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If B, C are square matrices of order n a...

If `B, C` are square matrices of order n and if `A = B + C`,` BC = CB`,`C^2=0`then which of the following is true for any positive integer N

A

`A^(N+1)=B^(N)(B+(N+1)C)`

B

`A^(N)=B^(N)(B+(N+1)C)`

C

`A^(N+1)=B(B+(N+1)C)`

D

`A^(N+1)=B^(N)(B+(N+2)C)`

Text Solution

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The correct Answer is:
A
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