Problem $2(20)$: Using nodal analysis:

a$)$ Develop the set of equations and write them in matrix form.

b$)$ Find the voltages across, the currents through, and the power dissipated by each resistor. Clearly identify the current directions and the polarity of the voltages for each resistor.

c$)$ Determine the power delivered by each current source.

d$)$ Show the power dissipated by the five resistors equals the power delivered $($absorbed$)$ by the three sources.