List questions from hermitian-matrices

Published on 25 Mar 2026 - 6:03

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Show that if $X^*AX\in \mathbb{R}$, then $A$ is hermitian

Published on 16 Mar 2021 - 2:36

204

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Is a Hermitian matrix squared a positive matrix?

Published on 20 Mar 2021 - 22:22

200

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How is a real symmetric matrix a limit of symmetric matrices with distinct eigenvalues?

Published on 26 Mar 2021 - 1:51

150

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Geometric algebra from the vector space of $N\times N$ Hermitian matrices

Published on 26 Mar 2026 - 13:00

218

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How can I prove that this operator is not hermitian?

Published on 31 Mar 2021 - 22:00

129

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Can you generate all unitary operators from the unit ball of Hermitian operators?

Published on 05 Apr 2021 - 1:57

145

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Eigenvalues of arrowhead-like Hermitian matrix

Published on 06 Apr 2021 - 11:37

69

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Is the following principle correct?

Published on 11 Apr 2021 - 14:31

129

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If $A=B+iC$ is Hermitian, are eigenvalues of $A$ also eigenvalues of $\begin{pmatrix}B&-C\\C&B\end{pmatrix}$?

Published on 25 Apr 2021 - 14:54

176

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Eigenvalue Problem of a hermitian tridiagonal matrix

Published on 25 Mar 2026 - 21:30

56

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Symmetry breaking in pseudo Hermitian matrices

Published on 29 Apr 2021 - 3:03

328

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Decomposition of Hermitian matrix

Published on 04 May 2021 - 16:01

157

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What can I say about the eigenvalues of $A+A^T$?

Published on 17 May 2021 - 23:54

165

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Properties of the elements of $SU(n)$

Published on 25 May 2021 - 18:58

List Question

If A and B are Hermitian Matrices, $\text{tr}(ABAB) \geq 0$.

Show that if $X^*AX\in \mathbb{R}$, then $A$ is hermitian

Is a Hermitian matrix squared a positive matrix?

How is a real symmetric matrix a limit of symmetric matrices with distinct eigenvalues?

Geometric algebra from the vector space of $N\times N$ Hermitian matrices

How can I prove that this operator is not hermitian?

Can you generate all unitary operators from the unit ball of Hermitian operators?

Eigenvalues of arrowhead-like Hermitian matrix

Is the following principle correct?

If $A=B+iC$ is Hermitian, are eigenvalues of $A$ also eigenvalues of $\begin{pmatrix}B&-C\\C&B\end{pmatrix}$?

Eigenvalue Problem of a hermitian tridiagonal matrix

Symmetry breaking in pseudo Hermitian matrices

Decomposition of Hermitian matrix

What can I say about the eigenvalues of $A+A^T$?

Properties of the elements of $SU(n)$

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