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
Famous quotes containing the word combination:
“[The pleasures of writing] correspond exactly to the pleasures of reading, the bliss, the felicity of a phrase is shared by writer and reader: by the satisfied writer and the grateful reader, or—which is the same thing—by the artist grateful to the unknown force in his mind that has suggested a combination of images and by the artistic reader whom his combination satisfies.”
—Vladimir Nabokov (1899–1977)