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If B is a non-singular matrix and A is a...

If B is a non-singular matrix and A is a square matrix, then `det (B^(-1) AB)` is equal to

A

`1/(|A|)`

B

`|A|`

C

`|B|`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`|B^(-1) AB|=|B^(-1)||A||B|`
`=|B|^(-1)|A||B|=|A|`
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