If A and B are square matrices of the sa...

If A and B are square matrices of the same order, then show that `(AB)^(-1) = B^(-1)A^(-1)`.

A

`AB^(-1)`

B

`A^(-1)B`

C

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

D

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

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The correct Answer is:

D

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