  We apply the method of determinants to study the distribution of the largest
singular values of large $ m \times n $ real rectangular random matrices with
independent Cauchy entries. We show that statistical properties of the
(rescaled by a factor of $ \frac{1}{m^2\*n^2}$)largest singular values agree in
the limit with the statistics of the inhomogeneous Poisson random point process
with the intensity $ \frac{1}{\pi} x^{-3/2} $ and, therefore, are different
from the Tracy-Widom law. Among other corollaries of our method we show an
interesting connection between the mathematical expectations of the
determinants of complex rectangular $ m \times n $ standard Wishart ensemble
and real rectangular $ 2m \times 2n $ standard Wishart ensemble.
