Advanced Linear Algebra - Lecture 3: Linear Combinations and Spans

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In this lecture, we continue generalizing concepts from introductory linear algebra to abstract vector spaces by looking at linear combinations and spans of sets of vectors.

Please leave a comment below if you have any questions, comments, or corrections.
  1. Nathaniel Johnston
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Комментарии
Автор

People need to see these lectures, really good

quantabot
Автор

My favorite series on Advanced Linear Algebra. The way this series connects the dots between Linear Algebra, Field Theory and Mathematical/Functional Analysis is amazing!

DataMind-xdxm
Автор

If B is a subset of V then span(B) is a vector subspace. then what is the span of the empty set?

maxpercer
Автор

The definition is weird and confusing, although it makes sense. Why do you want the linear combinations to be finite? Why not just say that B in V is finite since V is finite? That would immediately knock off "infinite" linear combinations.

ralphvernoulliramos