You just ended years of confusion in 4 minutes. Thank you

@LeiosLabs

6 жыл бұрын

I'm glad it was helpful! =)

@danpal6737

3 жыл бұрын

me too , but 2 years later, jobless and unmarried.....

@TheyHurry

Жыл бұрын

Woah I didn't expect Bernie to be studying linear algebra

@snokful

Жыл бұрын

@@TheyHurry the pen is not as popular as the sword (sadly). but hopefully in the end, mightier.

@lararomao3786

Жыл бұрын

Yes ahaha

Embarrassingly , I admit that finally I got some meaning in eigenvector and eigenvalue after all those years. Thanks for the insight.

@LeiosLabs

7 жыл бұрын

Don't worry, I think everyone knows that feeling! =)

@rickoshea9282

6 жыл бұрын

That's like finally getting the meaning of multiplying but perhaps now you will be motivated to understand an actual application of eigenvectors and why they are important.

@flashlightbug

4 жыл бұрын

I couldn't agree with you more. FINALLY!

@itsnotallrainbowsandunicor1505

4 жыл бұрын

The reason why professors who teach just from the book are doing a disservice to their students. I had a friend who took linear algebra with me and after two semesters still asked me 'what is a vector space. The problem issued when the prof never expanded beyond the book. He couldn't be bothered to bring in new material into the class.

@ginebro1930

4 жыл бұрын

It's very common to miss the point on eigenvectors, the main reason is because you need to understand what differential equations are for, how these can help solving them and how linear algebra is in fact divided into 2 parts, one for solving normal equiations Ax=b and one for solving differential equations Ax=λx. All of this makes sense much later so it's a hard topic to bring enthusiasm.

If only university professors knew how to explain this intuitively and used animations like this.

@anilboppuri2067

5 жыл бұрын

we cannot compare, for creative students no explanation is required :)

@kbassols

3 жыл бұрын

Switching to online classes can help integratring this resources to our virtual courses :)

@Anriuko

2 жыл бұрын

Somebody has to create the animations and somebody else has to pay for the time spent, and the professor's explanation would still be a garbled mess.

@arjunkc3227

5 ай бұрын

He was taught by the professor. Some students grab what professor means and some lazy dont. Student have to be creative. Professor shows where the pond is. He doesnt force you to drink the water. Its upto you to drink or not. If its dirty water its you to clean little bit before you drink

I literally got chills over my spine from finally understanding. And it is so bloody simple! Thank you! Absolutely brilliant

i'm a third year physics major and this was the best explanation i've ever seen, by far. good job!

@LeiosLabs

8 жыл бұрын

Thanks, man! I appreciate it!

@isakhammer6558

4 жыл бұрын

same! Difficult subject though

You're the first person to have successfully explained eigenvectors in a way I can visualise, so thank you!

@LeiosLabs

6 жыл бұрын

I'm glad it was useful!

Wonderful explanation. The geometrical meaning of eigen vector is explained very well. ThankYou for such a nice explaination

Your videos make understanding and reasoning of difficult mathematical concepts so intuitive that it re-ignites passion for learning more. Thank you so much for taking the time to make these wonderful videos which help us grasp difficult concepts and make the learning experience so enjoyable.

Thanks so much, pal. Matrix Algebra has always scared me but this explanation and its applications to particles were really subtle and elegant. By the way, your voice is so calming that you gave me more confidence in the subject. This video should have a million views as it deserves more attention, and you just earned another subscriber.

Finally! You haven't uploaded in forever! This is a really nice video man :D good job. Explained it pretty well I think.

@LeiosLabs

8 жыл бұрын

Thanks! I will try to get more videos out in the future. I have a plan for one every other week, but we'll see how that goes...

This channel is pure gold. thank you for sharing your understanding with us!

This was very helpful. My son just explained Eigen values and vectors to me on paper, which he did very well. Having your excellent video and graphics to watch next helped a ton. Well done! Thank you.

This is the best clear explanation I got so far. Wish I had a tutor that could explain that in simple word while doing that calculus course. Anyway, I passed the course and doing multi-variable calculus course. Great videos.

Wow!!! Such a clear explanation of the concept in just 4 minutes! That's really amazing ^^

brilliant!!! this way of looking at eigenvectors and eigenvalues is completely new to me, and extremely helpful

One of the best video on intuitive explanation of eigenvector.

Whoa! Finally after my graduation, I understood the concept by just coming across the video randomly. 😂

Great video. Explained with simplicity and clarity!

