List questions from hermitian-matrices

Published on 01 Jul 2022 - 22:11

26

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Hermitian adjoint - can I apply star to eigenvalue? $T(v)=kv$ $ >> $ $T^(v)=k^v$

Published on 14 Jul 2022 - 18:38

152

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Acting the derivative operator on a bra to its left

Published on 15 Jul 2022 - 9:32

156

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$A$ is Hermitian and $(Ax,x)=0 \Rightarrow x=0$.

Published on 17 Jul 2022 - 9:27

624

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The proof of $\langle Ax,x\rangle=\langle x,Ax\rangle$ for all $x\in \mathbb C^n$ $\Rightarrow$ $A$ is Hermitian.

Published on 18 Jul 2022 - 4:15

92

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Relations between eigenvalues and eigenvectors of Hermitian matrices $A$ and $A^2$

Published on 19 Jul 2022 - 0:15

122

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Non-Hermitian, non-unitary square matrix factorized into unitary and Hermitian matrices

Published on 29 Jul 2022 - 21:03

107

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Relationship between the diagonal elements of a Hermitian matrix and its eigenvalues

Published on 26 Mar 2026 - 12:33

120

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Simultaneous diagonalization of $\frac{A+A^{}}{2}$ and $(AA^{})^{\frac{1}{2}}$

Published on 09 Aug 2022 - 12:47

275

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Can we always find this kind of unitary matrix to diagonalize this special form hermitian matrix?

Published on 16 Aug 2022 - 7:25

91

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Given two unitary and hermitian matrices with equal traces, Prove that they are similar and congruence matrices.

Published on 26 Mar 2026 - 6:34

93

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Diagonalizing a Hermitian Matrix

Published on 31 Aug 2022 - 11:45

121

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What is the matrix representing a positive operator called?

Published on 11 Sep 2022 - 12:15

161

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Expectation of $e^{i\alpha H}$

Published on 11 Sep 2022 - 22:58

178

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Can every non-hermitian matrix be written as a sum of hermitan matrices?

Published on 09 Oct 2022 - 2:51

List Question

Eigenvalues of block matrix with zero diagonal

Hermitian adjoint - can I apply star to eigenvalue? $T(v)=kv$ $ >> $ $T^(v)=k^v$

Acting the derivative operator on a bra to its left

$A$ is Hermitian and $(Ax,x)=0 \Rightarrow x=0$.

The proof of $\langle Ax,x\rangle=\langle x,Ax\rangle$ for all $x\in \mathbb C^n$ $\Rightarrow$ $A$ is Hermitian.

Relations between eigenvalues and eigenvectors of Hermitian matrices $A$ and $A^2$

Non-Hermitian, non-unitary square matrix factorized into unitary and Hermitian matrices

Relationship between the diagonal elements of a Hermitian matrix and its eigenvalues

Simultaneous diagonalization of $\frac{A+A^{}}{2}$ and $(AA^{})^{\frac{1}{2}}$

Can we always find this kind of unitary matrix to diagonalize this special form hermitian matrix?

Given two unitary and hermitian matrices with equal traces, Prove that they are similar and congruence matrices.

Diagonalizing a Hermitian Matrix

What is the matrix representing a positive operator called?

Expectation of $e^{i\alpha H}$

Can every non-hermitian matrix be written as a sum of hermitan matrices?

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