اگر ${{A}_{۲\times ۲}}$ و $\left| {{A}^{۳}} \right|=-۸$ باشد، حاصل $\left| \frac{۳A}{\left| ۲A \right|} \right|$ کدام است؟
$\begin{align} & \left| \frac{3A}{\left| 2A \right|} \right|={{(\frac{3}{\left| 2A \right|})}^{2}}\,\,\left| A \right|=\frac{9}{\left| 4{{A}^{2}} \right|}\,\left| A \right|=\frac{9}{{{4}^{2}}\left| {{A}^{2}} \right|}\,\left| A \right| \\ & =\frac{9}{{{4}^{2}}\left| A \right|}=\frac{9}{{{4}^{2}}\times (-2)}=\frac{9}{-32} \\ \end{align}$