Linear Projection

References

(Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/Projection_(linear_algebra)#Orthogonal_projections Retrieved:2015-2-2.
- In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that . That is, whenever P is applied twice to any value, it gives the same result as if it were applied once (idempotent). It leaves its image unchanged. ^[1] Though abstract, this definition of "projection" formalizes and generalizes the idea of graphical projection. One can also consider the effect of a projection on a geometrical object by examining the effect of the projection on points in the object.