Basis
A (vector) basis is any Set of 
Linearly Independent Vectors capable ofgenerating an -dimensional Subspace of 
. Given a Hyperplane defined by
a basis is found by solving for
in terms of 
, 
, 
, and 
. Carrying out this procedure, 
so
and the above Vector form an (unnormalized) Basis. Given a Matrix A with anorthonormal basis, the Matrix corresponding to a new basis, expressed in terms of the original
is
See also Bilinear Basis, Modular System Basis, Orthonormal Basis, Topological Basis
- Elliptic Function
- Elliptic Functional
- Elliptic Geometry
- Elliptic Group Modulo p
- Elliptic Helicoid
- Elliptic Hyperboloid
- Elliptic Integral
- Elliptic Integral of the First Kind
- Elliptic Integral of the Second Kind
- Elliptic Integral of the Third Kind
- Elliptic Integral Singular Value
- Elliptic Integral Singular Value k1
- Elliptic Integral Singular Value k2
- Elliptic Integral Singular Value k3
- Ellipticity
- Elliptic Lambda Function
- Elliptic Logarithm
- Elliptic Modular Function
- Elliptic Paraboloid
- Elliptic Partial Differential Equation
- Elliptic Plane
- Elliptic Point
- Elliptic Pseudoprime
- Elliptic Rotation
- Elliptic Theta Function