3Linear maps

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.