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If `A and B` are square matrices of the same order and `A` is non-singular, then for a positive integer `n ,(A^(-1)B A)^n` is equal to

A

`A^(-n)B^(n)A^(n)`

B

`A^(n)B^(n)A^(-n)`

C

`A^(-1)B^(n)A`

D

`n(A^(-1)BA)`

Text Solution

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The correct Answer is:
C
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