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If A and B be two non singular matrices ...

If `A and B` be two non singular matrices and `A^-1 and B^-1` are their respective inverse, then prove that `(AB)^-1=B^-1A^-1.`

A

AB

B

BA

C

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

D

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

Text Solution

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The correct Answer is:
D
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