Linear Algebra - Lecture 28: The Span of a Set of Vectors

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We introduce the span of a set of vectors, which is a way of turning arbitrary sets into subspaces.

Please leave a comment below if you have any questions, comments, or corrections.

Timestamps:
00:00 - Introduction
02:55 - Definition
03:45 - Examples
08:45 - Spans are subspaces
09:44 - The range via the span of columns
13:36 - Spanning sets and invertible matrices
18:07 - Geometric interpretation of invertibility
  1. Nathaniel Johnston
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Автор

Awesome video! Thanks for the nice explanation!

RealEverythingComputers
Автор

at 8:38, why do we only talk about z-3x? why dont we also say that y should be equal to 1 and x should be equal to 1-1?

Also.. if my x= 0 and y= 1, then we can also find what is z, z will be z=3*1 so z= 3. Why are we not saying that span of these vectors is (0, 1, 3) ???

Dupamine