  The exact value of the Lyapunov exponents for the random matrix product $P_N
= A_N A_{N-1}...A_1$ with each $A_i = \Sigma^{1/2} G_i^{\rm c}$, where $\Sigma$
is a fixed $d \times d$ positive definite matrix and $G_i^{\rm c}$ a $d \times
d$ complex Gaussian matrix with entries standard complex normals, are
calculated. Also obtained is an exact expression for the sum of the Lyapunov
exponents in both the complex and real cases, and the Lyapunov exponents for
diffusing complex matrices.
