Question

Is the seven-dimensional cross product unique?

score 697 · Answer 1 · 2026-03-26 18:35:47

697

Views

Is the seven-dimensional cross product unique?

Published on 26 Mar 2026 - 18:35

score 42 · Answer 2 · 2019-12-15 22:21:12

42

Views

Does $O(n)$ have a proper normal subgroup that contains a reflection?

Published on 15 Dec 2019 - 22:21

score 377 · Answer 3 · 2019-12-16 19:09:09

377

Views

What is the difference between special orthogonal matrices and other general orthogonal matrices?

Published on 16 Dec 2019 - 19:09

score 138 · Answer 4 · 2019-12-16 20:05:36

138

Views

How do I work out the general form of a $2 \times 2$ special orthogonal matrix?

Published on 16 Dec 2019 - 20:05

score 609 · Answer 5 · 2019-12-17 13:45:11

609

Views

Largest orthogonal matrix that can be created using only 1 and -1 as elements

Published on 17 Dec 2019 - 13:45

score 192 · Answer 6 · 2026-03-26 11:16:00

192

Views

An elegant proof for a claim about orthogonal and positive-definite matrices

Published on 26 Mar 2026 - 11:16

score 312 · Answer 7 · 2019-12-19 10:57:47

312

Views

The closest matrix to a given matrix in $\text{SO}(n)$ is unique iff the smallest singular value is a strict minimum

Published on 19 Dec 2019 - 10:57

score 366 · Answer 8 · 2026-03-26 21:09:31

366

Views

Rank of product of two orthogonal matrices

Published on 26 Mar 2026 - 21:09

score 191 · Answer 9 · 2019-12-26 09:28:45

191

Views

Is this condition on the eigenvalues of a matrix rigid under orthogonal multiplication?

Published on 26 Dec 2019 - 9:28

score 66 · Answer 10 · 2019-12-26 10:00:42

66

Views

Reference for the degenerate orthogonal Procrustes problem

Published on 26 Dec 2019 - 10:00

score 44 · Answer 11 · 2026-03-26 20:41:57

44

Views

Orthogonal Subspace: $A_p$ and $B_p$ are orthogonally projected by the same projector $P$. Is there always $P$ so that $A_p=QB_p$, where $Q\in O(k)$?

Published on 26 Mar 2026 - 20:41

score 1.3k · Answer 12 · 2020-01-06 08:56:22

1.3k

Views

When does multiplication by an orthogonal matrix preserves the eigenvalues?

Published on 06 Jan 2020 - 8:56

score 964 · Answer 13 · 2020-01-07 13:49:04

964

Views

Orthogonal matrix which preserves the eigenvalues of a diagonal matrix

Published on 07 Jan 2020 - 13:49

score 92 · Answer 14 · 2020-01-15 16:02:43

92

Views

Give a general class to which a specific $4 \times 4$ special orthogonal matrix belongs

Published on 15 Jan 2020 - 16:02

score 4.7k · Answer 15 · 2020-01-15 17:12:14

4.7k

Views

Why should the trace of a 3d rotation matrix have these properties?

Published on 15 Jan 2020 - 17:12

List Question

Is the seven-dimensional cross product unique?

Does $O(n)$ have a proper normal subgroup that contains a reflection?

What is the difference between special orthogonal matrices and other general orthogonal matrices?

How do I work out the general form of a $2 \times 2$ special orthogonal matrix?

Largest orthogonal matrix that can be created using only 1 and -1 as elements

An elegant proof for a claim about orthogonal and positive-definite matrices

The closest matrix to a given matrix in $\text{SO}(n)$ is unique iff the smallest singular value is a strict minimum

Rank of product of two orthogonal matrices

Is this condition on the eigenvalues of a matrix rigid under orthogonal multiplication?

Reference for the degenerate orthogonal Procrustes problem

Orthogonal Subspace: $A_p$ and $B_p$ are orthogonally projected by the same projector $P$. Is there always $P$ so that $A_p=QB_p$, where $Q\in O(k)$?

When does multiplication by an orthogonal matrix preserves the eigenvalues?

Orthogonal matrix which preserves the eigenvalues of a diagonal matrix

Give a general class to which a specific $4 \times 4$ special orthogonal matrix belongs

Why should the trace of a 3d rotation matrix have these properties?

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