Active and passive transformation: Difference between revisions
→Example
(→See also: Inserted Rotation of axes and Translation of axes) 

== Example ==
As an example, in the vector space ℝ<sup>2</sup>, let {'''e'''<sub>1</sub>,'''e'''<sub>2</sub>} be a [[basis (linear algebra)basis]], and consider the vector '''v''' = ''v''<sup>1</sup>'''e'''<sub>1</sub> + ''v''<sup>2</sup>'''e'''<sub>2</sub>. A rotation of the vector through angle θ is given by the matrix:
:<math>R=
\begin{pmatrix}
