Projection Matrix: Difference between revisions
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A | A projection matrix <math>P</math> is a <math>n \times n</math> square matrix that gives a vector space projection from the n-dimensional space<math>\R^n</math> to a subspace <math>W</math>. | ||
* <B>See:</B> [[Linear Transformation]]. | * <B>See:</B> [[Linear Transformation]]. | ||
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Revision as of 12:50, 14 January 2016
A projection matrix [math]\displaystyle{ P }[/math] is a [math]\displaystyle{ n \times n }[/math] square matrix that gives a vector space projection from the n-dimensional space[math]\displaystyle{ \R^n }[/math] to a subspace [math]\displaystyle{ W }[/math].
- See: Linear Transformation.
References
2009
- http://en.wikipedia.org/wiki/Projection_(linear_algebra)
- In linear algebra and functional analysis, a projection is a linear transformation [math]\displaystyle{ P }[/math] 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.