List questions from orthogonal-matrices

Published on 25 Mar 2026 - 9:48

866

Views

Set invariant under group action

Published on 26 Mar 2026 - 1:27

40

Views

Polar of orthogonal set invariant under group action

Published on 26 Mar 2026 - 3:12

334

Views

Is there a characterization of linear isomorphisms of the space of skew symmetric matrices?

Published on 07 Jul 2016 - 19:32

89

Views

Is a matrix that is orthogonally diagonalizable a projection matrix?

Published on 08 Jul 2016 - 8:28

121

Views

Calculating $\|A\|_2$ in terms of eigenvalues of $A^\ast A$

Published on 26 Mar 2026 - 11:05

1k

Views

Least squares solutions and orthogonal projection?

Published on 24 Jul 2016 - 3:35

130

Views

Isomorphism between $O(2n,\mathbb{R})$ and $O(n,n,\mathbb{R})$ and same question for their Lie algbera

Published on 31 Jul 2016 - 8:11

636

Views

What is the equation of the orthogonal group (as a variety/manifold)?

Published on 07 Aug 2016 - 2:54

382

Views

What can be said about a convex combination of orthogonal matrices?

Published on 12 Aug 2016 - 17:56

144

Views

Multiplicativity of "isometric projections" and commutation of matrices

Published on 14 Aug 2016 - 9:48

1.5k

Views

Convex hull of rotation matrices is closed and contains the origin

Published on 25 Mar 2026 - 23:39

51

Views

Rigorous way to show a continuous function of matrices is orthogonal

Published on 06 Sep 2016 - 8:51

86

Views

Are the following two sets of rank one, trace one, PSD matrices isomorphic?

Published on 25 Mar 2026 - 22:30

30

Views

Is it true $GS(TA)=T GS(A)$ where GS denotes the Gram Schmidt process and $T \in O(n,\mathbb R)$?

Published on 11 Sep 2016 - 9:10

List Question

Uniqueness of orthogonal "permuting" matrices

Set invariant under group action

Polar of orthogonal set invariant under group action

Is there a characterization of linear isomorphisms of the space of skew symmetric matrices?

Is a matrix that is orthogonally diagonalizable a projection matrix?

Calculating $\|A\|_2$ in terms of eigenvalues of $A^\ast A$

Least squares solutions and orthogonal projection?

Isomorphism between $O(2n,\mathbb{R})$ and $O(n,n,\mathbb{R})$ and same question for their Lie algbera

What is the equation of the orthogonal group (as a variety/manifold)?

What can be said about a convex combination of orthogonal matrices?

Multiplicativity of "isometric projections" and commutation of matrices

Convex hull of rotation matrices is closed and contains the origin

Rigorous way to show a continuous function of matrices is orthogonal

Are the following two sets of rank one, trace one, PSD matrices isomorphic?

Is it true $GS(TA)=T GS(A)$ where GS denotes the Gram Schmidt process and $T \in O(n,\mathbb R)$?

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