Identify the network a connection matrix describes
A campus map records direct roads between buildings. The entries count direct connections
The vertex order for the rows and columns is Hall, Gym, Office. Entry \(m_{ij}\) counts direct connections from the row vertex \(i\) to the column vertex \(j\). Every connection is two-way
\[M = \begin{bmatrix} 0 & 0 & 1 \\ 0 & 0 & 1 \\ 1 & 1 & 0 \end{bmatrix}\]