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Adjacency matrix of all graphs are symmetric.

Question

Adjacency matrix of all graphs are symmetric.

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Solution

Yes, the adjacency matrix of all graphs is symmetric. This is because the adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph.

Here are the steps to understand why the adjacency matrix is always symmetric:

  1. The adjacency matrix is a square matrix where the

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