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if a graph has 55 vertices an 77 edges when write the size of its adjency matyrix

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Full solution

Q. if a graph has 55 vertices an 77 edges when write the size of its adjency matyrix
  1. Identify vertices: Identify the number of vertices in the graph to determine the dimensions of the adjacency matrix. Since the graph has 55 vertices, the adjacency matrix will be a 5×55 \times 5 matrix because the adjacency matrix is always a square matrix with dimensions equal to the number of vertices.
  2. Calculate matrix size: Calculate the size of the adjacency matrix by multiplying the number of rows by the number of columns. Since it's a 5×55 \times 5 matrix, the size is 5×5=255 \times 5 = 25.

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