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This paper proposes a unified matrix model $$\\bold{\\bbom}=(\\bbZ\\bbU_2\\bbU_2^T\\bbZ^T)^{-1}\\bbZ\\bbU_1\\bbU_1^T\\bbZ^T,$$ where $\\bbU_1$ and $\\bbU_2$ are isometric with dimensions $N\\times N_1$ and $N\\times (N-N_2)$ respectively such that $\\bbU_1^T\\bbU_1=\\bbI_{N_1}$, $\\bbU_2^T\\bbU_2=\\bbI_{N-N_2}$ and $\\bbU_1^T\\bbU_2=0$. 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