Linear maps from n to itself
6.1 Linear maps, bases and matrices
We already know that matrices can be associated with linear maps. In this section we show how to associate every linear map α : n → n with an n × n matrix.
Definition 6.1.1 Let α : n → n be linear and let e1, e2,..., en be a basis. Then the matrix A = (aij) of α with respect to this ...