List questions from orthogonal-matrices

Published on 12 Apr 2026 - 17:46

186

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What does $A^{-1}=A^T$ have to do with “orthogonality”?

Published on 11 Apr 2026 - 18:53

188

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Prove that $HAH^{-1} = \left( \begin{smallmatrix} \lambda_{1} & b^{t} \\ 0 & B \\ \end{smallmatrix} \right) $

Published on 14 Apr 2026 - 0:30

742

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Parametrization of $SO(N)$ using unit vectors

Published on 10 May 2026 - 15:44

44

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Whether $SO_k(\mathbb{Q})\subsetneq SO_k(\mathbb{Q(\sqrt{n})})$

Published on 16 Apr 2026 - 21:29

240

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Formulas for Euler Axis components

Published on 14 Apr 2026 - 12:23

164

Views

$L_{1,1}$-norm and orthonormal matrices

Published on 14 Apr 2026 - 23:35

887

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SVD of orthogonal matrix and multiplying the left and right singular matrices?

Published on 15 Apr 2026 - 23:20

395

Views

Matrix inversion problem in ridge regression

Published on 12 Apr 2026 - 2:15

520

Views

Projection onto the set of orthogonal matrices

Published on 04 May 2026 - 13:51

692

Views

Matrix norm/Frobenius norm inner product simplification

Published on 13 Apr 2026 - 13:47

32

Views

Instability of even windings of SO(4)

Published on 14 Apr 2026 - 14:33

268

Views

Orthogonal Procrustes Problem Proof

Published on 12 Apr 2026 - 4:20

506

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Changing bases for orthogonal matrix

Published on 14 Apr 2026 - 20:12

431

Views

If the matrix representation of an orthogonal transformation with respect to a basis is an orthogonal matrix, the basis is an orthonormal basis?

Published on 15 Apr 2026 - 4:04

List Question

Find cross product of other part of orthogonal linear transformation of matrix

What does $A^{-1}=A^T$ have to do with “orthogonality”?

Prove that $HAH^{-1} = \left( \begin{smallmatrix} \lambda_{1} & b^{t} \\ 0 & B \\ \end{smallmatrix} \right) $

Parametrization of $SO(N)$ using unit vectors

Whether $SO_k(\mathbb{Q})\subsetneq SO_k(\mathbb{Q(\sqrt{n})})$

Formulas for Euler Axis components

$L_{1,1}$-norm and orthonormal matrices

SVD of orthogonal matrix and multiplying the left and right singular matrices?

Matrix inversion problem in ridge regression

Projection onto the set of orthogonal matrices

Matrix norm/Frobenius norm inner product simplification

Instability of even windings of SO(4)

Orthogonal Procrustes Problem Proof

Changing bases for orthogonal matrix

If the matrix representation of an orthogonal transformation with respect to a basis is an orthogonal matrix, the basis is an orthonormal basis?

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