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If P is a skew symmetric matrix of order...

If P is a skew symmetric matrix of order 2 and , `X=[(1,4),(2,9)], Y[(9,-4),(-2,1)]` then det `(P^3 XY+ P^5 (X^2Y^2)+P^7 (X^3Y^3)+......+P^2017(X^1008 Y^1008))` is equal to

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