In
mathematics, an
affine subspace is a
subset of a
linear space with the property that any
affine combination of
vectors in the affine subspace is also in the affine subspace. An affine subspace differs from a
linear subspace in that an affine subspace does not necessarily contain the zero vector (i.e. the
origin).
For example, any arbitrary plane in 3-space is an affine subspace of 3-space.