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Let P be a square matrix such that P^2=I...

Let `P` be a square matrix such that `P^2=I-P`. For `alpha , beta , gamma, delta in IN` ,if `P^(alpha)+P^(beta)=gamma I - 29P` and `P^(alpha)-P^(beta)=deltaI-13P` , then `alpha+beta+gamma-delta` is equal to

A

18

B

24

C

40

D

22

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