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Linear Algebra: Vector Combinations and Span

3/12/2018

 
Vector Combinations and Span
After a very long hiatus, a new section is up in the linear algebra course covering vector combinations and span. There is about a 5 year gap between the publishing dates of video #25 and #26, whoops. Oh well, I'm back at it again with linear algebra and hope to finish off the set this month. Here are the new videos:
  • How to determine if one vector is a linear combination of a set of vectors 
  • How to determine if one vector in the span of a set of vectors 
  • Write a vector as a linear combination of a set of vectors 
  • How to determine if a set of vectors are linearly dependent or independent 
  • Write a dependence equation for a set of vectors 
  • Does a set of vectors span R^n
  • What is a subspace
  • Find a basis for the span of a set of vectors (either a subspace or a vector space)
  • Some thoughts on linear combinations and span​​
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