Question

Are rotation tensor matrix orthogonal in every base?

score 134 · Answer 1 · 2020-01-18 09:54:43

134

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Are rotation tensor matrix orthogonal in every base?

Published on 18 Jan 2020 - 9:54

score 730 · Answer 2 · 2026-03-27 00:58:56

730

Views

Given an $n \times n$ matrix $A$ with orthonormal columns, how does one show that $A$ has orthonormal rows?

Published on 27 Mar 2026 - 0:58

score 176 · Answer 3 · 2026-03-26 12:53:44

176

Views

Convergence of $A_n^{'}A_n$ to $I_k$ in probability implies $A^{-1}_n$ bounded in probability.

Published on 26 Mar 2026 - 12:53

score 1.3k · Answer 4 · 2020-01-22 07:55:08

1.3k

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Least Squares using QR for underdetermined system

Published on 22 Jan 2020 - 7:55

score 61 · Answer 5 · 2020-01-27 23:34:40

61

Views

Let $G=\{A \in GL(3, \mathbb R) \mid A\vec x = \vec x\}$. Suppose that $\vec x = [1\ 0\ 0]^T$. Describe all the orthogonal matrices in $G$

Published on 27 Jan 2020 - 23:34

score 104 · Answer 6 · 2026-03-26 21:57:28

104

Views

Conditions for $e^X$ to be an orthogonal matrix

Published on 26 Mar 2026 - 21:57

score 161 · Answer 7 · 2026-03-26 09:26:27

161

Views

How to define an antidiagonal positive definite matrix with a given structure?

Published on 26 Mar 2026 - 9:26

score 235 · Answer 8 · 2020-01-31 10:17:41

235

Views

Make two vectors mutually orthogonal while minimizing change to both vectors

Published on 31 Jan 2020 - 10:17

score 71 · Answer 9 · 2020-01-31 14:16:22

71

Views

Describe all orthogonal matrices in $G$

Published on 31 Jan 2020 - 14:16

score 68 · Answer 10 · 2020-02-04 23:55:17

68

Views

Construct $n \times n$ special orthogonal matrices, all the entries of the last row equalling $\frac{1}{\sqrt{n}}$

Published on 04 Feb 2020 - 23:55

score 222 · Answer 11 · 2020-02-06 19:11:06

222

Views

Dimension of connected components of $O(n)$

Published on 06 Feb 2020 - 19:11

score 30 · Answer 12 · 2020-02-18 14:57:08

30

Views

If two real vectors/signals are orthogonal, then are their associated complex vectors/signals also orthogonal?

Published on 18 Feb 2020 - 14:57

score 78 · Answer 13 · 2026-03-27 02:37:40

78

Views

Change of basis problem (as part of chi square goodness of fit proof)

Published on 27 Mar 2026 - 2:37

score 1.5k · Answer 14 · 2020-02-24 18:20:20

1.5k

Views

When is it it true that $AA^T=A^TA$?

Published on 24 Feb 2020 - 18:20

score 395 · Answer 15 · 2026-03-25 08:12:57

395

Views

Condition number of orthogonal matrices induced by the L1 norm

Published on 25 Mar 2026 - 8:12

List Question

Are rotation tensor matrix orthogonal in every base?

Given an $n \times n$ matrix $A$ with orthonormal columns, how does one show that $A$ has orthonormal rows?

Convergence of $A_n^{'}A_n$ to $I_k$ in probability implies $A^{-1}_n$ bounded in probability.

Least Squares using QR for underdetermined system

Let $G=\{A \in GL(3, \mathbb R) \mid A\vec x = \vec x\}$. Suppose that $\vec x = [1\ 0\ 0]^T$. Describe all the orthogonal matrices in $G$

Conditions for $e^X$ to be an orthogonal matrix

How to define an antidiagonal positive definite matrix with a given structure?

Make two vectors mutually orthogonal while minimizing change to both vectors

Describe all orthogonal matrices in $G$

Construct $n \times n$ special orthogonal matrices, all the entries of the last row equalling $\frac{1}{\sqrt{n}}$

Dimension of connected components of $O(n)$

If two real vectors/signals are orthogonal, then are their associated complex vectors/signals also orthogonal?

Change of basis problem (as part of chi square goodness of fit proof)

When is it it true that $AA^T=A^TA$?

Condition number of orthogonal matrices induced by the L1 norm

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