Chapter 3.6, Problem 8PP

By inspection, obtain the node-voltage equations for the circuit in Fig. 3.28.

Answer:

$\left[\begin{array}{llll}1.25\hfill & -0.2\hfill & -1\hfill & 0\hfill \\ -0.2\hfill & 0.2\hfill & 0\hfill & 0\hfill \\ -1\hfill & 0\hfill & 1.25\hfill & -0.25\hfill \\ 0\hfill & 0\hfill & -0.25\hfill & 1.25\hfill \end{array}\right]\left[\begin{array}{l}{v}_1\hfill \\ v_2\hfill \\ v_3\hfill \\ v_4\hfill \end{array}\right]=\left[\begin{array}{r}\hfill 0\\ \hfill 5\\ \hfill -3\\ \hfill 2\end{array}\right]$

Figure 3.28

For Practice Prob. 3.8.