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Matrix A such that A^2=2A-I ,w h e r eI ...

Matrix `A` such that `A^2=2A-I ,w h e r eI` is the identity matrix, the for `ngeq2. A^n` is equal to `2^(n-1)A-(n-1)l` b. `2^(n-1)A-I` c. `n A-(n-1)l` d. `n A-I`

A

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

B

nA-I

C

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

D

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

Text Solution

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The correct Answer is:
A
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