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eigenvalues of matrices or operators

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Relation between the algebraic multiplicity of an eigenvalue and the subdiagonal elements of... [closed]

Show that if $T$ is a symmetric tridiagonal matrix and an eigenvalue $\lambda$ has multiplicity $k$, then at least $k−1$ subdiagonal elements of $T$ are zero. If we consider a submatrix $B$ that …
Prashant Govindarajan's user avatar