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Mathematics-Online course: Linear Algebra - Basic Structures - Vector Spaces

Convex Combinations

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In a real vector space $ V$ a linear combination

$\displaystyle \lambda_1 v_1 + \lambda_2 v_2 +\dots + \lambda_m v_m $

with

$\displaystyle \lambda_i\ge 0,\quad \sum_i \lambda_i = 1 $

is called convex combination of the vectors $ v_i\in V$.

(Authors: App/Burkhardt/Höllig)
  automatically generated 4/21/2005