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Encyclopedia > Affine

For uses in mathematics see:

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Affine transformation - Wikipedia, the free encyclopedia (1053 words)
An affine transformation is invertible iff A is invertible.
The invertible affine transformation form the affine group, which has the general linear group of degree n as subgroup and itself is a subgroup of the general linear group of degree n+1.
An affine subspace of a vector space (sometimes called a linear manifold) is a coset of a linear subspace; i.e., it is the result of adding a constant vector to every element of the linear subspace.
Affine geometry - Wikipedia, the free encyclopedia (746 words)
In geometry, affine geometry is geometry not involving any notions of origin, length or angle, but with the notion of subtraction of points giving a vector.
Affine geometry can be explained as the geometry of vectors, not involving any notions of length or angle.
Affine space is distinguished from a vector space of the same dimension by 'forgetting' the origin 0.
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