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Change of Basis in 2D


	Given a point in the plane you can see its coordinates with respect to the standard basis , or compute its coordinates with respect to a different basis . The signed area of the parallelogram determined by this basis, , is a crucial quantity. This Demonstration complements the Demonstration "Coordinates of a Point Relative to a Basis in 2D", by E. Schulz, which shows how a point varies as its coordinates change.


	Contributed by: Adriano Pascoletti
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Coordinates of a Point Relative to a Basis in 2D (The Wolfram Demonstrations Project)

Linearly Dependent Vectors (Wolfram MathWorld)

Standard Basis (Wolfram MathWorld)

Vector Basis (Wolfram MathWorld)

"Change of Basis in 2D" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ChangeOfBasisIn2D/

Contributed by: Adriano Pascoletti

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