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• Rotation matrix
  In [[mathematics]] and [[physics]] a '''rotation matrix''' is synonymous with a 3&times;3 [[orthogonal matrix]], which is a matrix ...t{e}_x,\;\hat{e}_y,\;\hat{e}_z</math> along the axes, then the 3&times;3 ''rotation matrix'' <math>\mathbf{R}(\varphi, \hat{n})</math> is defined by its elements
  22 KB (3,624 words) - 01:45, 26 October 2013
• Rotation matrix/Definition
  122 bytes (14 words) - 03:42, 13 July 2009
• Rotation matrix/Related Articles
  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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• Rotation matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Rotation matrix]]. Needs checking by a human.
  631 bytes (81 words) - 20:07, 11 January 2010
• Identity matrix/Related Articles
  {{r|Rotation matrix}}
  965 bytes (124 words) - 17:23, 11 January 2010
• Euler angles/Related Articles
  {{r|Rotation matrix}}
  955 bytes (150 words) - 03:40, 13 July 2009
• Vector rotation
  ...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 V₁ into vector V₂, see [[rotation matrix]] and [[Euler angles]] for two alternative methods. Because they may lead
  4 KB (645 words) - 08:16, 22 April 2023
• Trace (mathematics)/Related Articles
  {{r|Rotation matrix}}
  645 bytes (81 words) - 21:03, 11 January 2010
• Kronecker delta/Related Articles
  {{r|Rotation matrix}}
  721 bytes (92 words) - 17:54, 11 January 2010
• Dyadic product/Related Articles
  {{r|Rotation matrix}}
  508 bytes (65 words) - 16:07, 11 January 2010
• Euler's theorem (rotation)
  ...a rotation is a linear map in one-to-one correspondence with a 3&times;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]] &plusmn;1, for invoking some properties of determinants
  12 KB (1,865 words) - 02:49, 19 April 2010
• Affine space/Related Articles
  {{r|Rotation matrix}}
  616 bytes (79 words) - 07:47, 8 January 2010
• Reflection (geometry)
  ...ns over 180°, see [[Rotation matrix#Explicit expression of rotation matrix|rotation matrix]].
  8 KB (1,366 words) - 09:12, 10 August 2009
• Vector field
  Indeed, if '''A''' is a [[rotation matrix]], a real 3&times;3 [[matrix]] obeying '''A'''^T'''A''' = '''E''
  5 KB (928 words) - 04:59, 9 December 2009
• Cartesian coordinates/Related Articles
  {{r|Rotation matrix}}
  879 bytes (114 words) - 03:09, 8 March 2024
• Euler angles
  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&times;3) matrix '''
  16 KB (2,502 words) - 12:28, 24 March 2010
• Euler's theorem (rotation)/Related Articles
  {{r|Rotation matrix}}
  852 bytes (135 words) - 02:37, 22 July 2009
• Rotation matrix
  In [[mathematics]] and [[physics]] a '''rotation matrix''' is synonymous with a 3&times;3 [[orthogonal matrix]], which is a matrix ...t{e}_x,\;\hat{e}_y,\;\hat{e}_z</math> along the axes, then the 3&times;3 ''rotation matrix'' <math>\mathbf{R}(\varphi, \hat{n})</math> is defined by its elements
  22 KB (3,624 words) - 01:45, 26 October 2013
• Scalar
  ...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 complex
  9 KB (1,373 words) - 06:21, 11 December 2009
• Euclidean space
  ...called an ''affine motion''; if furthermore '''c''' = '''0''' it is a [[rotation matrix|rotation]]. If '''A''' = '''E''' (the [[identity matrix]]), it is a transla
  9 KB (1,403 words) - 02:22, 14 October 2013
• Euler angles/Code
  C Determine Euler angles of the proper rotation matrix A.
  4 KB (503 words) - 10:22, 2 August 2009
• Spherical harmonics
  ...nitary]] and the spherical harmonics are [[orthonormal]], hence the Wigner rotation matrix is a unitary matrix:
  34 KB (5,282 words) - 14:21, 1 January 2011
• Conditioning (probability)
  Another example. A [[Rotation matrix#Uniform random rotation matrices|random rotation]] of the three-dimensional
  32 KB (5,149 words) - 15:48, 29 June 2009