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 ma...
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http://en.wikipedia.org/wiki/Linear_combination
The vector y is a linear combination of vectors x^1, x^2, ..., x^m if y = Sum_k{a_k x^k}, where a_k is called the coefficient of x^k.
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http://glossary.computing.society.informs.org/index.php?page=L.html
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