Properties of Vector Spaces

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11 Terms

1
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1st things to prove

Closed under its definition of vector addition and scalar multiplication.

2
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There must exist…

a zero vector within the space

3
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There must also exist…

an inverse vector -v such that v + (-v) = 0

4
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A.1

Associative Property

5
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A.2

Commutative Property

6
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A.3

Additive Identity 1

7
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A.4

additive identity 2

8
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S.1

distributive property 1

9
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S.2

distributive property 2

10
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S.3

associative property

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S.4

preservation of scale