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  • Algebraic properties of R^n (or C^n)

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  • Definition of scalar
  • Definition of column vector
  • Definition of R^n (or C^n)
  • Definition of entry/component of a vector
  • Definition of 0 vector
  • Definition of equality of vectors
  • Definition of vector sum/addition
  • Vector sum/addition is commutative and associative
  • Definition of conjugate of a vector in C^n
  • Definition of the real part of a vector in C^n
  • Definition of the imaginary part of a vector in C^n
  • The conjugate of a sum of vectors in C^n is the sum of the conjugates
  • Definition of vector-scalar multiplication
  • The conjugate of vector-scalar multiplication in C^n is the product of the conjugates.
  • Example of vector-scalar multiplication in R^2
  • Definition of vector
  • Definition of size of a vector
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  1. Definition of vector sum/addition

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  • Vector sum/addition is commutative and associativeClose match
  • Definition of vector additionClose match
  • Vector sum/addition interpreted geometrically in R^n (or C^n)Close match
  • Definition of vector-scalar multiplicationClose match
  • Example of a sum of vectors interpreted geometrically in R^2Close match
  • Definition of equality of vectorsClose match
  • Definition of vectorClose match
  • Definition of entry/component of a vectorClose match
  • Algebraic properties of R^n (or C^n)Close match
  • Coordinate vector spacesClose match
  • Axioms of a vector spaceClose match
  • The conjugate of a sum of vectors in C^n is the sum of the conjugatesClose match
  • Definition and terminologyClose match
  • Definition of sum of matricesClose match
  • Definition of 0 vectorClose match
  • AdditionClose match
  • Linear combinationsClose match
  • F^n is a vector space.Close match
  • Example of vector-scalar multiplication in R^2Close match
  • The additive inverse of a vector equals the vector multiplied by -1.Close match

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