Question

Prove there exists an orthonormal basis $\gamma$ for V such that the first k columns of $[U]_{\gamma}$ form an orthonormal set

score 156 · Answer 1 · 2020-05-08 00:31:57

156

Views

Prove there exists an orthonormal basis $\gamma$ for V such that the first k columns of $[U]_{\gamma}$ form an orthonormal set

Published on 08 May 2020 - 0:31

score 45 · Answer 2 · 2020-05-12 17:09:21

45

Views

Why is my matrix not unitary?

Published on 12 May 2020 - 17:09

score 106 · Answer 3 · 2020-05-15 10:40:11

106

Views

Rotation matrix and unitary similarity

Published on 15 May 2020 - 10:40

score 99 · Answer 4 · 2020-05-15 13:00:34

99

Views

Average distance between two points on $U(n)$

Published on 15 May 2020 - 13:00

score 289 · Answer 5 · 2026-03-25 09:22:51

289

Views

Lie Group structure on $S^2$

Published on 25 Mar 2026 - 9:22

score 193 · Answer 6 · 2020-05-19 11:43:44

193

Views

Unitary change of variables in real integral

Published on 19 May 2020 - 11:43

score 1.7k · Answer 7 · 2020-05-21 16:00:57

1.7k

Views

Hermitian matrix versus unitary matrix

Published on 21 May 2020 - 16:00

score 132 · Answer 8 · 2020-05-22 14:03:16

132

Views

Eigenvectors of hermitian matrix form unitary matrix

Published on 22 May 2020 - 14:03

score 88 · Answer 9 · 2020-05-22 19:17:02

88

Views

For general 2d complex traceless $\sigma$, the U that diagonalises $\sigma^\dagger \sigma$ leaves $U^\dagger \sigma U$ with zeros on the diagonal?

Published on 22 May 2020 - 19:17

score 83 · Answer 10 · 2020-05-23 03:18:14

83

Views

Irreducible decomposition of the representation $U\otimes\bar{U}$ of the unitary group

Published on 23 May 2020 - 3:18

score 110 · Answer 11 · 2020-05-24 05:54:25

110

Views

Opposite determinant in Autonne-Takagi factorization

Published on 24 May 2020 - 5:54

score 186 · Answer 12 · 2020-05-25 14:46:27

186

Views

If the singular value decomposition $U\Sigma V^T$ has rank $r$ and $Q$ is semi-orthogonal, then $Q\Sigma V^T$ has rank $r$ as well

Published on 25 May 2020 - 14:46

score 388 · Answer 13 · 2020-05-26 09:01:37

388

Views

Smallest subgroup of unitary group, containing diagonal matrices and a fixed unitary matrix is the whole group

Published on 26 May 2020 - 9:01

score 175 · Answer 14 · 2020-05-26 18:36:12

175

Views

Finding a diagonal matrix $B$ and a unitary matrix $C$ that satisfy $B=C^{-1}AC$.

Published on 26 May 2020 - 18:36

score 149 · Answer 15 · 2020-05-28 00:37:35

149

Views

Is posible represent a matrix $A$ like $A=\lambda U$ where $U$ is a unitary matrix and $\lambda \in \mathbb{C}$?

Published on 28 May 2020 - 0:37

List Question

Prove there exists an orthonormal basis $\gamma$ for V such that the first k columns of $[U]_{\gamma}$ form an orthonormal set

Why is my matrix not unitary?

Rotation matrix and unitary similarity

Average distance between two points on $U(n)$

Lie Group structure on $S^2$

Unitary change of variables in real integral

Hermitian matrix versus unitary matrix

Eigenvectors of hermitian matrix form unitary matrix

For general 2d complex traceless $\sigma$, the U that diagonalises $\sigma^\dagger \sigma$ leaves $U^\dagger \sigma U$ with zeros on the diagonal?

Irreducible decomposition of the representation $U\otimes\bar{U}$ of the unitary group

Opposite determinant in Autonne-Takagi factorization

If the singular value decomposition $U\Sigma V^T$ has rank $r$ and $Q$ is semi-orthogonal, then $Q\Sigma V^T$ has rank $r$ as well

Smallest subgroup of unitary group, containing diagonal matrices and a fixed unitary matrix is the whole group

Finding a diagonal matrix $B$ and a unitary matrix $C$ that satisfy $B=C^{-1}AC$.

Is posible represent a matrix $A$ like $A=\lambda U$ where $U$ is a unitary matrix and $\lambda \in \mathbb{C}$?

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