List questions from orthogonal-matrices

Published on 13 Sep 2017 - 0:59

2.7k

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Calculating tangent spaces of Lie groups such as $SO(n)$ or $O(n)$

Published on 26 Mar 2026 - 1:04

103

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Sharp Lower Bound for Entrywise 1-norm of a Real Semi-Orthogonal Matrix

Published on 15 Sep 2017 - 1:05

81

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Multiplication of projectors

Published on 26 Mar 2026 - 2:54

24

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Expressing an operator in fixed-angle bases

Published on 19 Sep 2017 - 1:05

713

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Orthogonality of a matrix consisting of orthonormal vectors

Published on 25 Sep 2017 - 13:07

4.8k

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$|\text{det}(A)| = 1$ implies $A$ is orthogonal

Published on 27 Mar 2026 - 14:29

157

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Simple linear regression and sum of squared errors

Published on 30 Sep 2017 - 19:13

107

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Linear Algebra - Orthogonal Matrices

Published on 02 Oct 2017 - 9:24

917

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Metric/Topology on the Orthogonal group

Published on 26 Mar 2026 - 12:57

91

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Is this statement true $AA^t = A^{-1}$

Published on 09 Oct 2017 - 11:38

1.7k

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Why can any orthogonal matrix be written as $O=e^A$?

Published on 28 Mar 2026 - 5:58

500

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Singular values uniquely determined for a matrix, does that mean $A=B$ IFF $\Sigma_A=\Sigma_B$?

Published on 27 Mar 2026 - 16:21

8.2k

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Prove that orthogonal matrix $Q$ preserves operator norm i.e. $||AQ||_2 = ||A||_2$

Published on 17 Oct 2017 - 10:34

5.6k

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Confusion on terminology: "vector rejection", "vector projection", and "orthogonal projection"?

Published on 27 Mar 2026 - 23:00

List Question

Does there exist a base of $M(n, \mathbb{R})$ of elements of $SO(n)$?

Calculating tangent spaces of Lie groups such as $SO(n)$ or $O(n)$

Sharp Lower Bound for Entrywise 1-norm of a Real Semi-Orthogonal Matrix

Multiplication of projectors

Expressing an operator in fixed-angle bases

Orthogonality of a matrix consisting of orthonormal vectors

$|\text{det}(A)| = 1$ implies $A$ is orthogonal

Simple linear regression and sum of squared errors

Linear Algebra - Orthogonal Matrices

Metric/Topology on the Orthogonal group

Is this statement true $AA^t = A^{-1}$

Why can any orthogonal matrix be written as $O=e^A$?

Singular values uniquely determined for a matrix, does that mean $A=B$ IFF $\Sigma_A=\Sigma_B$?

Prove that orthogonal matrix $Q$ preserves operator norm i.e. $||AQ||_2 = ||A||_2$

Confusion on terminology: "vector rejection", "vector projection", and "orthogonal projection"?

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