  The dependence of the Gaussian input information rate on the line-of-sight
(LOS) matrix in multiple-input multiple-output coherent Rician fading channels
is explored. It is proved that the outage probability and the mutual
information induced by a multivariate circularly symmetric Gaussian input with
any covariance matrix are monotonic in the LOS matrix D, or more precisely,
monotonic in D'D in the sense of the Loewner partial order. Conversely, it is
also demonstrated that this ordering on the LOS matrices is a necessary
condition for the uniform monotonicity over all input covariance matrices. This
result is subsequently applied to prove the monotonicity of the isotropic
Gaussian input information rate and channel capacity in the singular values of
the LOS matrix. Extensions to multiple-access channels are also discussed.
