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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 multiplied by any scalar equals the 0 vector.

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  • The 0 scalar multiplied by any vector equals the 0 vector.Close match
  • If the product of a vector and a scalar is 0Close match
  • The 0 vector is unique.Close match
  • The set containing only 0 is a vector space.Close match
  • Definition of 0 vectorClose match
  • If a set of vectors contains the 0 vectorClose match
  • Axioms of a vector spaceClose match
  • Basic propertiesClose match
  • Scalar multiplicationClose match
  • The crazy vector space is a vector space.Close match
  • The eigenvalues of a scalar multiple of a matrix are the scalar multiples of the eigenvalues.Close match
  • The standard inner product of a vector with itself is 0 only for the 0 vectorClose match
  • The additive inverse of a vector equals the vector multiplied by -1.Close match
  • Any matrix times the 0 matrix equals the 0 matrix.Close match
  • Matrix-scalar multiplication is commutativeClose match
  • Scalar multiplication of matrices is associative and distributiveClose match
  • The additive inverse of a vector is unique.Close match
  • A matrix with a 0 row/column has determinant 0Related
  • Definition of vector additionRelated
  • A linear transformation maps 0 to 0.Related

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