List questions from orthogonal-matrices

Published on 22 Jun 2016 - 12:36

356

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Polar set of orthogonal matrices set is nuclear norm ball

Published on 22 Jun 2016 - 18:26

86

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Are the groups $G:=\{A \in M(n,\mathbb R) : A=A^t\}$ i.e. the group ( under addition ) of symmetric matrices and $O(n,\mathbb R)$ isomorphic?

Published on 25 Jun 2016 - 14:18

2.1k

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Improper rotation matrix in $2D$

Published on 27 Jun 2016 - 7:32

130

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Proof of the rotation matrix is an extreme point of $\text{conv } SO(n)$

Published on 30 Jun 2016 - 22:13

181

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Norms (eigenvalues) of sums of orthogonal matrices

Published on 03 Jul 2016 - 17:10

3.8k

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constructive canonical form of orthogonal matrix

Published on 27 Mar 2026 - 10:08

2.9k

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Convex hull of orthogonal matrices

Published on 25 Mar 2026 - 16:01

12.9k

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Orthogonal matrices form a compact set

Published on 19 Jul 2013 - 3:53

6.6k

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Is sum of two orthogonal matrices singular?

Published on 12 Sep 2013 - 5:06

858

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Convex combination of orthogonal matrices

Published on 27 Sep 2013 - 21:31

1.8k

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Determine the matrices that represent the following rotations of $\mathbb{R}^3$

Published on 09 Oct 2013 - 2:27

27.1k

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Proof of orthogonal matrix property: $A^{-1} = A^t$

Published on 23 Oct 2013 - 18:16

8.4k

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Center of the Orthogonal Group and Special Orthogonal Group

Published on 06 Nov 2013 - 23:09

24k

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Why are orthogonal matrices generalizations of rotations and reflections?

Published on 27 Mar 2026 - 2:39

List Question

Finding an orthogonal matrix for a 3x2

Polar set of orthogonal matrices set is nuclear norm ball

Are the groups $G:=\{A \in M(n,\mathbb R) : A=A^t\}$ i.e. the group ( under addition ) of symmetric matrices and $O(n,\mathbb R)$ isomorphic?

Improper rotation matrix in $2D$

Proof of the rotation matrix is an extreme point of $\text{conv } SO(n)$

Norms (eigenvalues) of sums of orthogonal matrices

constructive canonical form of orthogonal matrix

Convex hull of orthogonal matrices

Orthogonal matrices form a compact set

Is sum of two orthogonal matrices singular?

Convex combination of orthogonal matrices

Determine the matrices that represent the following rotations of $\mathbb{R}^3$

Proof of orthogonal matrix property: $A^{-1} = A^t$

Center of the Orthogonal Group and Special Orthogonal Group

Why are orthogonal matrices generalizations of rotations and reflections?

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