Question

How to specify a $k$-periodic rotation matrix in $N$ dimensions that, when applied to any vector $k$ times, returns the original vector?

score 57 · Answer 1 · 2022-06-06 19:44:41

57

Views

How to specify a $k$-periodic rotation matrix in $N$ dimensions that, when applied to any vector $k$ times, returns the original vector?

Published on 06 Jun 2022 - 19:44

score 93 · Answer 2 · 2022-06-11 14:09:22

93

Views

Is the space $\mathbb{PR}^3$ homeomorphic to $\mathbb{PR}^2\times S^1$?

Published on 11 Jun 2022 - 14:09

score 45 · Answer 3 · 2022-06-11 20:05:50

45

Views

Normal matrix is unitarily equivalent to a matrix with rational canonical form

Published on 11 Jun 2022 - 20:05

score 201 · Answer 4 · 2026-04-02 02:14:54

201

Views

Distances between points on a sphere determine them up to isometry

Published on 02 Apr 2026 - 2:14

score 72 · Answer 5 · 2022-06-17 17:21:02

72

Views

Make two matrices perpendicular by orthogonal transformation

Published on 17 Jun 2022 - 17:21

score 113 · Answer 6 · 2026-03-31 03:39:17

113

Views

Proving that the orthogonal group corresponding to a non-degenerate symmetric bilinear form over $\mathbb{C}$ is conjugate to $O(n,\mathbb{C})$?

Published on 31 Mar 2026 - 3:39

score 175 · Answer 7 · 2022-06-22 05:32:13

175

Views

In QR decomposition, why do we get a triangular matrix?

Published on 22 Jun 2022 - 5:32

score 77 · Answer 8 · 2022-06-24 17:47:56

77

Views

Disprove that AB orthogonal implies A and B orthogonal

Published on 24 Jun 2022 - 17:47

score 38 · Answer 9 · 2022-06-24 19:25:46

38

Views

What are the implicit conditions underlying the $J$ matrices for $J$-orthogonal matrices?

Published on 24 Jun 2022 - 19:25

score 73 · Answer 10 · 2026-03-27 12:29:56

73

Views

Trace-maximizing orthogonal rotation

Published on 27 Mar 2026 - 12:29

score 178 · Answer 11 · 2022-06-28 12:28:15

178

Views

Eigenvalues of a composition of matrices

Published on 28 Jun 2022 - 12:28

score 684 · Answer 12 · 2026-03-28 01:07:36

684

Views

Prove that for an orthogonal matrix $A$ and a certain reflection $R$, the $\mathbb C$-linear part of $RA$ is invertible

Published on 28 Mar 2026 - 1:07

score 41 · Answer 13 · 2026-04-02 06:05:24

41

Views

Matrix Normalization via SVD decomposition

Published on 02 Apr 2026 - 6:05

score 71 · Answer 14 · 2022-07-08 23:34:21

71

Views

Determinant of an eigenmatrix of a symmetric positive definite matrix

Published on 08 Jul 2022 - 23:34

score 68 · Answer 15 · 2026-03-26 02:54:32

68

Views

Question about involutions and projections

Published on 26 Mar 2026 - 2:54

List Question

How to specify a $k$-periodic rotation matrix in $N$ dimensions that, when applied to any vector $k$ times, returns the original vector?

Is the space $\mathbb{PR}^3$ homeomorphic to $\mathbb{PR}^2\times S^1$?

Normal matrix is unitarily equivalent to a matrix with rational canonical form

Distances between points on a sphere determine them up to isometry

Make two matrices perpendicular by orthogonal transformation

Proving that the orthogonal group corresponding to a non-degenerate symmetric bilinear form over $\mathbb{C}$ is conjugate to $O(n,\mathbb{C})$?

In QR decomposition, why do we get a triangular matrix?

Disprove that AB orthogonal implies A and B orthogonal

What are the implicit conditions underlying the $J$ matrices for $J$-orthogonal matrices?

Trace-maximizing orthogonal rotation

Eigenvalues of a composition of matrices

Prove that for an orthogonal matrix $A$ and a certain reflection $R$, the $\mathbb C$-linear part of $RA$ is invertible

Matrix Normalization via SVD decomposition

Determinant of an eigenmatrix of a symmetric positive definite matrix

Question about involutions and projections

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