3. The six towns below need to be connected with gas pipes. The numbers on each edge represent the distances in km. B 16 A 8 2. 12 4 E (a) Express the distances between each town in a matrix. (b) Use Prim's algorithm starting with node E to find the minimum total length of gas pipes needed. (c) Is the solution to part b unique or are there multiple minimum spanning tree's for this network? Provide an example with your answer. 10

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