
some $\mathcal{N}=2$ quiver Chern-Simons-matter theories on three-sphere. The
M-theory backgrounds are of the Freund-Rubin type with the seven-dimensional
internal space given as Sasaki-Einstein manifolds $Q^{1,1,1}$ or $V^{5,2}$.
Localization technique reduces the exact path integral to a matrix model, and
we study the large-N behavior of the partition function. For simplicity we
consider only non-chiral models which have a real-valued partition function.
The result is in full agreement with the prediction of the gravity duals, i.e.
the free energy is proportional to $N^{3/2}$ and the coefficient matches
correctly the volume of $Q^{1,1,1}$ and $V^{5,2}$.
