  In this paper, we consider a scalar-help-vector source coding problem for
$L+1$ correlated Gaussian memoryless sources. We deal with the case where $L$
encoders observe noisy linear combinations of $K$ correlated Gaussian scalar
sources which work as partial side information at the decoder, while the
remaining one encoder observes a vector Gaussian source which works as the
primary source we need to reconstruct. We determine an outer region for the
case where the $L$ sources are conditionally independent of the vector source.
We also show an inner region for a special case when the vector source can be
regard as $K$ scalar sources.
