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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