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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

5

B

25

C

`-1`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
`B=adj(A)=[(3,1,1),(-6, -2,3),(-4,-3,2)]," Therefore, "adj(B)=[(5,-5,5),(0,10,-15),(10,5,0)]`
`"Now, "|adj B|=[(5,-5,5),(0,10,-15),(10,5,0)]=625" and "|C|=125|A|=125[(1,-1,1),(0,02,-3),(2,5,0)]=625`
`therefore" "(|adj(B)|)/(|C|)=(625)/(625)=1`
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