(a) Given the circuit diagram in Figure 2.32 showing admittances and current sources at nodes 3 and 4 , set up the nodal equations in matrix format.

(b) If the parameters are given by: \(Y_{a}=-j 0.8 \mathrm{~S}, Y_{b}=-j 4.0 \mathrm{~S}\), \(Y_{c}=-j 4.0 \mathrm{~S}, Y_{d}=-j 8.0 \mathrm{~S}, Y_{e}=-j 5.0 \mathrm{~S}, Y_{f}=-j 2.5 \mathrm{~S}, Y_{g}=-j 0.8 \mathrm{~S}\), \(I_{3}=1.0 \angle-90^{\circ} \mathrm{A}\), and \(I_{4}=0.62 \angle-135^{\circ} \mathrm{A}\), set up the nodal equations and suggest how you would go about solving for the voltages at the nodes.

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