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:
“Never support two weaknesses at the same time. It’s your combination sinners—your lecherous liars and your miserly drunkards—who dishonor the vices and bring them into bad repute.”
—Thornton Wilder (1897–1975)