Find the adjoint of the given matrix and verify in each case that $A·(adj A)=(adj A)·A=m\left|A\right|·I$.

$\left[\begin{array}{cc}2& 3\\ 5& 9\end{array}\right]$

Find the adjoint of the given matrix and verify in each case that $A·(adj A)=(adj A)=m\left|A\right|·I$.

$\left[\begin{array}{cc}3& -5\\ -1& 2\end{array}\right]$

Find the adjoint of the given matrix and verify in each case that $\mathrm{A}·(\mathrm{adj} \mathrm{A})=(\mathrm{adj} \mathrm{A})·\mathrm{A}=\mathrm{m} \left|\mathrm{A}\right|·\mathrm{I}$.

$\mathrm{A}=\left[\begin{array}{cc}\cos \mathrm{\alpha }& \sin \mathrm{\alpha }\\ \sin \mathrm{\alpha }& \cos \mathrm{\alpha }\end{array}\right]$

Find the adjoint of the given matrix and verify in each case that $A·(adj A)=(adj A)·A=m \left|A\right|·I$.

$\left[\begin{array}{ccc}1& -1& 2\\ 3& 1& -2\\ 1& 0& 3\end{array}\right]$

Find the adjoint of the given matrix and verify in each case that $A·(adj A)=(adj A)·A=m \left|A\right|·I$.

$\left[\begin{array}{ccc}3& -1& 1\\ -15& 6& -5\\ 5& -2& 2\end{array}\right]$

Find the adjoint of the given matrix and verify in each case that $A. (adj A)=(adj A).A=m \left|A\right|.I$.

$\left[\begin{array}{ccc}0& 1& 2\\ 1& 2& 3\\ 3& 1& 1\end{array}\right]$

Find the adjoint of the given matrix and verify in each case that $A.(adj A)=\left(adj A\right).A=m \left|A\right|.I$.

$\left[\begin{array}{ccc}9& 7& 3\\ 5& -1& 4\\ 6& 8& 2\end{array}\right]$

Find the adjoint of the given matrix and verify in each case that $A. (adj A)=(adj A).A=m \left|A\right|.I.$

$\left[\begin{array}{ccc}4& 5& 3\\ 1& 0& 6\\ 2& 7& 9\end{array}\right]$

Find the adjoint of the given matrix and verify in each case that $A. (adj A)=(adj A).A=m \left|A\right|.I$.

$\left[\begin{array}{ccc}\cos \alpha & -\sin \alpha & 0\\ \sin \alpha & \cos \alpha & 0\\ 0& 0& 1\end{array}\right]$