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We develop a matrix model to describe bilayered quantum Hall fluids for aseries of filling factors. Considering two coupling layers, and starting from acorresponding action, we construct its vacuum configuration at\nu=q_iK_{ij}^{-1}q_j, where K_{ij} is a 2\times 2 matrix and q_i is a vector.Our model allows us to reproduce several well-known wave functions. We showthat the wave function \Psi_{(m,m,n)} constructed years ago by Yoshioka,MacDonald and Girvin for the fractional quantum Hall effect at filling factor{2\over m+n} and in particular \Psi_{(3,3,1)} at filling {1\over 2} can beobtained from our vacuum configuration. The unpolarized Halperin wave functionand especially that for the fractional quantum Hall state at filling factor{2\over 5} can also be recovered from our approach. Generalization to more than2 layers is straightforward.Comment: 14 pages, minor changes in introduction and references added,  published in JP

A matrix model for bilayered quantum Hall systems