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:
Sometimes, a linear mapping is called a linear function. However, in basic mathematics, a linear function means a function whose graph is a line. The set of all linear mappings from the vector space V to vector space W can be written as .
|The English Wikibooks has more information on:|
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- Sloughter, Dan (2001). "The Calculus of Functions of Several Variables, Linear and Affine Functions" (PDF). Retrieved 1 February 2014.
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