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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 additive inverse of a vector equals the vector multiplied by -1.

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  • The additive inverse of a vector is called the negative of the vector.Close match
  • The additive inverse of a vector is unique.Close match
  • Definition of vector additionClose match
  • The 0 scalar multiplied by any vector equals the 0 vector.Close match
  • Basic propertiesClose match
  • Definition of vector sum/additionClose match
  • Vector sum/addition is commutative and associativeClose match
  • Matrix addition is commutative and associative.Close match
  • The 0 vector multiplied by any scalar equals the 0 vector.Close match
  • The 0 vector is unique.Close match
  • AdditionClose match
  • Scalar multiplication of matrices is associative and distributiveClose match
  • If the product of a vector and a scalar is 0Related
  • The inverse of a scalar multiple is the reciprocal times the inverse.Related
  • The standard inner product of a vector with itself is 0 only for the 0 vectorRelated
  • The inverse of the inverse of a linear transformation is the original linear transformationRelated
  • Formula for the inverse of a 2-by-2 matrix.Related
  • Matrix inverse is an involution.Related
  • The inverse of a linear transformation is a linear transformationRelated
  • Example of finding the inverse of a 2-by-2 matrix by using a formulaRelated

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