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  • Definition and terminology
  • 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
  • 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
  • Definition of size of a vector
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  1. Definition of vector-scalar multiplication

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  • Example of vector-scalar multiplication in R^2Close match
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  • Definition of matrix-scalar multiplicationClose match
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  • Definition and terminologyClose match
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  • Definition of scalar multiple of a linear transformationClose match
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  • Definition of column vectorClose match
  • Definition of 0 vectorClose match
  • Definition of equality of vectorsClose match
  • Linear combinationsClose match
  • A scalar multiple of a linear transformation is a linear transformationClose match
  • Coordinate vector spacesClose match
  • Definition of vector additionClose match

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