Matrix A such that A^(2)=2A-I, where I i...

Matrix A such that `A^(2)=2A-I`, where I is the identity matrix, then for `n ge 2, A^(n)` is equal to

A

`nA-(n-1)I`

B

`nA-1`

C

`2^(n+1)A-(n-1)I`

D

`2^(n-1)A-I`

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The correct Answer is:

A

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