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

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