Let A be a square matrix of order n and B be its adjoint, then for a scalar K, |AB+KIn| is ___
(|A|+K)n−2
(|A|+K)n
(|A|+K)n−1
None of these
We have AB = A(adj A) =|A|In ∴ AB+KIn=|A|In+KIn⇒AB+KIn=(|A|+K)In⇒|AB+KIn|=|(|A|+K)In|=(|A|+K)n