chapter 6

72 Pages

## Linear Transformations

This is called the identity transformation on V. In this case, V is the domain, codomain, and range of I.

(e) If V andW are vector spaces, deﬁne T : V!W by T(v)¼ 0W for all v2V. This is called the null (or zero) transformation on V. Here, the codomain is W, but the range of T is {0W}, a proper subset of W.