Vector Spaces
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Infinite sequences
Equations are omitted for technical reasons - download the original pdf
An infinite sequence takes the form[Equation goes here - download the original to see it.]where[Equation goes here - download the original to see it.]for all . The addition of two such sequences is defined to be [Equation goes here - download the original to see it.] Scalar multiplication is [Equation goes here - download the original to see it.]
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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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