::Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that P2 = P. 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.<ref>Meyer, pp 386+387</ref> 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.
Projection (linear algebra) sections
Intro Simple example Properties and classification Canonical forms Projections on normed vector spaces Applications and further considerations Generalizations See also Notes References External links
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