Page 15 - Linear Algebra Done Right
P. 15
Chapter 1
Vector Spaces
Linear algebra is the study of linear maps on finite-dimensional vec-
tor spaces. Eventually we will learn what all these terms mean. In this
chapter we will define vector spaces and discuss their elementary prop-
erties.
In some areas of mathematics, including linear algebra, better the-
orems and more insight emerge if complex numbers are investigated
along with real numbers. Thus we begin by introducing the complex
numbers and their basic properties.
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