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If A={:[(-13,24),(-7,13)]:}, then A^(8) ...

If `A={:[(-13,24),(-7,13)]:}`, then `A^(8)` = _______ .

A

A

B

I

C

O

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`A={:[(-13,24),(-8,13)]:}`
`A^(2){:[(-13,24),(-7,13)]:}{:[(-13,24),(-7,13)]:}`
`{:[(169-168,-312+312),(91-91,-168+169)]:}={:[(1,0),(0,1)]:}`
`A^(2)=I`
`(A^(2))^(4)=I^(4)`
`A^(8)=I`.
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