Affine mapping/One point suffices/Exercise
Let be a field, and let and denote affine spaces over the vector spaces and , respectively. Let a mapping
and a point be given such that
holds for all . Show that is affine-linear.
Let be a field, and let and denote affine spaces over the vector spaces and , respectively. Let a mapping
and a point be given such that
holds for all . Show that is affine-linear.