Question

Find a mapping from $R^{n \times n}$ to orthogonal matrices in the unit sphere such that distances do not increase.

score 33 · Answer 1 · 2026-03-25 04:58:45

33

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Find a mapping from $R^{n \times n}$ to orthogonal matrices in the unit sphere such that distances do not increase.

Published on 25 Mar 2026 - 4:58

score 190 · Answer 2 · 2026-03-22 19:54:29

190

Views

Spheres and orthogonal matrices as spaces of solutions to matrix equations

Published on 22 Mar 2026 - 19:54

score 2.1k · Answer 3 · 2026-03-25 21:31:30

2.1k

Views

What is the physical significance of the determinants of orthogonal matrices having the value of $\pm 1$?

Published on 25 Mar 2026 - 21:31

score 68 · Answer 4 · 2026-03-25 19:03:53

68

Views

Name of orthogonal/unitary matrix decomposition?

Published on 25 Mar 2026 - 19:03

score 685 · Answer 5 · 2018-08-13 09:01:14

685

Views

Properties of orthogonal matrix

Published on 13 Aug 2018 - 9:01

score 537 · Answer 6 · 2026-03-25 04:40:56

537

Views

If the product of two orthogonal matrices is diagonal, is there a relation between the matrices?

Published on 25 Mar 2026 - 4:40

score 374 · Answer 7 · 2026-03-24 23:52:48

374

Views

Reflection matrix - are these two definitions equivalent?

Published on 24 Mar 2026 - 23:52

score 491 · Answer 8 · 2018-08-30 00:03:12

491

Views

Characteristic polynomial roots of $ 3\times 3$ orthogonal matrix.

Published on 30 Aug 2018 - 0:03

score 340 · Answer 9 · 2026-03-25 19:10:03

340

Views

Can we characterize the equivalence classes of matrices up to left multiplication by an orthogonal matrix?

Published on 25 Mar 2026 - 19:10

score 166 · Answer 10 · 2018-08-30 15:26:52

166

Views

$3\times 3$ rotation matrix from axis of rotation and Angle

Published on 30 Aug 2018 - 15:26

score 2.1k · Answer 11 · 2018-09-02 11:13:06

2.1k

Views

If matrix $A$ orthogonal then $A^2$ is orthogonal?

Published on 02 Sep 2018 - 11:13

score 104 · Answer 12 · 2026-03-25 14:25:48

104

Views

Is $Av_1,Av_2,Av_3$ orthogonal if you have eigenvector of $A^TA$

Published on 25 Mar 2026 - 14:25

score 1k · Answer 13 · 2018-09-04 10:40:38

1k

Views

If matrix $A$ has orthogonal columns, then what is solution of $Ax=b$

Published on 04 Sep 2018 - 10:40

score 1.1k · Answer 14 · 2018-09-04 11:15:26

1.1k

Views

Do QR and RQ have the same eigenvalues

Published on 04 Sep 2018 - 11:15

score 40 · Answer 15 · 2026-03-25 17:18:23

40

Views

Transformation matrix for Higgs Doublet

Published on 25 Mar 2026 - 17:18

List Question

Find a mapping from $R^{n \times n}$ to orthogonal matrices in the unit sphere such that distances do not increase.

Spheres and orthogonal matrices as spaces of solutions to matrix equations

What is the physical significance of the determinants of orthogonal matrices having the value of $\pm 1$?

Name of orthogonal/unitary matrix decomposition?

Properties of orthogonal matrix

If the product of two orthogonal matrices is diagonal, is there a relation between the matrices?

Reflection matrix - are these two definitions equivalent?

Characteristic polynomial roots of $ 3\times 3$ orthogonal matrix.

Can we characterize the equivalence classes of matrices up to left multiplication by an orthogonal matrix?

$3\times 3$ rotation matrix from axis of rotation and Angle

If matrix $A$ orthogonal then $A^2$ is orthogonal?

Is $Av_1,Av_2,Av_3$ orthogonal if you have eigenvector of $A^TA$

If matrix $A$ has orthogonal columns, then what is solution of $Ax=b$

Do QR and RQ have the same eigenvalues

Transformation matrix for Higgs Doublet

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