Question

Calculate rotation matrix to rotate a matrix A (3d points x,y,z) to be orthogonal by 3D normal vector N

score 114 · Answer 1 · 2022-09-12 15:18:55

114

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Calculate rotation matrix to rotate a matrix A (3d points x,y,z) to be orthogonal by 3D normal vector N

Published on 12 Sep 2022 - 15:18

score 60 · Answer 2 · 2022-09-12 17:35:42

60

Views

Degree of the switch map

Published on 12 Sep 2022 - 17:35

score 141 · Answer 3 · 2026-03-28 00:48:12

141

Views

The convex hull of rotations does not contain reflections

Published on 28 Mar 2026 - 0:48

score 55 · Answer 4 · 2022-09-15 22:58:07

55

Views

Necessary and sufficient conditions for an existence of an orthogonal matrix$P~$ s.t. $~P^{-1}AP~$is diagonal, using$~a~$which is one of entries of$A$

Published on 15 Sep 2022 - 22:58

score 62 · Answer 5 · 2022-09-21 19:33:54

62

Views

Understanding why the inverse of an ortogonal matrix is its transpose

Published on 21 Sep 2022 - 19:33

score 267 · Answer 6 · 2022-09-27 12:20:33

267

Views

3D rotation matrix question: Extension of Wahba's Problem

Published on 27 Sep 2022 - 12:20

score 81 · Answer 7 · 2022-09-28 11:20:15

81

Views

Maximizing $\mbox{tr} \left( {\bf X}^{-1} {\bf A} {\bf X} {\bf B} + 2 {\bf X} {\bf C} \right)$ subject to ${\bf X} {\bf X}^\top = \gamma {\bf I}$

Published on 28 Sep 2022 - 11:20

score 50 · Answer 8 · 2026-03-27 04:38:24

50

Views

A skew symmetric and orthogonal matrix has eigen values (3/5) + (4i/5). How can this be possible? It must have 0 or purely imaginary values. Problem 1

Published on 27 Mar 2026 - 4:38

score 53 · Answer 9 · 2022-10-05 06:31:11

53

Views

Show that a matrix has a Cholesky factorization providing that it can be written as a product of a matrix and its transpose

Published on 05 Oct 2022 - 6:31

score 56 · Answer 10 · 2026-04-01 15:37:00

56

Views

Non-square orthogonal matrix $B$ with $B^TB=I$

Published on 01 Apr 2026 - 15:37

score 69 · Answer 11 · 2026-03-31 14:16:31

69

Views

Orthogonal projection of a matrix onto the line

Published on 31 Mar 2026 - 14:16

score 51 · Answer 12 · 2022-10-09 23:28:55

51

Views

Quadratic form and orthogonality

Published on 09 Oct 2022 - 23:28

score 41 · Answer 13 · 2022-10-11 08:56:00

41

Views

Relationship between rows and columns of an orthogonal matrix in a spectral decomposition

Published on 11 Oct 2022 - 8:56

score 27 · Answer 14 · 2022-10-13 14:12:13

27

Views

Preservation of angles

Published on 13 Oct 2022 - 14:12

score 80 · Answer 15 · 2026-04-02 09:25:55

80

Views

rotationally invariant matrix function

Published on 02 Apr 2026 - 9:25

List Question

Calculate rotation matrix to rotate a matrix A (3d points x,y,z) to be orthogonal by 3D normal vector N

Degree of the switch map

The convex hull of rotations does not contain reflections

Necessary and sufficient conditions for an existence of an orthogonal matrix$P~$ s.t. $~P^{-1}AP~$is diagonal, using$~a~$which is one of entries of$A$

Understanding why the inverse of an ortogonal matrix is its transpose

3D rotation matrix question: Extension of Wahba's Problem

Maximizing $\mbox{tr} \left( {\bf X}^{-1} {\bf A} {\bf X} {\bf B} + 2 {\bf X} {\bf C} \right)$ subject to ${\bf X} {\bf X}^\top = \gamma {\bf I}$

A skew symmetric and orthogonal matrix has eigen values (3/5) + (4i/5). How can this be possible? It must have 0 or purely imaginary values. Problem 1

Show that a matrix has a Cholesky factorization providing that it can be written as a product of a matrix and its transpose

Non-square orthogonal matrix $B$ with $B^TB=I$

Orthogonal projection of a matrix onto the line

Quadratic form and orthogonality

Relationship between rows and columns of an orthogonal matrix in a spectral decomposition

Preservation of angles

rotationally invariant matrix function

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