Question: (a) If A is the adjacency matrix of a graph G, show that A is irreducible if and only if G is connected. (A graph

(a) If A is the adjacency matrix of a graph G, show that A is irreducible if and only if G is connected. (A graph is connected if there is a path between every pair of vertices.)

(b) Which of the graphs in Section 4.0 have an irreducible adjacency matrix? Which have a primitive adjacency matrix?

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