Definition: (Adjoint or Adjugate of a Square Matrix)

If $A={\left(a_{ij}\right)}_{3\times 3}$ and $\left|A\right|=5$, find $|AdjA|$.

For a singular matrix $\mathrm{A}, \mathrm{A}\left(\mathrm{Adj} \mathrm{A}\right)$ is $=$

If $A=\left(\begin{array}{cc}p& q\\ r& s\end{array}\right)$ then $\mathrm{adj}A$ is

If $A \text{and} B$ are two invertible matrices, then $\mathrm{Adj} \left(AB\right)=$

If $\det A=3$ and $A^{-1}=\left(\begin{array}{cc}3& -1\\ -\frac{5}{3}& \frac{2}{3}\end{array}\right)$ , then $\mathrm{Adj}A=$