Problem 7. A network of nodes and edges, and their conductances c; > 0, is shown in the fig- ure with arrows indicating positive flow direction. The edge numbers are with the c's. Node 5 is grounded (potential x5 = 0). (a) List all positions of the 4 by 4 matrix K = ATCA that will have zero entries. What is row 1 of K? (b) Find as many independent solutions as possible to Kirch- hoff's current law, AT y = 0. C3 (5) C₁ C4 C7 C5 4 C2 C6 3

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