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  • Definition of scalar
  • 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.
  • Definition of vector
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  1. Definition of vector addition

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  • Definition of vector sum/additionClose match
  • Vector sum/addition is commutative and associativeClose match
  • Axioms of a vector spaceClose match
  • Definition of vectorClose match
  • Definition and terminologyClose match
  • Vector sum/addition interpreted geometrically in R^n (or C^n)Close match
  • The additive inverse of a vector equals the vector multiplied by -1.Close match
  • The additive inverse of a vector is called the negative of the vector.Close match
  • Example of a sum of vectors interpreted geometrically in R^2Close match
  • Linear combinationsClose match
  • Definition of vector-scalar multiplicationClose match
  • The crazy vector space is a vector space.Close match
  • The additive inverse of a vector is unique.Close match
  • Definition of linear combination of vectorsClose match
  • Matrix addition is commutative and associative.Close match
  • Definition of sum of matricesClose match
  • Definition of isomorphic/isomorphism between vector spacesRelated
  • Definition of parallel vectorsRelated
  • Definition of weights in a linear combination of vectorsRelated
  • The 0 vector multiplied by any scalar equals the 0 vector.Related

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