List questions from orthogonal-matrices

Published on 17 Dec 2021 - 8:39

224

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Characteristic subgroups of $ SO(4) $

Published on 19 Dec 2021 - 20:19

248

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How would you encourage an orthogonal matrix to be a permutation matrix?

Published on 26 Mar 2026 - 14:42

143

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Fake Proof for Dimension of $SO(n)$ (rotations)?

Published on 01 Apr 2026 - 3:42

77

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Prove the existence of a CONTINUOUS rigid motion

Published on 31 Mar 2026 - 10:37

143

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Where is the error in my argument that SO(4) contains a 7-dimensional subspace?

Published on 29 Dec 2021 - 15:39

93

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If $B-A=ww^{\top}$ for symmetric and orthogonal matrices $A$ and $B$, how to show that $w$ has two nonzero entries?

Published on 30 Dec 2021 - 5:48

148

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Bernoulli random matrix

Published on 29 Mar 2026 - 22:27

61

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What about eigenvectors of orthogonal matrices?

Published on 01 Jan 2022 - 2:54

114

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Confusion regarding real inner-products and the spectral theorem for symmetric matrices

Published on 05 Jan 2022 - 20:55

115

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Why does gimbal lock occur “in two circles”?

Published on 08 Jan 2022 - 0:16

70

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How do I show that O(n) is compact?

Published on 09 Jan 2022 - 18:45

136

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Decomposition of $SO(n)$ into $SO(2)$ and inversions

Published on 10 Jan 2022 - 21:59

284

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Meaning of maximisation of the trace of a product of matrices

Published on 18 Jan 2022 - 17:20

381

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Confusion about connection between orthogonal matrices and rotation in higher dimensions

Published on 19 Jan 2022 - 3:52

List Question

Does $A^T A$ have complex eigenvalues?

Characteristic subgroups of $ SO(4) $

How would you encourage an orthogonal matrix to be a permutation matrix?

Fake Proof for Dimension of $SO(n)$ (rotations)?

Prove the existence of a CONTINUOUS rigid motion

Where is the error in my argument that SO(4) contains a 7-dimensional subspace?

If $B-A=ww^{\top}$ for symmetric and orthogonal matrices $A$ and $B$, how to show that $w$ has two nonzero entries?

Bernoulli random matrix

What about eigenvectors of orthogonal matrices?

Confusion regarding real inner-products and the spectral theorem for symmetric matrices

Why does gimbal lock occur “in two circles”?

How do I show that O(n) is compact?

Decomposition of $SO(n)$ into $SO(2)$ and inversions

Meaning of maximisation of the trace of a product of matrices

Confusion about connection between orthogonal matrices and rotation in higher dimensions

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