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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. The 0 vector is unique.

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  • The 0 scalar multiplied by any vector equals the 0 vector.Close match
  • Definition of 0 vectorClose match
  • The set containing only 0 is a vector space.Close match
  • The 0 vector multiplied by any scalar equals the 0 vector.Close match
  • The additive inverse of a vector is unique.Close match
  • If a set of vectors contains the 0 vectorClose match
  • Definition of 0 matrixClose match
  • Basic propertiesClose match
  • Definition of 0/trivial subspaceClose match
  • If the product of a vector and a scalar is 0Close match
  • Any matrix times the 0 matrix equals the 0 matrix.Close match
  • Definition of the 0/trivial subspaceClose match
  • The standard inner product of a vector with itself is 0 only for the 0 vectorClose match
  • A vector can be written uniquely as a linear combination of vectors from independent subspaces.Close match
  • A set is a basis if each vector can be written uniquely as a linear combination.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.Related
  • A linear transformation maps 0 to 0.Related
  • Each vector can be written uniquely as a linear combination of vectors from a given basis.Related
  • Every basis for a vector space contains the same number of elementsRelated

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