Q-Boson Representation of the Quantum Matrix Algebra $M_q(3)$

{Although q-oscillators have been used extensively for realization of quantum universal enveloping algebras,such realization do not exist for quantum matrix algebras ( deformation of the algebra of functions on the group ). In this paper we first construct an infinite dimensional representation of the quantum matrix algebra $M_q ( 3 )$(the coordinate ring of $GL_q (3))$ and then use this representation to realize $GL_q ( 3 )$ by q-bosons.}