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We generalize the dimensionally reduced Yang-Mills matrix model by adding d=1Chern-Simons term and terms for a bosonic vector. The coefficient, \kappa ofthe Chern-Simons term must be integer, and hence the level structure. We showat the bottom of the Yang-Mills potential, the low energy limit, only thelinear motion is allowed for D0 particles. Namely all the particles alignthemselves on a single straight line subject to \kappa^2/r^2 repulsivepotential from each other. We argue the relevant brane configuration to beD0-branes in a D4 after \kappa of D8's pass the system.Comment: 1+6 pages, No figure, LaTeX; Minor changes; To appear in Class.  Quant. Gra

On a matrix model of level structure