Infinitesimal rotation matrix: Difference between revisions

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==Order of rotations==
 
These matrices do not satisfy all the same properties as ordinary finite rotation matrices under the usual treatment of infinitesimals .<ref>{{Harv|Goldstein|Poole|Safko|2002|loc=§4.8}}</ref> To understand what this means, consider
 
:<math> dA_{\mathbf{x}} = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & -d\theta \\ 0 & d\theta & 1 \end{bmatrix}.</math>