List questions from hermitian-matrices

Published on 12 Mar 2023 - 8:29

36

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Does the arbitrary polynomials of the N-dimensional irreducible representation of SU(2) generate U(N)?

Published on 13 Mar 2023 - 14:54

140

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Prove that if $A$ is hermitian then $\|A\|=\max_{u^\dagger u=1}|u^\dagger Au|=|\lambda_i|_\max$

Published on 16 Mar 2023 - 13:18

166

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Symmetric subspace dimension of Hermitian matrix

Published on 10 Apr 2023 - 17:30

54

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If you know all the eigenvalues of an $n\times n$ (Hermitian) matrix, $A$, to what extent does that determine $A$ itself?

Published on 13 Apr 2023 - 10:37

33

Views

Eigenvalue of Hermitian block matrix with scaled all-ones block

Published on 19 Apr 2023 - 3:50

243

Views

Hermitian matrices and inner products

Published on 24 Apr 2023 - 8:06

54

Views

Positive definite Hermitian matrices and non-leading principal minors

Published on 27 Apr 2023 - 18:34

85

Views

Usefulness of a Hermitian Matrix

Published on 01 May 2023 - 21:04

20

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Asymptotic spectra of Hermitian block Toeplitz matrices

Published on 25 Mar 2026 - 10:21

34

Views

How is it true that all linear combinations of 2 distinct eigenvectors of a Hermetian operator share the same eigenvalue?

Published on 06 May 2023 - 13:02

61

Views

Construction of a $4 \times 4$ Hermitian matrix with the eigenvalues $\pm \lambda_0$

Published on 08 May 2023 - 14:52

129

Views

Riemannian metric for the Fubini-Study metric on $\mathbb{C}P^2$

Published on 15 May 2023 - 5:27

92

Views

Verify my proof that eigenvalues of a unitary matrix have absolute value 1

Published on 25 Mar 2026 - 20:42

65

Views

Show distinct eigenvectors of a Hermitian matrix are orthogonal

Published on 22 May 2023 - 23:59

List Question

Are these conditions sufficient to guarantee positive definiteness?

Does the arbitrary polynomials of the N-dimensional irreducible representation of SU(2) generate U(N)?

Prove that if $A$ is hermitian then $\|A\|=\max_{u^\dagger u=1}|u^\dagger Au|=|\lambda_i|_\max$

Symmetric subspace dimension of Hermitian matrix

If you know all the eigenvalues of an $n\times n$ (Hermitian) matrix, $A$, to what extent does that determine $A$ itself?

Eigenvalue of Hermitian block matrix with scaled all-ones block

Hermitian matrices and inner products

Positive definite Hermitian matrices and non-leading principal minors

Usefulness of a Hermitian Matrix

Asymptotic spectra of Hermitian block Toeplitz matrices

How is it true that all linear combinations of 2 distinct eigenvectors of a Hermetian operator share the same eigenvalue?

Construction of a $4 \times 4$ Hermitian matrix with the eigenvalues $\pm \lambda_0$

Riemannian metric for the Fubini-Study metric on $\mathbb{C}P^2$

Verify my proof that eigenvalues of a unitary matrix have absolute value 1

Show distinct eigenvectors of a Hermitian matrix are orthogonal

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