The number of elements in the adjacency matrix of a graph having 7 vertices is __________?
Question
The number of elements in the adjacency matrix of a graph having 7 vertices is __________?
Solution
The adjacency matrix of a graph is a square matrix where the number of rows and columns is equal to the number of vertices in the graph.
Step 1: Identify the number of vertices in the graph. In this case, the graph has 7 vertices.
Step 2: Since the adjacency matrix is a square matrix, the number of elements in the matrix is the square of the number of vertices.
Step 3: Calculate the square of the number of vertices. In this case, 7*7 = 49.
So, the number of elements in the adjacency matrix of a graph having 7 vertices is 49.
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