Ques: Show that if A is singular then adj A is also singular. Given that I = [1/ det(A)]*A*adj (A) I tried to prove it by assuming adj(A) is nonsingular. so, [1/det(A)]*adj(A) is nonsingular, as well as I. Which makes A to be nonsingular. I feel like I am forcing out this proof. So, do you guys have any good suggestion to this?