If \(A\) and \(B\) are nonsingular matrices of order \(3\) then

\(\det (A)=0=\det (B)\) \(AB\) is a nonsingular matrix of order \(4\) \(AB\) is a nonsingular matrix none of these

\(AB\) is a nonsingular matrix

\(\det(AB)=\det(A)\cdot \det(B)\)