Match List I with List II. "A is a non-singular matrix of order n."

Choose the correct answer from the options given below :

A-IV, B-II, C-III, D-II

The correct answer is Option (2) → A-IV, B-II, C-III, D-II

(A) $|adj\, A|=$|A|^{n-1}$ (IV)

(B) $(adj\, A)^{-1}$

$A\,adj\, A=|A|I$

so $(adj\, A)^{-1}=\frac{A}{|A|}$ (I)

(C) $adj(adj\, A)=|A|^{n-2}A$ (III)

(D) $|2A|=2^n|A|$ (II)