Question

$SO(N)$ generators to generate a basis for the space of $N\times N$ matrices

score 351 · Answer 1 · 2018-09-10 15:47:59

351

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$SO(N)$ generators to generate a basis for the space of $N\times N$ matrices

Published on 10 Sep 2018 - 15:47

score 268 · Answer 2 · 2018-09-16 00:05:16

268

Views

If $V \in \mathbb{R}^{n \times n}$ is an orthogonal matrix, and $V^T e=0$, ($e$ is the ones vector) then is it true $V_m^T e = 0\, \forall \, m<n$?

Published on 16 Sep 2018 - 0:05

score 903 · Answer 3 · 2018-09-17 21:57:31

903

Views

Do all orthogonal matrices satisfy both $Q^TQ = I$ and $QQ^T = I$?

Published on 17 Sep 2018 - 21:57

score 1.3k · Answer 4 · 2018-09-25 12:50:41

1.3k

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Orthogonal Block Matrix

Published on 25 Sep 2018 - 12:50

score 670 · Answer 5 · 2026-03-25 09:53:36

670

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All connected closed subgroups in $\rm{SO}(3)$

Published on 25 Mar 2026 - 9:53

score 349 · Answer 6 · 2026-03-25 03:00:56

349

Views

Classical Lie group quotient-ed by its maximal parabolic subgroup

Published on 25 Mar 2026 - 3:00

score 824 · Answer 7 · 2018-09-28 21:47:37

824

Views

$A^TA=B^TB$. Is $A=QB$ for some orthogonal $Q$?

Published on 28 Sep 2018 - 21:47

score 2.5k · Answer 8 · 2018-10-01 18:38:22

2.5k

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if $Q^TQ = I$, can we get $QQ^T=I$

Published on 01 Oct 2018 - 18:38

score 39 · Answer 9 · 2018-10-02 02:08:27

39

Views

If vector $y_1 = (1,2,3)$ and $y_2 = (4,5,6)$, how to calculate orthogonal projector $\prod\{y_1\}$ onto subspace spaned by the vectors $y_1,y_2$?

Published on 02 Oct 2018 - 2:08

score 44 · Answer 10 · 2018-10-03 16:35:53

44

Views

On a special decomposition of a $3\times 3$ matrix

Published on 03 Oct 2018 - 16:35

score 311 · Answer 11 · 2026-03-23 14:15:38

311

Views

Project an orthogonal matrix onto the Birkhoff Polytope

Published on 23 Mar 2026 - 14:15

score 182 · Answer 12 · 2018-10-18 07:20:59

182

Views

Prove matrix $A=(\cos\langle\alpha_i,\epsilon_j\rangle)_{n\times n}$ is orthogonal

Published on 18 Oct 2018 - 7:20

score 190 · Answer 13 · 2026-03-22 05:07:17

190

Views

Equivalence classes of orthogonal matrices

Published on 22 Mar 2026 - 5:07

score 200 · Answer 14 · 2018-10-21 19:55:26

200

Views

Linear-algebra first course problem about orthogonal matrices

Published on 21 Oct 2018 - 19:55

score 109 · Answer 15 · 2018-10-22 14:10:10

109

Views

Is the solution to $A-O(A)=\tilde \Sigma$ unique?

Published on 22 Oct 2018 - 14:10

List Question

$SO(N)$ generators to generate a basis for the space of $N\times N$ matrices

If $V \in \mathbb{R}^{n \times n}$ is an orthogonal matrix, and $V^T e=0$, ($e$ is the ones vector) then is it true $V_m^T e = 0\, \forall \, m<n$?

Do all orthogonal matrices satisfy both $Q^TQ = I$ and $QQ^T = I$?

Orthogonal Block Matrix

All connected closed subgroups in $\rm{SO}(3)$

Classical Lie group quotient-ed by its maximal parabolic subgroup

$A^TA=B^TB$. Is $A=QB$ for some orthogonal $Q$?

if $Q^TQ = I$, can we get $QQ^T=I$

If vector $y_1 = (1,2,3)$ and $y_2 = (4,5,6)$, how to calculate orthogonal projector $\prod\{y_1\}$ onto subspace spaned by the vectors $y_1,y_2$?

On a special decomposition of a $3\times 3$ matrix

Project an orthogonal matrix onto the Birkhoff Polytope

Prove matrix $A=(\cos\langle\alpha_i,\epsilon_j\rangle)_{n\times n}$ is orthogonal

Equivalence classes of orthogonal matrices

Linear-algebra first course problem about orthogonal matrices

Is the solution to $A-O(A)=\tilde \Sigma$ unique?

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