let A =[a b; c d]Adj(A) =[d -b; -c a]Now A(AdjA)=[a b; c d] * [d -b; -c a] => [8 0; 0 8]=[a b; c d] * [d -b; -c a] => ad-bc=8, -ab+ab=0, dc-dc=0, -bc+ad=8det(A)=|a b; c d|=ad-bc=8