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Definition[change | change source]
Let V and W be vector spaces over the same field K. A function f: V → W is said to be a linear mapping if for any two vectors x and y in V and any scalar α in K, the following two conditions are satisfied:
See also[change | change source]
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References[change | change source]
- Lang, Serge (1987). Linear algebra. New York: Springer-Verlag. p. 51. .
- Lax, Peter (2007). Linear Algebra and Its Applications, 2nd ed.. Wiley. p. 19. .(English)
- Tanton, James (2005). Encyclopedia of Mathematics, Linear Transformation. Facts on File, New York. p. 316. .(English)
- Sloughter, Dan (2001). "The Calculus of Functions of Several Variables, Linear and Affine Functions" (in English). http://cfsv.synechism.org/c1/sec15.pdf. Retrieved February 2014.