A change of basis is the transformation of coordinate-based vector and operator representations in a given vector space from one vector basis representation to another.
Change of Basis
See also
Basis Vector, Change of Coordinates Matrix, Expansion Coefficient, Orthonormal Basis, Standard Basis, Vector Basis, Vector SpaceExplore with Wolfram|Alpha
References
Strang, G. Introduction to Linear Algebra. Wellesley, MA: Wellesley-Cambridge Press, 1993.Referenced on Wolfram|Alpha
Change of BasisCite this as:
Weisstein, Eric W. "Change of Basis." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ChangeofBasis.html