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If A=((1,2),(0,1)),P=((costheta, sinthet...

If `A=((1,2),(0,1)),P=((costheta, sintheta),(-sintheta, costheta)),Q=P^(T)AP`, find `PQ^(2014)P^(T)`: (a) `((1,2^(2014)),(0,1))` (b) `((1,4028),(0,1))` (c) `(P^(T))^(2013)A^(2014)P^(2013)` (d)`P^(T)A^(2014)P`

A

`((1,2^(2014)),(0,1))`

B

`((1,4028),(0,1))`

C

`(P^(T))^(2013)A^(2014)P^(2013)`

D

`P^(T)A^(2014)P`

Text Solution

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The correct Answer is:
B
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