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If `A=[(1,0),(1,1)]` and `I=[(1,0),(0,1)]` , then which one of the following holds for all `n>=1` (by the principle 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-I)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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MOTION-MATRICES -Exercise - 4 (Level-I)
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