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  • Vector spaces

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  • Abstract vector spaces
  • Coordinate vector spaces
  • Examples of vector spaces

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  • Algebraic properties of R^n (or C^n)
  • Geometric properties of R^n (or C^n)
  • Axioms of a vector space
  • Linear combinations
  • Spans
  • Subspaces
  • Linear (in)dependence
  • Bases
  • Dimension
  • Linear transformations
  • Orthogonality and projection
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  1. Coordinate vector spaces

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  • The coordinate vector relative to a given basis is a surjective linear mapping to R^n (or C^n).Close match
  • F^n is a vector space.Close match
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  • Abstract vector spacesClose match
  • Definition and terminologyClose match
  • R^n is a vector space.Close match
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  • Every finite dimensional vector space over R (or C) is isomorphic to R^n (or C^n) for some n.Close match
  • Algebraic properties of R^n (or C^n)Close match
  • C^n is a vector space.Close match
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  • Definition of R^n (or C^n)Close match
  • Vector sum/addition is commutative and associativeClose match
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  • The set of all functions on a set is a vector space.Close match
  • Definition of size of a vectorClose match
  • Definition of coordinate vector/mapping/representation relative to a given basisClose match

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