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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