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If P is a 3xx3 matrix such that P^(T)=2P...

If P is a `3xx3` matrix such that `P^(T)=2P+I` whre `P^(T)` is the transpose of P and I is the `3xx3` identify matrix, then thre exists a column matrix `X=[(x),(y),(z)]!=[(0),(0),(0)]` such that

A

`PX=[(0),(0),(0)]`

B

`PX=X`

C

`PX=2X`

D

`PX=-X`

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The correct Answer is:
D
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