Projection (linear Algebra)

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. It leaves its image unchanged. 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.

Read more about Projection (linear Algebra):  Classification, Canonical Forms, Projections On Normed Vector Spaces, Applications and Further Considerations, Generalizations

Famous quotes containing the word projection:

    My image is a statement of the symbols of the harsh, impersonal products and brash materialistic objects on which America is built today. It is a projection of everything that can be bought and sold, the practical but impermanent symbols that sustain us.
    Andy Warhol (1928–1987)