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Linear mapping Facts for Kids. *Kiddle Encyclopedia.*

In mathematics, a **linear mapping** (or linear transformation) is a mapping *f* between vector spaces that preserves addition and scalar multiplication.

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.

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Linear mapping Facts for Kids. - This page was last modified on 1 July 2019, at 18:31.