Linear Algebra/Definition of Vector Space

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Linear Algebra
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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.

Linear Algebra
 ← Vector Spaces Definition of Vector Space Definition and Examples of Vector Spaces →