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Linear Combination ○｜Definition｜1st｜20251119205401-00-⌔

Linear combination - Wikipedia

Linear combination

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In mathematics, a linear combination or superposition 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).123 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.

Printed 2026-06-28.

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Footnotes

  1. Strang (2016) p. 3, § 1.1 ↩

  2. Lay, Lay & McDonald (2016) p. 28, ch. 1 ↩

  3. Axler (2015) p. 28, § 2.3 ↩

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