Inverse[{{1, -p, -(1 - p), 0, 0}, {0, 1, -(1 - p), -p, 0}, {0, 0, p, 0, -p}, {0, 0, 0, 1 - p, 0}, {0, 0, -(1 - p), 0, 1}}]Inverse[{{1, -p, -(1 - p), 0, 0}, {0, 1, -(1 - p), -p, 0}, {0, 0, p, 0, -p}, {0, 0, 0, 1 - p, 0}, {0, 0, -(1 - p), 0, 1}}]

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