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In this paper we study and classify supersymmetric solutions of
the Matrix theory for the DLCQ of type IIB string theory on $
AdS_{5} \times S^{5} $ (and /or the plane-wave) background, ie the
Tiny Graviton Matrix Theory. It consists of half, quarter and one
eighth BPS solutions and includes configurations with various
geometries and topologies generically of the form of fuzzy
spherical three brane giants and their geometric deformations. In
lack of a classification of such ten dimensional type IIb
supergravity configurations, we focus on the dual ${\cal N}=4 $
four dimensional half, quarter and one eighth BPS operators and
show that they are in one-to-one correspondence with the states of
the same set of quantum numbers in TGMT. This provides further
evidence in support of the Matrix theory.
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