List questions from orthogonal-matrices

Published on 20 Oct 2019 - 12:39

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Let $v,w \in R^n$ with $||u||=||w||=1$. Prove that there exists orthogonal matrix $A$ such that $Av=w$.

Published on 22 Oct 2019 - 9:00

34

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Equation with orthogonal matrix

Published on 23 Oct 2019 - 15:41

116

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Relating orthogonal column distances to basis distances

Published on 26 Mar 2026 - 17:49

88

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What is the maximal compact subgroup of $SO(2,2)$?

Published on 28 Oct 2019 - 1:53

320

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A conceptual reason for why the Jacobian of a rotation by a changing angle is $1$?

Published on 31 Oct 2019 - 14:30

1k

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A real symmetric matrix with less than $n$ distinct eigenvalue

Published on 31 Oct 2019 - 15:02

992

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Prove that any orthogonal matrix is product of Householder reflections and diagonal matrices

Published on 25 Mar 2026 - 9:49

1.1k

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Proof of orthogonal transformation

Published on 04 Nov 2019 - 17:05

159

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Confusion regarding the proof that a matrix that preserves angles between vectors from Poole's Linear Algebra: A Modern Introduction

Published on 04 Nov 2019 - 23:11

3.7k

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How do I prove that the sum (or difference) of two orthogonal matrices are not orthogonal?

Published on 05 Nov 2019 - 13:33

356

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Centralizer of group of unit quaternions

Published on 07 Nov 2019 - 10:29

589

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Creating an Gaussian Orthogonal Matrix

Published on 26 Mar 2026 - 12:52

944

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Condition that a homogeneous second degree equation in three variables representing a cone.

Published on 25 Mar 2026 - 6:02

54

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Find orthogonal matrix

Published on 15 Nov 2019 - 12:47

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Terminology for orthogonal matrices with $\det(A) \neq \pm1$

Let $v,w \in R^n$ with $||u||=||w||=1$. Prove that there exists orthogonal matrix $A$ such that $Av=w$.

Equation with orthogonal matrix

Relating orthogonal column distances to basis distances

What is the maximal compact subgroup of $SO(2,2)$?

A conceptual reason for why the Jacobian of a rotation by a changing angle is $1$?

A real symmetric matrix with less than $n$ distinct eigenvalue

Prove that any orthogonal matrix is product of Householder reflections and diagonal matrices

Proof of orthogonal transformation

Confusion regarding the proof that a matrix that preserves angles between vectors from Poole's Linear Algebra: A Modern Introduction

How do I prove that the sum (or difference) of two orthogonal matrices are not orthogonal?

Centralizer of group of unit quaternions

Creating an Gaussian Orthogonal Matrix

Condition that a homogeneous second degree equation in three variables representing a cone.

Find orthogonal matrix

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