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let A=[[1,1],[0,1]] and P=[[cos(pi/6),si...

let `A=[[1,1],[0,1]]` and `P=[[cos(pi/6),sin(pi/6)],[-sin(pi/6),cos(pi/6)]]` and `Q=PAP^T` then `P^T Q^2013 P` (i) `[[1,2013],[0,1]]` (ii) `[[0,2013],[0,1]]` (iii) `[[2013,0],[0,2103]]` (iv) `[[0,2103],[2013,0]]`

A

`{:[(1,2013),(0,1)]:}`

B

`{:[(0,2013),(0,1)]:}`

C

`{:[(2013,0),(0,2013)]:}`

D

`{:[(0,2013),(2013,0)]:}`

Text Solution

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The correct Answer is:
A
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