Exercise 7.2.4

We have

• $L_{1}V=\left[\begin{array}{cccc}\hfill 0\hfill & \hfill 4\hfill & \hfill -4\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 4\hfill & \hfill -4\hfill & \hfill 0\hfill \end{array}\right]$
• $L_{2}V=\left[\begin{array}{cccc}\hfill 0\hfill & \hfill 24\hfill & \hfill -24\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill 24\hfill & \hfill -24\hfill & \hfill 0\hfill \end{array}\right]$
• $L_{1}D=\left[\begin{array}{cccc}\hfill 0\hfill & \hfill 2\hfill & \hfill -2\hfill & \hfill 0\hfill \\ \hfill 2\hfill & \hfill -2\hfill & \hfill 0\hfill & \hfill 0\hfill \end{array}\right]$
• $L_{2}D=\left[\begin{array}{cccc}\hfill 1\hfill & \hfill 9\hfill & \hfill -9\hfill & \hfill -1\hfill \\ \hfill 9\hfill & \hfill -9\hfill & \hfill -1\hfill & \hfill 0\hfill \end{array}\right]$