Reflaxis

Let

be a reflection of the 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 on the contrary 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
Keywords: interactive mathematics, interactive math, server side interactivity, linear algebra, euclidean geometry, euclidean geometry, symmetry, axis, matrix, linear transform, affine transform, reflection

Reflaxis --- Introduction ---