List questions from eigenvalues-eigenvectors

Published on 15 Apr 2026 - 10:56

56

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Maximum value of $A-\lambda P_v \succeq 0$, where $A$ is a positive symmetric matrix and $P_v$ is a projection onto a unit vector

Published on 28 Mar 2026 - 7:53

263

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Calculating determinant using eigenvalues (real and complex)

Published on 25 Mar 2026 - 4:35

147

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Eigendecomposing real matrices without knowing complex numbers

Published on 13 Apr 2026 - 4:03

174

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Stability analysis of system of nonlinear ODEs

Published on 26 Mar 2026 - 4:31

903

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Gershgorin circle theorem and similarity transformations

Published on 21 Jan 2020 - 10:56

419

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Why isn't $A=\lambda$ in $Au=\lambda u$? (eigenvalues)

Published on 17 Apr 2026 - 11:26

1.8k

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Why is the determinant necessary to find out the eigenvalues of a matrix?

Published on 14 Apr 2026 - 11:29

687

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Eigenvectors and eigenvalues of "outer-product" matrix $M_{(ij),(pq)} = A_{i,p} B_{j,q}$

Published on 15 Apr 2026 - 21:42

182

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Upper bound on the magnitude of eigenvalue of a stochastic matrix

Published on 25 Mar 2026 - 17:40

37

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Sums over the entries of eigenvectors

Published on 25 Mar 2026 - 6:27

157

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How to predict true eigenvalues from eigenvalues of trials? Averaging?

Published on 10 Apr 2026 - 14:50

280

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Prove $Av=\lambda v$ iff $\det[(A-\lambda_R I)^2 + \lambda_I^2 I ]=0$, for real $A$

Published on 14 Apr 2026 - 19:03

132

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Linear transformation with inner product.

Published on 09 Apr 2026 - 22:21

408

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What are the eigenvalues and eigenvectors of a symmetric pentadiagonal Toeplitz matrix?

Published on 25 Mar 2026 - 5:06

List Question

On the number of linearly independent eigenvectors

Maximum value of $A-\lambda P_v \succeq 0$, where $A$ is a positive symmetric matrix and $P_v$ is a projection onto a unit vector

Calculating determinant using eigenvalues (real and complex)

Eigendecomposing real matrices without knowing complex numbers

Stability analysis of system of nonlinear ODEs

Gershgorin circle theorem and similarity transformations

Why isn't $A=\lambda$ in $Au=\lambda u$? (eigenvalues)

Why is the determinant necessary to find out the eigenvalues of a matrix?

Eigenvectors and eigenvalues of "outer-product" matrix $M_{(ij),(pq)} = A_{i,p} B_{j,q}$

Upper bound on the magnitude of eigenvalue of a stochastic matrix

Sums over the entries of eigenvectors

How to predict true eigenvalues from eigenvalues of trials? Averaging?

Prove $Av=\lambda v$ iff $\det[(A-\lambda_R I)^2 + \lambda_I^2 I ]=0$, for real $A$

Linear transformation with inner product.

What are the eigenvalues and eigenvectors of a symmetric pentadiagonal Toeplitz matrix?

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