Vector Spaces
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Complex numbers
Equations are omitted for technical reasons - download the original pdf
The set of all complex numbers also forms a vector space. Complex numbers are ordered pairs of numbers of the form[Equation goes here - download the original to see it.] Addition of complex numbers conforms to vector addition [Equation goes here - download the original to see it.] and the result is also a complex number. Scalar multiplication of complex numbers is given by [Equation goes here - download the original to see it.] which is also a complex number.
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Contents of
Vector Spaces
1 Vector Spaces
2 Linear polynomials
3 Complex numbers
4 Quadratic polynomials
5 Continuous Functions
6 Infinite sequences
7 Vector space axioms
8 Properties of vector spaces
9 Subspaces of vector spaces
10 Basis and dimension
11 Span
12 Theorem (Vector spaces)
13 Vectors, dimension and bases
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