Question

Proof that two hermitian commutating operators have the same eigenbasis

score 226 · Answer 1 · 2020-06-06 07:44:53

226

Views

Proof that two hermitian commutating operators have the same eigenbasis

Published on 06 Jun 2020 - 7:44

score 145 · Answer 2 · 2020-06-09 15:00:57

145

Views

Why is the trace of a hermitian matrix raised to an even power greater than or equal to 0?

Published on 09 Jun 2020 - 15:00

score 66 · Answer 3 · 2020-06-10 22:36:11

66

Views

Why is the trace of this object non-negative?

Published on 10 Jun 2020 - 22:36

score 177 · Answer 4 · 2026-03-25 19:03:19

177

Views

Determine representation matrix of orthogonal projection

Published on 25 Mar 2026 - 19:03

score 36 · Answer 5 · 2020-06-19 16:40:26

36

Views

find the hermitian operator of an operator which attaches a matrix and its iverted

Published on 19 Jun 2020 - 16:40

score 449 · Answer 6 · 2020-06-22 18:44:58

449

Views

An exercise of non-degenerate Hermitian form.

Published on 22 Jun 2020 - 18:44

score 39 · Answer 7 · 2026-03-24 01:48:27

39

Views

G-normal matrix

Published on 24 Mar 2026 - 1:48

score 55 · Answer 8 · 2020-07-04 14:54:39

55

Views

Given an invertible complex $n\times n$ matrix $P$, does $PP^*$ commute with with all $n\times n$ with all complex matrices.

Published on 04 Jul 2020 - 14:54

score 67 · Answer 9 · 2020-07-07 16:56:42

67

Views

Is there any $a\in\Bbb R$ s. t. $A$ is a Hermitian operator on $\Bbb R^3$ with the standard scalar product? If so, find all such $a$.

Published on 07 Jul 2020 - 16:56

score 379 · Answer 10 · 2020-07-11 09:35:27

379

Views

Calculate real matrix inverse of a complex matrix

Published on 11 Jul 2020 - 9:35

score 874 · Answer 11 · 2020-07-23 04:38:18

874

Views

What properties a matrix need to satisfy to form a real vector space

Published on 23 Jul 2020 - 4:38

score 184 · Answer 12 · 2026-03-25 06:58:57

184

Views

Visualise Gram sets of nonnegative polynomials in the cone of PSD matrices

Published on 25 Mar 2026 - 6:58

score 78 · Answer 13 · 2023-01-29 18:22:31

78

Views

Let $A$ any matrix so $A^H A$ is Hermitian and $A^H A $ is positive definite.

Published on 29 Jan 2023 - 18:22

score 78 · Answer 14 · 2023-02-15 12:42:33

78

Views

Which matrices can be square roots of Hermitian matrices?

Published on 15 Feb 2023 - 12:42

score 80 · Answer 15 · 2023-03-01 14:43:37

80

Views

Eigenvalues of sums of almost commuting Hermitian matrices

Published on 01 Mar 2023 - 14:43

List Question

Proof that two hermitian commutating operators have the same eigenbasis

Why is the trace of a hermitian matrix raised to an even power greater than or equal to 0?

Why is the trace of this object non-negative?

Determine representation matrix of orthogonal projection

find the hermitian operator of an operator which attaches a matrix and its iverted

An exercise of non-degenerate Hermitian form.

G-normal matrix

Given an invertible complex $n\times n$ matrix $P$, does $PP^*$ commute with with all $n\times n$ with all complex matrices.

Is there any $a\in\Bbb R$ s. t. $A$ is a Hermitian operator on $\Bbb R^3$ with the standard scalar product? If so, find all such $a$.

Calculate real matrix inverse of a complex matrix

What properties a matrix need to satisfy to form a real vector space

Visualise Gram sets of nonnegative polynomials in the cone of PSD matrices

Let $A$ any matrix so $A^H A$ is Hermitian and $A^H A $ is positive definite.

Which matrices can be square roots of Hermitian matrices?

Eigenvalues of sums of almost commuting Hermitian matrices

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