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
- Plurisubharmonic Function
- Plus
- Plus or Minus
- Plus Perfect Number
- Plus Sign
- Plutarch Numbers
- Plücker Characteristics
- Plücker Relations
- Plücker's Conoid
- Plücker's Equations
- Pochhammer Symbol
- Pocklington-Lehmer Test
- Pocklington's Criterion
- Pocklington's Theorem
- Poggendorff Illusion
- Pohlke's Theorem
- Poincaré-Birkhoff Fixed Point Theorem
- Poincaré Conjecture
- Poincaré Duality
- Poincaré Formula
- Poincaré-Fuchs-Klein Automorphic Function
- Poincaré Group
- Poincaré-Hopf Index Theorem
- Poincaré Hyperbolic Disk
- Poincaré Manifold