  A new method is presented for the determination of Ricci Collineations (RC)
and Matter Collineations (MC) of a given spacetime, in the cases where the
Ricci tensor and the energy momentum tensor are non-degenerate and have a
similar form with the metric. This method reduces the problem of finding the
RCs and the MCs to that of determining the KVs whereas at the same time uses
already known results on the motions of the metric. We employ this method to
determine all hypersurface homogeneous locally rotationally symmetric
spacetimes, which admit proper RCs and MCs. We also give the corresponding
collineation vectors.
