# If $A=\left[\begin{array}{ll}5 & -2 \\ 3 & -2\end{array}\right]$, verify that $A .(\operatorname{adj} . A)=(\operatorname{adj} . A) \cdot A=|A| \cdot I_{2}$

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If $A=\left[\begin{array}{ll}5 & -2 \\ 3 & -2\end{array}\right]$, verify that $A .(\operatorname{adj} . A)=(\operatorname{adj} . A) \cdot A=|A| \cdot I_{2}$

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