let `P_(1)=[(1,0,0),(0,1,0)

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let `P_(1)=[(1,0,0),(0,1,0),(0,0,1)],P_(2)=[(1,0,0),(0,0,1),(0,1,0)],P_(3)=[(0,1,0),(1,0,0),(0,0,1)],P_(4)=[(0,1,0),(0,0,1),(1,0,0)],P_(5)=[(0,0,1),(1,0,0),(0,1,0)],P_(6)=[(0,0,1),(0,1,0),(1,0,0)]` and `X=underset(k=1)overset(6)sumP_(k)[(2,1,3),(1,0,2),(3,2,1)]P_(k)^(T)` Where `P_(k)^(T)` is transpose of matrix `P_(k)`. Then which of the following options is/are correct?
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