List questions from orthogonal-matrices

Published on 23 Dec 2016 - 20:01

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Finding symmetric positive definite matrix A for A-conjugate vectors.

Published on 30 Dec 2016 - 12:00

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Is it possible to have a $3 \times 3$ matrix that is both orthogonal and skew-symmetric?

Published on 26 Mar 2026 - 1:29

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Normal Subgroups of $O(n)$

Published on 20 Jan 2017 - 12:43

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Constructing an orthogonal matrix.

Published on 28 Mar 2026 - 2:59

366

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Singular value decomposition of a low rank weak diagonally dominant M-matrix. When is the unitary polar matrix positive semi-definite?

Published on 25 Jan 2017 - 22:28

627

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For two points in $\mathbb{R}^n$ with same norm there exists orthogonal matrix $A$ such that $x' = Ax$

Published on 28 Jan 2017 - 20:25

110

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Orthogonal Projection onto a Sub-space

Published on 04 Feb 2017 - 4:30

28

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Findind the infimum of an isometry

Published on 27 Mar 2026 - 7:49

199

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Semidirect product structure on orthogonal group

Published on 15 Feb 2017 - 0:32

24

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matrix law: $\sum_m a_{im}\,a_{jm}\,a_{km}\,a_{lm} >0$ for certain $(i,j,k,l)$

Published on 27 Mar 2026 - 1:59

78

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Is there a relationship between a Householder reflection and one caused by subtracting unit vectors?

Published on 25 Mar 2026 - 20:42

655

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Moore-Penrose matrix times original matrix gives identity

Published on 20 Feb 2017 - 4:11

920

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Uniformly random matrices in SO(n)

Published on 27 Mar 2026 - 0:09

3k

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Prove or Disprove That Orthogonal Matrices Commute with Skew-Symmetric Matrices

Published on 26 Feb 2017 - 9:46

List Question

Special Orthogonal Group $SO(2)$

Finding symmetric positive definite matrix A for A-conjugate vectors.

Is it possible to have a $3 \times 3$ matrix that is both orthogonal and skew-symmetric?

Normal Subgroups of $O(n)$

Constructing an orthogonal matrix.

Singular value decomposition of a low rank weak diagonally dominant M-matrix. When is the unitary polar matrix positive semi-definite?

For two points in $\mathbb{R}^n$ with same norm there exists orthogonal matrix $A$ such that $x' = Ax$

Orthogonal Projection onto a Sub-space

Findind the infimum of an isometry

Semidirect product structure on orthogonal group

matrix law: $\sum_m a_{im}\,a_{jm}\,a_{km}\,a_{lm} >0$ for certain $(i,j,k,l)$

Is there a relationship between a Householder reflection and one caused by subtracting unit vectors?

Moore-Penrose matrix times original matrix gives identity

Uniformly random matrices in SO(n)

Prove or Disprove That Orthogonal Matrices Commute with Skew-Symmetric Matrices

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