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  • Abstract vector spaces

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  • Linear (in)dependence
  • Bases
  • Linear transformations
  • Definition and terminology
  • Linear combinations
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  • Basic properties
  • Isomorphism
  • Orthogonality and projection

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  • Definition of scalar
  • Definition of vector
  • Definition of vector-scalar multiplication
  • Axioms of a vector space
  • Definition of vector addition
  • The additive inverse of a vector is called the negative of the vector.
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  1. Definition and terminology

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