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If A and B are squuare matrices of order...

If A and B are squuare matrices of order 3 such that `|A|=2,|B|=4,,` then `|A(adjB)|=` . . .

A

16

B

8

C

64

D

32

Text Solution

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The correct Answer is:
D
We have, A and B are square matrices of order 3 such that
`|A|=2,|B|=4`
Now, `|A(adj)B|=|A|adjB|" "(because|AB|=|A||B|)`
`|A||B|^(3-1)=|A||B|^(2)=(2)(4)^(2)=32`
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