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If A = [(1,0),(1,1)] and I = [(1,0),(0,1...

If `A = [(1,0),(1,1)] and I = [(1,0),(0,1)]` then which one of the following holds for all `n ge 1`, by the principal of mathematical induction?

A

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

B

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

C

`A^(n) = nA + (n - 1)I`

D

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

Text Solution

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The correct Answer is:
A
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