Vector Spaces
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Linear polynomials
Equations are omitted for technical reasons - download the original pdf
Also, linear polynomials form a vector space. A linear polynomial is an expression of the form[Equation goes here - download the original to see it.]where and are real numbers. The sum of two linear polynomials is [Equation goes here - download the original to see it.] and this is also a linear polynomial. The scalar multiple is [Equation goes here - download the original to see it.] and this is also a linear polynomial. The other vector space axioms can be shown to be valid for the linear polynomials and the set of all linear polynomials is a vector space.
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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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