Hello! I need to prove the following:
1.
rank(Adj(A)) =

n if rank(A) = n
1 if rank(A) = n-1
0 if rank(A) <= n-2

--------------------
2. (Adj(A)) = (det(A))^(n-2)*A

3. det(Adj(A)) = (det(A))^(n-1)

4. Adj(A^T) = Adj(A)^T


Thank you!