MatrixPower[Inverse[{{p, -p, 0}, {-(1 - p), 1, -p}, {-(1 - p), 0, 1}}], 2] . {{0}, {0}, {p}}MatrixPower[Inverse[{{p, -p, 0}, {-(1 - p), 1, -p}, {-(1 - p), 0, 1}}], 2] . {{0}, {0}, {p}}

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