In mathematics, a **linear combination** is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of *x* and *y* would be any expression of the form *ax* + *by*, where *a* and *b* are constants). The concept of linear combinations is central to linear algebra and related fields of mathematics. Most of this article deals with linear combinations in the context of a vector space over a field, with some generalizations given at the end of the article.

Read more about Linear Combination: Definition, The Linear Span, Linear Independence, Affine, Conical, and Convex Combinations, Operad Theory, Generalizations

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—Franklin D. Roosevelt (1882–1945)