Tap to unmute

Linear Algebra 8 | Linear Span

  Рет қаралды 12,587

The Bright Side of Mathematics

The Bright Side of Mathematics

Күн бұрын

Пікірлер
@cagi39
@cagi39 2 жыл бұрын
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:)
@zyugyzarc
@zyugyzarc 4 ай бұрын
This explanation makes a LOT more sense - that span(M) is a subspace in R^n
@Leslie.Green_CEng_MIEE
@Leslie.Green_CEng_MIEE 2 ай бұрын
In example (a) at 3:59, u is given as an element of R^n. Given that the example is in R², and that the span is the smallest subspace with the required property, I would have started from u being an element of R². Clearly the RHS gets reduced/simplified on the next line(s), so it is probably not important.
@brightsideofmaths
@brightsideofmaths 2 ай бұрын
Thanks! Yes, it's a typo. n =2 in this case :)
@punditgi
@punditgi 2 жыл бұрын
Glad to see another one of your videos! 😃
@brightsideofmaths
@brightsideofmaths 2 жыл бұрын
Hope you enjoyed it! :)
@kirikouestpetit6543
@kirikouestpetit6543 2 жыл бұрын
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 !❤
@user-gm3pk5cp3z
@user-gm3pk5cp3z Жыл бұрын
Why haven't I discovered this cannel before ? vielen danke
@brightsideofmaths
@brightsideofmaths Жыл бұрын
Thanks! I hope you can use the channel now :)
@Hold_it
@Hold_it 2 жыл бұрын
Great video. Keep up the good work👍
@GeoffryGifari
@GeoffryGifari 2 жыл бұрын
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
@brightsideofmaths
@brightsideofmaths 2 жыл бұрын
Yes! Different vectors can span the same subspace!
@GeoffryGifari
@GeoffryGifari 2 жыл бұрын
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)
@brightsideofmaths
@brightsideofmaths 2 жыл бұрын
Yes, the span is always a subspace, which cannot be a finite area in R^2.
@RiseUp8431
@RiseUp8431 11 ай бұрын
which software do you use bro, for explaining
@brightsideofmaths
@brightsideofmaths 11 ай бұрын
See my website in the description :)
@Simon-hy2fh
@Simon-hy2fh 2 жыл бұрын
Come to the dark side of mathematics!
Linear Algebra 9 | Inner Product and Norm
12:23
The Bright Side of Mathematics
Рет қаралды 39 М.
The unreasonable effectiveness of linear algebra.
18:04
Michael Penn
Рет қаралды 181 М.
SLIDE #shortssprintbrasil
0:31
Natan por Aí
Рет қаралды 49 МЛН
24 Часа в БОУЛИНГЕ !
27:03
A4
Рет қаралды 7 МЛН
The unexpected probability result confusing everyone
17:24
Stand-up Maths
Рет қаралды 807 М.
Vector Space
18:04
Prime Newtons
Рет қаралды 96 М.
Imaginary numbers aren't imaginary
13:55
Ali the Dazzling
Рет қаралды 263 М.
Linear Algebra 5 | Vector Space ℝn
10:18
The Bright Side of Mathematics
Рет қаралды 15 М.
What's a Tensor?
12:21
Dan Fleisch
Рет қаралды 3,7 МЛН
Linear Algebra Example: Span Questions
12:47
James Hamblin
Рет қаралды 192 М.
The Vector Space of Polynomials: Span, Linear Independence, and Basis
12:50
Dr. Trefor Bazett
Рет қаралды 146 М.
Can you crack this beautiful equation? - University exam question
18:39
SLIDE #shortssprintbrasil
0:31
Natan por Aí
Рет қаралды 49 МЛН