Coordinate Vector
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A Coordinate Vector is a Euclidean vector from a coordinate space.
- Context:
- It can (typically) be described in terms of a particular Ordered Basis.
- See: Matrix (Mathematics), Linear Algebra, Vector Space, Linear Transformation, Column Vector, Row Vector.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/coordinate_vector Retrieved:2015-7-25.
- In linear algebra, a coordinate vector is a representation of a vector as an ordered list of numbers that describes the vector in terms of a particular ordered basis. Coordinates are always specified relative to an ordered basis. Bases and their associated coordinate representations let one realize vector spaces and linear transformations concretely as column vectors, row vectors, and matrices, hence are useful in calculations.
The idea of a coordinate vector can also be used for infinite-dimensional vector spaces, as addressed below.
- In linear algebra, a coordinate vector is a representation of a vector as an ordered list of numbers that describes the vector in terms of a particular ordered basis. Coordinates are always specified relative to an ordered basis. Bases and their associated coordinate representations let one realize vector spaces and linear transformations concretely as column vectors, row vectors, and matrices, hence are useful in calculations.