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If A is order 3 square matrix such that ...

If A is order 3 square matrix such that `|A|=2`, then `|"adj (adj (adj A))"|` is

A

512

B

256

C

64

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We know that `|"adj (adj A)"|=|A|^((n-1)^(2))`
`implies |"adj(adj(adj A))"|=|"adj A"|^((n-1)^(2))`
`=|A|^((n-1)^(3))`
`=2^(8)=256`
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