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. `2^(n-1)A-(n-1)l`
b. `2^(n-1)A-I`
c. `n A-(n-1)l`
d. `n A-I`

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