Question

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

score 157 · Answer 1 · 2026-03-25 14:25:22

157

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 25 Mar 2026 - 14:25

score 46 · Answer 2 · 2026-03-25 14:21:13

46

Views

Why is my matrix not unitary?

Published on 25 Mar 2026 - 14:21

score 107 · Answer 3 · 2026-03-25 16:01:34

107

Views

Rotation matrix and unitary similarity

Published on 25 Mar 2026 - 16:01

score 100 · Answer 4 · 2026-03-25 16:05:57

100

Views

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

Published on 25 Mar 2026 - 16:05

score 291 · Answer 5 · 2026-05-11 02:39:36

291

Views

Lie Group structure on $S^2$

Published on 11 May 2026 - 2:39

score 194 · Answer 6 · 2026-03-25 12:51:57

194

Views

Unitary change of variables in real integral

Published on 25 Mar 2026 - 12:51

score 1.7k · Answer 7 · 2026-05-10 15:22:11

1.7k

Views

Hermitian matrix versus unitary matrix

Published on 10 May 2026 - 15:22

score 134 · Answer 8 · 2026-05-10 15:23:43

134

Views

Eigenvectors of hermitian matrix form unitary matrix

Published on 10 May 2026 - 15:23

score 89 · Answer 9 · 2026-03-25 14:23:44

89

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 25 Mar 2026 - 14:23

score 86 · Answer 10 · 2026-04-16 19:38:42

86

Views

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

Published on 16 Apr 2026 - 19:38

score 111 · Answer 11 · 2026-03-25 14:21:04

111

Views

Opposite determinant in Autonne-Takagi factorization

Published on 25 Mar 2026 - 14:21

score 187 · Answer 12 · 2026-03-25 14:25:12

187

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 Mar 2026 - 14:25

score 389 · Answer 13 · 2026-03-25 16:03:47

389

Views

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

Published on 25 Mar 2026 - 16:03

score 176 · Answer 14 · 2026-03-25 19:03:46

176

Views

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

Published on 25 Mar 2026 - 19:03

score 150 · Answer 15 · 2026-03-25 14:21:06

150

Views

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

Published on 25 Mar 2026 - 14:21

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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