  In this short note, we revisit the work of T. Tao and V. Vu on large
non-hermitian random matrices with independent and identically distributed
entries with mean zero and unit variance. We prove under weaker assumptions
that the limit spectral distribution of sum and product of non-hermitian random
matrices is universal. As a byproduct, we show that the generalized eigenvalues
distribution of two independent matrices converges almost surely to the uniform
measure on the Riemann sphere.
