Eigenvector-eigenvalue identity[edit]
For a Hermitian matrix, the norm squared of the jth component of a normalized eigenvector can be calculated using only the matrix eigenvalues and the eigenvalues of the corresponding minor matrix,
where is the submatrix formed by removing the jth row and column from the original matrix.[34][35][36]
https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors#Eigenvector-eigenvalue_identity
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