Page 51 - Linear Algebra Done Right

Chapter 3
Linear Maps

So far our attention has focused on vector spaces. No one gets ex-
cited about vector spaces. The interesting part of linear algebra is the
subject to which we now turn—linear maps.
Let’s review our standing assumptions:
Recall that F denotes R or C.
Recall also that V is a vector space over F.

In this chapter we will frequently need another vector space in ad-
dition to V. We will call this additional vector space W:

Let’s agree that for the rest of this chapter
W will denote a vector space over F.

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