The adjacency matrix of a graph is:A. Always symmetricB. Always skew-symmetricC. DiagonalD. Triangular
Question
The adjacency matrix of a graph is:A. Always symmetricB. Always skew-symmetricC. DiagonalD. Triangular
Solution
The adjacency matrix of a graph is always symmetric. This is because in an adjacency matrix, the entry in the i-th row and j-th column is equal to the number of edges between vertices i and j, which is the same as the entry in the j-th row and i-th column. Therefore, the adjacency matrix is symmetric.
Similar Questions
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