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Solve given statements related to matrix

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Question: 1. Let G be a directed graph, possibly with parallel arcs, and let A be its adjacency matrix. Then A may not be a Boolean matrix. Prove that the i, j entry of matrix a2 is the number of paths of length 2 from node i to node j.

2. Let A be the adjacency matrix of a directed graph G, possibly with parallel arcs. Prove that the i, j entry of matrix an gives the number of paths of length n from node i to node j.

Reference no: EM131636766

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