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
- SAS Theorem
- Satellite Knot
- Satisfiability Problem
- Sausage Conjecture
- Savitzky-Golay Filter
- Savoy Knot
- Scalar
- Scalar Curvature
- Scalar Field
- Scalar Function
- Scalar Potential
- Scalar Triple Product
- Scale
- Scale Factor
- Scalene Triangle
- Scaling
- Scattering Operator
- Scattering Theory
- Schaar's Identity
- Schanuel's Conjecture
- Schauder Fixed Point Theorem
- Scheme
- Schensted Correspondence
- Scherk's Minimal Surfaces
- Schiffler Point