Question

Which n-tuples of positive integers can be the eigenvalues of some matrix with positive integer entries?

score 314 · Answer 1 · 2026-04-11 07:12:46

314

Views

Which n-tuples of positive integers can be the eigenvalues of some matrix with positive integer entries?

Published on 11 Apr 2026 - 7:12

score 365 · Answer 2 · 2014-07-10 22:26:11

365

Views

Effective way of checking if all eigenvalues of a matrix are integers

Published on 10 Jul 2014 - 22:26

score 1.9k · Answer 3 · 2014-07-14 07:38:39

1.9k

Views

Eigenvalues of $A:\;A^2 +2A=0$

Published on 14 Jul 2014 - 7:38

score 5.8k · Answer 4 · 2026-04-11 07:14:59

5.8k

Views

In what cases are the eigenvalue equal to the pole points?

Published on 11 Apr 2026 - 7:14

score 18.3k · Answer 5 · 2026-03-26 09:38:14

18.3k

Views

Why do positive definite symmetric matrices have the same singular values as eigenvalues?

Published on 26 Mar 2026 - 9:38

score 144 · Answer 6 · 2026-04-11 17:02:53

144

Views

Proof wanted that there is no positive integer matrix with positive integer eigenvalues u,v,w, if $0<u<v$ and $1\le w-v\le 2$

Published on 11 Apr 2026 - 17:02

score 66 · Answer 7 · 2014-07-15 17:53:05

66

Views

Eigenvalues of $I_n-A$

Published on 15 Jul 2014 - 17:53

score 193 · Answer 8 · 2014-07-15 18:14:19

193

Views

Why does an algebraic multiplicity of n imply an n-dimensional eigenspace for a Hermitian matrix?

Published on 15 Jul 2014 - 18:14

score 47 · Answer 9 · 2014-07-15 20:14:43

47

Views

Proof that all nonreal eigenvalues of real coefficient linear transforms come in conjugate pairs?

Published on 15 Jul 2014 - 20:14

score 566 · Answer 10 · 2026-03-27 22:04:54

566

Views

Reference for simplicity of the principal eigenvalue of the Laplacian

Published on 27 Mar 2026 - 22:04

score 145 · Answer 11 · 2026-03-26 09:51:26

145

Views

Prove or disprove: if a set of 2d-points have symmetry axises, then at least one of the axises is eigenvector

Published on 26 Mar 2026 - 9:51

score 616 · Answer 12 · 2026-04-10 16:26:58

616

Views

Simultaneous diagonalization of commuting matrix

Published on 10 Apr 2026 - 16:26

score 933 · Answer 13 · 2026-04-10 02:04:43

933

Views

Relationship between eigenvectors of matrices

Published on 10 Apr 2026 - 2:04

score 109 · Answer 14 · 2026-04-11 11:52:29

109

Views

eigenvalue of symmetric matrix where some diagonal elements dominate

Published on 11 Apr 2026 - 11:52

score 99 · Answer 15 · 2026-04-12 00:12:20

99

Views

Matrix with all eigenvalues $0$ but not triangular?

Published on 12 Apr 2026 - 0:12

List Question

Which n-tuples of positive integers can be the eigenvalues of some matrix with positive integer entries?

Effective way of checking if all eigenvalues of a matrix are integers

Eigenvalues of $A:\;A^2 +2A=0$

In what cases are the eigenvalue equal to the pole points?

Why do positive definite symmetric matrices have the same singular values as eigenvalues?

Proof wanted that there is no positive integer matrix with positive integer eigenvalues u,v,w, if $0<u<v$ and $1\le w-v\le 2$

Eigenvalues of $I_n-A$

Why does an algebraic multiplicity of n imply an n-dimensional eigenspace for a Hermitian matrix?

Proof that all nonreal eigenvalues of real coefficient linear transforms come in conjugate pairs?

Reference for simplicity of the principal eigenvalue of the Laplacian

Prove or disprove: if a set of 2d-points have symmetry axises, then at least one of the axises is eigenvector

Simultaneous diagonalization of commuting matrix

Relationship between eigenvectors of matrices

eigenvalue of symmetric matrix where some diagonal elements dominate

Matrix with all eigenvalues $0$ but not triangular?

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