SUBSPACES - LINEAR ALGEBRA

We talk about the subspace of a vector space.

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#LinearAlgebra #Algebra #UniversityMath #Lecture

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In this video we talk about subspaces and prove that the span is a subspace.

Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

[arshiya]

My mathematics professor doesn't explain things well.... really helpful 👍

[TheMrMefistofele]

This theory is very useful and well explained, but I think you should show more solved exercises. Or show how to solve different problems.

[fan_dan_go]

The way R^2 is not a subspace of R^3 makes sense to me is that you could have a plane in R^3 that does not passes through the origin ( meaning it does not contain the zero vector) from looking at the sketch @ 11:40

[benzeltser]

Hard subject, well explained

many of us will not get it the first or second time, give it another Chance.

[kvotheosem-sangue]

Thanks for the astounding class, keep at it!

[KevaneeFagan]

To be exact, what makes you know that the vector is in the span? what do I have to identify to let me know that? Am I to go over span of vectors first?

[anadiru]

Amazing! Finally i understood the subspaces of the vector spaces

[saulorocha]

Congratulations, you managed to make me understand vector space a little bit LOL.

[Lumyo_xo]

This is really nice and understandable 😊❤

[linahajji]

thank youuu so much for the explanation

[schang_lh]

Sorry, but is there any word definition of subspace? Like what is it and what is it used for? Because I understand how to do the math but when asked to explain what it is, I would have no idea what to say. If anyone knows, plz let me know. >< Thanks!

[KylianMbappe]

9:29 hoiw can you exactly proov that the span theorm is correct?

[suprememaster]

Every subspace of R5 that contains a nonzero vector must contain a line. Is this statement true?

[noahjohnson]

In order to be a subspace of a vector does the subspace and vector have to have the same dimensions?

[talhaamjad_]

From 12:10 onwards, you said R3 has to give that vector to R2 and therefore R2 is a subset of R3 which sounds similar to the time you drew the diagram at 11:39. That I don't understand.

[dymo]

you dont explain much about the why, you do but like not enough to understand :( like 4:30 "we know its in the subspace because it is in the span... like how is it in the span why

[KevaneeFagan]

I don't find your explanations to be entirely clear. You're just saying things and writing things down but not saying why. Your explanations are too shallow man.You're losing me on the second example.

[PeterBouSaada]

still feels like im trying to read turkish

[statube]

It is a nice tutor even a university professor doesn't explain like this. But I have some doubt on one of the last three questions, which is question number 3. I think the answer should be TRUE but you said FALSE. Why I said TRUE is, a vector in R2 means that the third axis, which is axis Z is 0 and it is omitted. Therefore, R2 is a subspace of R3.

If you or anyone who reading this can explain that my argument is wrong or right. Thank you.