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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

2 votes
3 answers
921 views

eigenvalue of Laplacian matrix

If we have a Laplacian matrix $\boldsymbol{A}$ such that \begin{align} &A_{ii} >0 \\ &A_{ii}=-\sum_{j\neq i}A_{ij} \end{align} with known eigenvalues $\lambda_i$. Define the matrix $\boldsymbol{B} = …