List questions from orthogonal-matrices

Published on 01 Sep 2020 - 3:00

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Show that triple product is invariant under rotations

Published on 03 Sep 2020 - 18:38

77

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How can I show from $AA'=PP'=C$ that $A$ is an orthonormal transformation of $P$?

Published on 25 Mar 2026 - 14:36

66

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Property of Orthogonal matrix

Published on 10 Sep 2020 - 21:12

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Independence of sum and difference of two independent standard normal random variables. Why?

Published on 13 Sep 2020 - 17:50

295

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How can you show that an orthonormal basis can be expressed as the sum of a different orthonormal basis and the standard basis?

Published on 14 Sep 2020 - 9:25

119

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How to calculate the SVD of a $3×3$ diagonal only matrix without computing the eigenvalues explicitly.

Published on 26 Mar 2026 - 13:57

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Irreducible representations of $SO(N)$

Published on 21 Sep 2020 - 18:34

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$P \in \text {SO}_{n} (\Bbb R)$ if $P$ is orthogonal and $P^{-1} A P$ is diagonal with $A$ symmetric?

Published on 03 Oct 2020 - 8:15

166

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Frobenius norm optimization problem

Published on 23 Feb 2026 - 7:13

127

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Exponential map from o(n) to O(n)

Published on 26 Mar 2026 - 9:49

46

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Necessary condition for rows of a matrix to be mutually orthogonal

Published on 06 Oct 2020 - 17:46

610

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Linear transformation which preserves angle

Published on 09 Oct 2020 - 12:53

35

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$Q^T\dot{Q}=\text{constant}$ if $Q$ is an orthogonal matrix?

Published on 21 Oct 2020 - 18:13

219

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A QR factorization of a $A - Qe_1 e_1^* R$.

Published on 26 Oct 2020 - 3:03

List Question

Further Solving for Orthogonal Projections in subspace gives incorrect result

Show that triple product is invariant under rotations

How can I show from $AA'=PP'=C$ that $A$ is an orthonormal transformation of $P$?

Property of Orthogonal matrix

Independence of sum and difference of two independent standard normal random variables. Why?

How can you show that an orthonormal basis can be expressed as the sum of a different orthonormal basis and the standard basis?

How to calculate the SVD of a $3×3$ diagonal only matrix without computing the eigenvalues explicitly.

Irreducible representations of $SO(N)$

$P \in \text {SO}_{n} (\Bbb R)$ if $P$ is orthogonal and $P^{-1} A P$ is diagonal with $A$ symmetric?

Frobenius norm optimization problem

Exponential map from o(n) to O(n)

Necessary condition for rows of a matrix to be mutually orthogonal

Linear transformation which preserves angle

$Q^T\dot{Q}=\text{constant}$ if $Q$ is an orthogonal matrix?

A QR factorization of a $A - Qe_1 e_1^* R$.

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