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# Parallel projection

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In linear algebra and functional analysis, a **projection** is a linear transformation *P* from a vector space to itself such that *P*^{2} = *P*. Projections map the whole vector space to a subspace and leave the points in that subspace unchanged.^{[1]}

## Notes

- ↑ Meyer, pp 386+387

## References

- 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 websites

- MIT Linear Algebra Lecture on Projection Matrices at Google Video, from MIT OpenCourseWare