Algebraic properties of R^n (or C^n)
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- Definition of scalar
- Definition of vector
- Definition of column vector
- Definition of R^n (or C^n)
- Definition of size of a vector
- 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
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