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  • Abstract vector spaces

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

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  • The 0 vector is unique.
  • The additive inverse of a vector is unique.
  • The 0 scalar multiplied by any vector equals the 0 vector.
  • The 0 vector multiplied by any scalar equals the 0 vector.
  • If the product of a vector and a scalar is 0
  • The additive inverse of a vector equals the vector multiplied by -1.
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  1. Basic properties

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  • Abstract vector spacesClose match
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