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Coordinate vector spaces
Definition and terminology
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Algebraic properties of R^n (or C^n)
Definition of scalar
Definition of vector
Definition of vector-scalar multiplication
Geometric properties of R^n (or C^n)
Axioms of a vector space
Linear combinations
Spans
Subspaces
Linear (in)dependence
Bases
Dimension
Linear transformations
Orthogonality and projection
Definition of vector addition
The additive inverse of a vector is called the negative of the vector.
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