Question: Consider the following directed graph: 5 D B 8 E (a) Show how the above graph would be represented using an adjacency matrix. (b)

Consider the following directed graph: 5 D B 8 E (a) Show how the above graph would be represented using an adjacency matrix. (b) Describe Dijkstra's algorithm for finding shortest paths in a weighted directed graph. (c) Show, step by step, the use of Dijkstra's algorithm to find the shortest path from the vertex A to each other vertex in the graph shown above. At each step the known and frontier sets should be clearly indicated.

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