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Linear combination
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).[1][2][3][4] 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.
- ^ Strang (2016) p. 3, § 1.1
- ^ Lay, Lay & McDonald (2016) p. 28, ch. 1
- ^ Axler (2015) p. 28, § 2.3
- ^ nLab (2015) Linear combinations.
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