Analyzing Network Connectivity via Eigenvalues
Consider the network represented by the following adjacency matrix: \( A = \begin{pmatrix} 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{pmatrix} \). (a) Compute the eigenvalues of the matrix \(A\). (b) Identify the largest eigenvalue and explain briefly how it reflects the connectivity of the […]