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Let X=[(0,1,0),(0,0,1),(0,0,0)], Y=alpha...

Let `X=[(0,1,0),(0,0,1),(0,0,0)], Y=alpha I +beta X + gamma X^2
and Z=alpha^2I-alpha beta X+(beta^2-alpha gamma)X^2 , alpha , beta ,gamma in R`. If `Y^-1=[(1/5,-2/5,1/5),(0,1/5,-2/5),(0,0,1/5)]` then
`(alpha - beta + gamma)^(2)` is equal to _____ .

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