List questions from hermitian-matrices

Published on 21 Apr 2020 - 5:25

992

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Sylvester's Criterion for indefinite matrices

Published on 24 Apr 2020 - 9:34

826

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If a matrix is positive-semidefinite, is Hermitian, and has a trace of 1, is it idempotent?

Published on 25 Apr 2020 - 2:00

47

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Semi-positivity of an Hermitian matrix

Published on 25 Mar 2026 - 17:34

302

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If two matrices have the same characteristic polynomial, they need not be unitarily equivalent. Why?

Published on 25 Mar 2026 - 16:00

97

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Positive definite Hermitian iff. $\exists$ P $\in GL(E) s.t. A= P^*P$

Published on 04 May 2020 - 21:21

122

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Continuous function $f(\vartheta A)$ where $A$ is an Hermitian matrix

Published on 06 May 2020 - 11:26

65

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Quadratic form on $\mathbb{C}^3$

Published on 11 May 2020 - 17:14

50

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Given a square matrix A, which inner products are invariant under ("conjugation" by) A?

Published on 11 May 2020 - 17:31

265

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Hermitian/Skew Hermitian Matrix for non-orthogonal basis

Published on 17 May 2020 - 0:10

1.7k

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Hermitian matrix versus unitary matrix

Published on 25 Mar 2026 - 16:06

133

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Eigenvectors of hermitian matrix form unitary matrix

Published on 25 Mar 2026 - 14:22

48

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Finding hermitian operator with inner product $\langle p(x),q(x) \rangle = p(0)q(0) + p(1)q(1) + p(-1)q(-1)$

Published on 27 May 2020 - 12:03

169

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Show $A$ is Hermitian and find the orthonormal basis for $V$ in which $A$ is diagonalizable.

Published on 28 May 2020 - 14:50

93

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What is $\max\langle x,Ax\rangle$ over subspaces non-invariant under $A$?

Published on 01 Jun 2020 - 18:52

List Question

Convexity of Maximal Eigenvalue of Nonsymmetric Tridiagonal Matrix

Sylvester's Criterion for indefinite matrices

If a matrix is positive-semidefinite, is Hermitian, and has a trace of 1, is it idempotent?

Semi-positivity of an Hermitian matrix

If two matrices have the same characteristic polynomial, they need not be unitarily equivalent. Why?

Positive definite Hermitian iff. $\exists$ P $\in GL(E) s.t. A= P^*P$

Continuous function $f(\vartheta A)$ where $A$ is an Hermitian matrix

Quadratic form on $\mathbb{C}^3$

Given a square matrix A, which inner products are invariant under ("conjugation" by) A?

Hermitian/Skew Hermitian Matrix for non-orthogonal basis

Hermitian matrix versus unitary matrix

Eigenvectors of hermitian matrix form unitary matrix

Finding hermitian operator with inner product $\langle p(x),q(x) \rangle = p(0)q(0) + p(1)q(1) + p(-1)q(-1)$

Show $A$ is Hermitian and find the orthonormal basis for $V$ in which $A$ is diagonalizable.

What is $\max\langle x,Ax\rangle$ over subspaces non-invariant under $A$?

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