List questions from eigenvalues-eigenvectors

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Need verification - Given a Hermitian matrix and two eigenvectors corresponding to distinct eigenvalues, show x and y are orthogonal.

Published on 04 Apr 2026 - 11:58

425

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Eigenvalues for the Sturm-Liouville boundary value problem

Published on 29 Aug 2014 - 13:36

11k

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A normal matrix with real eigenvalues is Hermitian

Published on 11 Apr 2026 - 22:57

93

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Leading eigenvalues of large sparse unsymmetric matrix

Published on 12 Apr 2026 - 3:33

128

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Is $\mathrm{col}(\lambda I_n-A)\subseteq \mathrm{col}(B) $ for a complex $\lambda$?

Published on 30 Aug 2014 - 22:13

36.7k

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How do you diagonalize this matrix and find P and D such that A = PDP^-1?

Published on 28 Mar 2026 - 10:04

508

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Computations for LDA: Eigendecomposition

Published on 26 Mar 2026 - 3:09

226

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Determinant and generalized eigenvalues

Published on 02 Apr 2026 - 10:16

116

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smallest and largest eigenvalue of discretized operator $-d^2/dx^2$

Published on 30 Mar 2026 - 5:29

43

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Eigenvalue and proper subespace.

Published on 02 Sep 2014 - 15:33

201

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On matrices sharing the same smallest nonzero eigenvalue and related eigenvector

Published on 30 Mar 2026 - 3:50

201

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Eigenvalues of a special $M \times M$ matrix

Published on 03 Sep 2014 - 9:07

845

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Argmax and eigenvectors

Published on 11 Apr 2026 - 2:52

1.1k

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Difference of Positive Semidefinite Matrices

Published on 04 Sep 2014 - 3:00

2.9k

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Can a self-adjoint operator have no eigenvalues?

Published on 10 Apr 2026 - 5:35

List Question

Need verification - Given a Hermitian matrix and two eigenvectors corresponding to distinct eigenvalues, show x and y are orthogonal.

Eigenvalues for the Sturm-Liouville boundary value problem

A normal matrix with real eigenvalues is Hermitian

Leading eigenvalues of large sparse unsymmetric matrix

Is $\mathrm{col}(\lambda I_n-A)\subseteq \mathrm{col}(B) $ for a complex $\lambda$?

How do you diagonalize this matrix and find P and D such that A = PDP^-1?

Computations for LDA: Eigendecomposition

Determinant and generalized eigenvalues

smallest and largest eigenvalue of discretized operator $-d^2/dx^2$

Eigenvalue and proper subespace.

On matrices sharing the same smallest nonzero eigenvalue and related eigenvector

Eigenvalues of a special $M \times M$ matrix

Argmax and eigenvectors

Difference of Positive Semidefinite Matrices

Can a self-adjoint operator have no eigenvalues?

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