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If A is a square matrix of order 3 such ...

If `A` is a square matrix of order `3` such that `|A|=5`, then `|Adj(4A)|=`

A

`5^(3)xx4^(2)`

B

`5^(2)xx4^(3)`

C

`5^(2)xx16^(3)`

D

`5^(3)xx16^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `Adj(4A)=4^(2)Adj(A)=16Adj(A)`
`implies|Adj4A|=16^(3)=|AdjA|=16^(3)*5^(2)`
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