For square matrices A and B of the same order, we have

For square matrices $A$ and $B$ of the same order, we have $\operatorname{adj}(A B)=$ ?

A. $(\operatorname{adj} A)(\operatorname{adj} B)$

B. $(\operatorname{adj} B)(\operatorname{adj} A)$

C. $|\mathrm{AB}|$

D. none of these