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Results tagged with eigenvalues
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user 56399
eigenvalues of matrices or operators
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How do eigenvalues change if we duplicate a row and column of a symmetric matrix?
We define a new matrix,
$$ {\bf B} = \begin{bmatrix} a_{11} & {\bf a}_1^T \\ {\bf a}_1 & {\bf A} \end{bmatrix} $$
How are the eigenvalues of $\bf B$ related to those of $\bf A$? … Let $\lambda_k$ and $\mu_k$ denote the eigenvalues of ${\bf A}$ and ${\bf B}$, respectively. …
