Linear Algebra - Lecture 8 - Span

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In this lecture, we discuss the idea of span and its connection to linear combinations. We also discuss the use of "span" as a verb, when a set of vectors "spans" the entire set R^n.
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It’s 4am and I’ve been trying to understand this from my textbook for a while. 9 minutes on here was all I needed- cheers buddy!

BenM
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I was so confused about what "span" actually meant. Thank you for this video!

tinktwiceman
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3 year and 5 months later, you are still saving lives!! <3

timilsesi
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Best explaination so ever to clear our concept love and support from ANANTNAG Kashmir J&K Indians occupied kashmir J&K

zahidrasoolkhan
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this man is carrying my module on his back and he is doing better than my lecturer

flidoofficial
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Really appreciate your help.
Thank you

mathdodo
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Sir it is only y u who cleared our confusion but Indians don't know

zahidrasoolkhan
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Tbh Northwestern's undergraduate teaching sucks. Thank you so much for your videos!

deanhuang
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damn you make it all seem so easy, kudos !

kostaskompostas
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I had a few questions continuing off from the slide at 2:30.
1. Must u and v exist in a particular dimension of coordinate space
(e.g. R^2 or R^3) for their span to create a plane?
2. Is it only a sum of two vectors that creates a plane? Could I get
shapes other than a plane by adding more than two vectors in the
R^3 and above real coordinate spaces.
3. Last, does a vector that exist in R^2 also exist in R^3.

gaussianelimination