IA Vectors and Matrices
3 Linear maps
A linear map is a special type of function between vector spaces. In fact, most
of the time, these are the only functions we actually care about. They are maps
that satisfy the property f(λa + µb) = λf(a) + µf (b).
We will first look at two important examples of linear maps — rotations and
reflections, and then study their properties formally.