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:
“Let him [the President] once win the admiration and confidence of the country, and no other single force can withstand him, no combination of forces will easily overpower him.... If he rightly interpret the national thought and boldly insist upon it, he is irresistible; and the country never feels the zest of action so much as when the President is of such insight and caliber.”
—Woodrow Wilson (1856–1924)