Question

If determinant of a is 5 then determinant of adjoint ka is

Answer 1

A(adj A) = |A|(I)

|A(adj A)| = |(|A| I)|

|A| |adj A| = |A|n∗|I|

|A| |adj A| = |A|n

case 1: if |A|≠0

Then we get ,|adj A| = |A|n−1

case 2: if |A|=0

Then,|adj A|=0

And, we again get |adj A| = |A|n−1

Answer 2

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