Suppose that all wires in the illustrated network have unit resistivity.

(a) Write down the incidence matrix A.
(b) Write down the equilibrium system for the network when node 4 is grounded and there is a current source of magnitude 3 at node 1.
(c) Solve the system for the voltage potentials at the ungrounded nodes.
(d) If you connect a light bulb to the network, which wire should you connect it to so that it shines the brightest?

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