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Vector Spaces

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Franklin College Mathematics and Computing Department
Franklin College Mathematics and Computing Department

Carrie Trommater presentation on Vector Spaces for MAT 361 (Modern Algebra), Franklin College, Fall 2009.

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Vector Spaces Chapter 18
What is a vector space? ,[object Object]
Proposition 18.1 ,[object Object],For all v in V. For all in F. Then either =0 or v=0 For all v in V. For all in F and all v in V.
Example ,[object Object]
Example ,[object Object]
Subspaces ,[object Object]
Example ,[object Object]
Terminology ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]
Linear Independence ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
Basis ,[object Object]
Example ,[object Object]
Example ,[object Object]

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Vector Spaces