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- In [[mathematics]] and [[physics]] a '''rotation matrix''' is synonymous with a 3×3 [[orthogonal matrix]], which is a matrix ...t{e}_x,\;\hat{e}_y,\;\hat{e}_z</math> along the axes, then the 3×3 ''rotation matrix'' <math>\mathbf{R}(\varphi, \hat{n})</math> is defined by its elements22 KB (3,624 words) - 01:45, 26 October 2013
- 122 bytes (14 words) - 03:42, 13 July 2009
- Auto-populated based on [[Special:WhatLinksHere/Rotation matrix]]. Needs checking by a human.631 bytes (81 words) - 20:07, 11 January 2010
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- Auto-populated based on [[Special:WhatLinksHere/Rotation matrix]]. Needs checking by a human.631 bytes (81 words) - 20:07, 11 January 2010
- {{r|Rotation matrix}}1 KB (136 words) - 07:01, 31 August 2024
- ...calculated individually, a more economical method is to calculate a single rotation matrix for the entire tank and apply that solution to every current position of th ...e) needed to convert vector V<sub>1</sub> into vector V<sub>2</sub>, see [[rotation matrix]] and [[Euler angles]] for two alternative methods. Because they may lead4 KB (645 words) - 08:16, 22 April 2023
- {{r|Rotation matrix}}645 bytes (81 words) - 21:03, 11 January 2010
- {{r|Rotation matrix}}1 KB (164 words) - 07:00, 14 August 2024
- {{r|Rotation matrix}}871 bytes (111 words) - 07:00, 9 September 2024
- ...a rotation is a linear map in one-to-one correspondence with a 3×3 [[rotation matrix]] '''R''', i.e, a matrix for which ...entity matrix and superscript T indicates the transposed matrix. Clearly a rotation matrix has [[determinant]] ±1, for invoking some properties of determinants12 KB (1,869 words) - 07:00, 14 August 2024
- ...ns over 180°, see [[Rotation matrix#Explicit expression of rotation matrix|rotation matrix]].8 KB (1,366 words) - 09:12, 10 August 2009
- Indeed, if '''A''' is a [[rotation matrix]], a real 3×3 [[matrix]] obeying '''A'''<sup>T</sup>'''A''' = '''E''5 KB (928 words) - 04:59, 9 December 2009
- {{r|Rotation matrix}}648 bytes (83 words) - 12:00, 9 August 2024
- {{r|Rotation matrix}}500 bytes (64 words) - 07:00, 14 August 2024
- {{r|Rotation matrix}}705 bytes (84 words) - 12:00, 27 August 2024
- Write <math>\mathbf{R}(\varphi, \hat{n})</math> for the [[rotation matrix]] that describes a rotation around the unit vector <math>\hat{n}</math> ove ...he first equality (reversal of the order in the angles), a property of [[rotation matrix|rotation matrices]] is used. A rotation (orthogonal 3×3) matrix '''16 KB (2,506 words) - 07:00, 14 August 2024
- {{r|Rotation matrix}}786 bytes (101 words) - 07:00, 7 July 2024
- {{r|Rotation matrix}}1 KB (137 words) - 12:00, 25 July 2024
- In [[mathematics]] and [[physics]] a '''rotation matrix''' is synonymous with a 3×3 [[orthogonal matrix]], which is a matrix ...t{e}_x,\;\hat{e}_y,\;\hat{e}_z</math> along the axes, then the 3×3 ''rotation matrix'' <math>\mathbf{R}(\varphi, \hat{n})</math> is defined by its elements22 KB (3,624 words) - 01:45, 26 October 2013
- {{r|Rotation matrix}}953 bytes (149 words) - 07:00, 14 August 2024
- ...complex or real (if the space is real and 3-dimensional it is called a [[rotation matrix|rotation]]). The [[determinant]] of a unitary transformation is a complex9 KB (1,373 words) - 06:21, 11 December 2009
- ...called an ''affine motion''; if furthermore '''c''' = '''0''' it is a [[rotation matrix|rotation]]. If '''A''' = '''E''' (the [[identity matrix]]), it is a transla9 KB (1,407 words) - 07:00, 14 August 2024
- C Determine Euler angles of the proper rotation matrix A.4 KB (503 words) - 10:22, 2 August 2009