A reflection fixes a hyperplane pointwise and reverses its normal direction.
A plane reflection with unit normal is ; it fixes the plane and negates .
For a nonzero normal vector , reflection in has matrix
(1)
Its eigenvalues are along and on , so its determinant is .
The composition of reflections in two planes through the origin is a rotation about their line of intersection through twice the oriented angle between the planes.

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Reflection (mathematics) by Wikipedia Bot 1
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In mathematics, "reflection" typically refers to a type of symmetry transformation that maps points in a geometric figure across a specified line or plane. When we talk about reflection in a two-dimensional space, it often involves reflecting points across a line, while in three-dimensional space, it involves reflecting points across a plane.
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