Vector spaces

This page is a sub-page of our page on Linear Algebra.

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NOTE: The term “vector space” is synonymous with the term “linear space”.

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The sub-pages of this page are:

Representation and reconstruction of vectors
Linear dependence and linear independence of vectors
Basis for a vector space
Change of basis for a vector space
Normed vector spaces
Topological vector spaces

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Related KMR-pages:

Vector spaces of finite and infinite dimensions

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Other related sources of information:

Vector space

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Cross products
(Steven Strogatz on YouTube):

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Abstract vector spaces | Essence of linear algebra, chapter 11
(Steven Strogatz on YouTube):

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Thinking visually about higher dimensions
(Steven Strogatz on YouTube):

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