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Question

If kϵR0, then det{adj(kIn)} is equal to

A
kn+1
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B
kn(n1)
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C
kn
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D
k
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Solution

The correct option is B kn(n1)
We know that
adjA=|A|n1
Here, |adj(kIn)|=|kIn|n1
=(kn|I|)n1
=kn(n1)

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