anonymous
  • anonymous
what is meant by span of vectors?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Let W be a finite subspace of a vector space, V over a a field, K \[W=\left\{ v_1,v_2,...,v_n \right\}\]The span of W is \[span(W)=\left\{ \lambda_1 v_1 + \lambda_2 v_2+...+ \lambda_n v_n | \lambda_1, \lambda_2,...,\lambda_n \in K\right\}\]
anonymous
  • anonymous
Should have said W is a finite *subset*.
anonymous
  • anonymous
Usually, the scalar field is real or complex, and the span is just the set of all linear combinations possible.

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anonymous
  • anonymous
Is that okay?

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