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# Examples of vector spaces

Put content hereThis section demonstrates that many different types of mathematical objects satisfy the vector space axioms. Each example below shows a specific set with defined addition and scalar multiplication operations that make it a vector space.
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The diversity of examples illustrates the power of the abstract vector space concept: once a theorem is proved for general vector spaces, it automatically applies to coordinate spaces, function spaces, polynomial spaces, matrix spaces, and more.
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Each node in this section verifies the vector space axioms for a particular mathematical structure.

# Parents

* Vector spaces