# Linear Algebra/Definition of Vector Space

Appearance

A Wikibookian suggests that this book or chapter be merged with Linear Algebra/Definition and Examples of Vector Spaces.Please discuss whether or not this merger should happen on the discussion page. |

We shall study structures with two operations, an addition and a scalar multiplication, that are subject to some simple conditions. We will reflect more on the conditions later, but on first reading notice how reasonable they are. For instance, surely any operation that can be called an addition (e.g., column vector addition, row vector addition, or real number addition) will satisfy all the conditions in Definition 1.1 below.