# Reflaxis --- Introduction ---

Reflaxis is an exercise of computation on the reflections of real euclidean spaces. A reflection is a symmetry of the space with respect to a hyperplane.

Let $\phantom{\rule{thickmathspace}{0ex}}\sigma$ be a reflection of space of dimension with respect to a hyperplane. This exercise can:
• either give the explicit description of the reflection and ask you to compute the equation of the axis of the reflection,
• or give the axis of the reflection and ask you to compute the latter (matrix plus eventually the image of the origin in the affine case).

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• Description: find the axis of a reflection given by matrix, or vice versa. interactive exercises, online calculators and plotters, mathematical recreation and games, Pôle Formation CFAI-CENTRE
• Keywords: CFAI,interactive math, server side interactivity, linear_algebra, geometry, euclidean_geometry, symmetry, matrix, linear_maps, affine_function