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If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and...

If `A=[{:(1,-1,1),(0,2,-3),(2,1,0):}]` and `B=(adjA)` and `C=5A`, then find the value of `(|adjB|)/(|C |)`

A

`25`

B

`2`

C

`1`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `(|adjB|)/(|C |)=(|adj(adjA)|)/(|5A|)=(|A|^((3-1)^(2)))/(5^(3)|A|)=(|A|^(3))/(125)`
Now, `|A|=5`
`:. (|adjB|)/(|C |)=1`
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