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Let, P=({:(cos""pi/4, -sin""pi/4),(sin""...

Let, `P=({:(cos""pi/4, -sin""pi/4),(sin""pi/4, cos""pi/4):}) " and " x=({:(1/sqrt(2)),(1/sqrt(2)):})`. Then `P^(3)X` is equal to-

A

`({:(0),(1):})`

B

`({:(-1/sqrt(2)),(1/sqrt(2)):})`

C

`({:(-1),(0):})`

D

`({:(-1/sqrt(2)),(-1/sqrt(2)):})`

Text Solution

Verified by Experts

The correct Answer is:
C
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