Affine map (source code)

= Affine map
{title2=$x\mapsto Ax+b$}

A map between <affine spaces> whose difference map is linear. After choosing origins it is $x\mapsto Ax+b$, where $A$ is its <linear part of an affine map> and $b$ its translation. This definition allows noninvertible maps; invertibility requires $A$ invertible.