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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 principle of mathematical induction :

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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