List questions from hermitian-matrices

Published on 26 Mar 2026 - 2:55

37

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

Published on 26 Mar 2026 - 3:01

141

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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 26 Mar 2026 - 2:58

167

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Symmetric subspace dimension of Hermitian matrix

Published on 26 Mar 2026 - 2:55

55

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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 26 Mar 2026 - 3:01

34

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Eigenvalue of Hermitian block matrix with scaled all-ones block

Published on 26 Mar 2026 - 2:55

245

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Hermitian matrices and inner products

Published on 12 Apr 2026 - 3:44

55

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Positive definite Hermitian matrices and non-leading principal minors

Published on 26 Mar 2026 - 2:56

86

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Usefulness of a Hermitian Matrix

Published on 26 Mar 2026 - 1:10

20

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Asymptotic spectra of Hermitian block Toeplitz matrices

Published on 25 Mar 2026 - 10:21

35

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

Published on 26 Mar 2026 - 2:56

62

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

Published on 26 Mar 2026 - 4:30

131

Views

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

Published on 26 Mar 2026 - 4:33

92

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

Published on 25 Mar 2026 - 20:42

66

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Show distinct eigenvectors of a Hermitian matrix are orthogonal

Published on 26 Mar 2026 - 2:55

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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