Linear Algebra 8 | Linear Span
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- เผยแพร่เมื่อ 5 ต.ค. 2024
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(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
A wonderful and intuituve explanation of such concepts. As an engineering student who is curious about mathematics I am glad that you decided to dedicate a playlist for linear algebra. I hope you post more advanced topics about it soon:)
This explanation makes a LOT more sense - that span(M) is a subspace in R^n
Thank you so much for these ! A friend recommended your channel to me last summer and I've been binging your videos ever since. I started a college math heavy course as someone who used to be terrified of maths. You and some other channels made me love them :-) I am so grateful and someday I hope to be able to contribute a bigger amount to your channel monthly.
Maybe I missed them but do you ever plan on covering dedekind cuts ? We're studying them right now, along with "ideal polynomials" (if that is the term in English...), would be curious to see your take on it. :-)
Great work !❤
Glad to see another one of your videos! 😃
Hope you enjoyed it! :)
Why haven't I discovered this cannel before ? vielen danke
Thanks! I hope you can use the channel now :)
Great video.
Keep up the good work👍
is it possible to assign equality to span{ }? from your example of span{ (1 0 0), (1 1 0)} being the entire XY plane, i imagine span{(1/2 0 0), (0 1/2 0)} is also the XY plane, so many sets of vectors can span a set equally
Yes! Different vectors can span the same subspace!
and also, is it *not* possible to find the *largest* scalar with which we can multiply the vectors of set M when we're making span{M} ? (so that one ray built from one of our vectors don't extend forever)
i see that if this is the case its not possible to have a span inside a closed, finite area in R² for example (like the blob drawn early in the video)
Yes, the span is always a subspace, which cannot be a finite area in R^2.
which software do you use bro, for explaining
See my website in the description :)
Come to the dark side of mathematics!