For the graph below, write the adjacency matrix (A), compute (A^{3}), and verify that for each (i)

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For the graph below, write the adjacency matrix \(A\), compute \(A^{3}\), and verify that for each \(i\) and \(j, A^{3}(i, j)\) is the number of paths from \(i\) to \(j\) of length 3 by listing those paths.

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