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:

    Those who speak of our culture as dead or dying have a quarrel with life, and I think they cannot understand its terms, but must endlessly repeat the projection of their own desires.
    Muriel Rukeyser (1913–1980)