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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) = nA +(n-1)I `

Text Solution

Verified by Experts

The correct Answer is:
B
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