Linear Algebra 5 | Vector Space ℝn

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This is my video series about Linear Algebra. I hope that it will help everyone who wants to learn about it.
#LinearAlgebra
#Vectors
#Matrices
#MachineLearning
#Eigenvalues
#Calculus
#Mathematics
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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)

[@brycemyers2308]

What you’re doing is great. Please keep doing it as long as you can!

[@chunxiaozhou3799]

Best math teacher at TH-cam! Do you plan to give lectures on abstract algebra and algebraic topology? Thank you!

[@brightsideofmaths]

Yes, I do :)

[@MAOpage]

Yes. Abstract algebra first.

[@Danny-hj2qg]

Did you not include the property of closure in the definition of an Abelian Group because the 'definition' of vector addition in a vector space was sufficient to call that operation a binary operation?

[@malawigw]

I think it is becase we are still dealing with only R as our set.

[@Danny-hj2qg]

@@malawigw Ok, Thanks.

[@notu483]

This is a great video, sir. As a trick to distinguish vectors from scalars, it is possible to draw an arrow on top of the letter to identify it as a vector. This is a trick seen from teachers.

[@brightsideofmaths]

Yeah, of course.

[@narendraparmar1631]

Thank You

[@MAOpage]

Thank you.

[@MrWater2]

The addition is a map, +:R^nxR^n \to Rn? I watched 3bluebrown videos and was really helpfull specially in this case that you presented the canonical unit vectors wich are going to be the canonical basis! Thanks for your amazing videos!

[@brightsideofmaths]

Thanks :)

[@CesarMaglione]

Excellent, take your like 👍

[@Stefan-dg2js]

thank you

[@malawigw]

Was linear algebra cancelled? Michael Penn has not published any linear algebra video in several weeks aswell... :(

[@brightsideofmaths]

No, not at all! I am just not as quick producing videos as I want. New linear algebra videos will come this month :)

[@Simon-hy2fh]

@@brightsideofmaths 😮

[@ybc8495]

9:55 for the canonical unit vector: ej is the j write in the upper right corner better? especially you write vj*ej? the vj j write in down right corner and the ej j write in the upper right corner?

[@brightsideofmaths]

That is also possible!

[@JojiThomas7431]

Good video

[@merolaagi1]

How can I download the linear algebra notes and book. I became a member for your channel, hoping I could download them!!😢

[@brightsideofmaths]

Yes, this is possible. Which package did you choose?

[@mikamikamusic7792]

9:27 from what i learned from tensors before shouldnt the vector component have a contravariant index (upper index)

[@brightsideofmaths]

Yes, that is change one can make later but I wouldn't do it in the introduction of vectors.

[@shashwatasamanta7358]

Viele Dank!

[@Hold_it]

Awesome 👍