  Sun and Farooq [2] showed that random samples can be efficiently drawn from
an arbitrary n-dimensional hyperellipsoid by transforming samples drawn
randomly from the unit n-ball. They stated that it was a straightforward to
show that, given a uniform distribution over the n-ball, the transformation
results in a uniform distribution over the hyperellipsoid, but did not present
a full proof. This technical note presents such a proof.
