Parallel projection

form of graphical projection where the projection lines are parallel to each other
(Redirected from 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. Projections map the whole vector space to a subspace and leave the points in that subspace unchanged.[1]

The transformation P is the orthogonal projection onto the line m.

NotesEdit

  1. Meyer, pp 386+387

ReferencesEdit

  • N. Dunford and J.T. Schwartz, Linear Operators, Part I: General Theory, Interscience, 1958.
  • Carl D. Meyer, Matrix Analysis and Applied Linear Algebra, Society for Industrial and Applied Mathematics, 2000. ISBN 978-0-89871-454-8.

Other websitesEdit