A definition was exactly what I needed! I'm in linear algebra and this helps understand a bit of what's happening.

Very well explained compared to other videos which just explains mechanical way of finding the eigen values and eigenvector... Keep it up!

one of the best quick explanation of eigenvectors/eigenvalues yet!

@LeiosLabs

7 жыл бұрын

I'm glad it was useful!

thankyou so, much. It was the best explanation, i have yet. Keep it up!!

THANK YOU SO MUCH LEIOS , IT MADE MAKING REVISION OF MATRICIES AND EIGENVALUES MUCH MORE INTUATIVE AND ENJOYABLE !!! :) :) :)

Examiner (no live lectures any more) linked to this at start of course. Very helpful beginning. Thankyou. Gave me an appetite to understand more.

A great explanation. I've been trying to get the physical meaning of this stuff and you've given me just that. Thank you buddy!

I literally have Differential Equations & Linear Algebra test this afternoon, and now I feel much more prepared for theory questions about these. Thanks!

Phenomenal explanation! Extremely succinct and beautifully articulated!

Very informative! This style of teaching video is the best for me more than captured computer screen.

@LeiosLabs

6 жыл бұрын

That was the goal! =)

Short, sweet, and to the point. Very well presented. Thanks!

Seriously, this is the best explanation ever. Can't wait to see your other videos.

@LeiosLabs

6 жыл бұрын

I'm glad you liked it!

Hey man !! thanks a lot for putting this up. Its one of the very few videos that explain it with 3D visualization !! thanks a lot , subscribed

@LeiosLabs

7 жыл бұрын

I'm glad you liked it / it was useful!

Great video, short and informative. The animation really helped me understand what the eigen vectors do, from geometrical perspective. Thank you very much!

@LeiosLabs

6 жыл бұрын

No problem! I'm glad you found it helpful!

Simple, crisp explanation with amazing visualization. Thank a lot.

Wow. That was explained so clearly. Terrific! :)

That was such a good and practical explanation.. i was trying to understand why is it so important from quite sometime!! Thanks Leios..

@LeiosLabs

6 жыл бұрын

I'm glad it was helpful!

In 4 min, I just learned what an eigenvector is. Why did my teacher take 3 hours to teach us this? and why didn't I learn anything in those 3 hours!? Great explanation! So, it seems that eigenvectors can only be used on linear vectors, since the line can only be stretched and not moved around, right? So, what about those points and lines that move around...what are those called?

@LeiosLabs

8 жыл бұрын

To be clear, we are transforming individual points and depicting the vectors as lines between them. We could have had the eigenvectors anywhere else on the plane, it just made sense to have them all go through the origin for visualization purposes. The ones that moved are just ordinary vectors (I don't think they have a special name). Any vector that is not an eigenvector will move around in a similar manner. I hope it helped!

@Antonio-lt1sp

2 жыл бұрын

90%+ teachers are just very bad at explaining things, in my limited experience.

First video from you, and I just subscribed, great video, learned a lot, thanks.

@LeiosLabs

7 жыл бұрын

I'm glad it was helpful!

great explanation and good animation to go with it- gives me a solid understanding

Very clear and easy to understand, thank you very much! I feel like I finally have a grasp on what these terms mean, after having heard of them many times, but never really understood.

This is super helpful and make more sense to learn eigenvalue and eigenvector! Thank you!

Thanks, i always comeback to your channel at some point,years ago for verlet integration, now for eigen vectors that i need for some small derivations in epipolar geometry

The illustration was awesome!

Hi LeiosOS, that was a great explanation witha really cool video. Just found your channel and loved it. Love from India.

this is awesome. I have already studied this and forgotten, but this really helped me remember.

Amazing demonstration. Sir you have cleared my concepts regarding eigenVector

Thanks for the explanation man, it was a really great video!

@LeiosLabs

8 жыл бұрын

I'm glad you liked it! =)

After a semester of Linear Algebra I could find Eigen Values/Vectors but never fully understood what they were. Your explanation is the best I've ever heard. I now have an actual idea of what I'm dealing with.

@LeiosLabs

6 жыл бұрын

Thanks! I am glad it was useful!

Bless your heart for the great visual

thanks! that was the clearest and most concise explanation I've found so far.

@LeiosLabs

7 жыл бұрын

I'm glad it was helpful!

Gratitude for such a lucid explanation. I salute your effort

I went through a bunch of stuff like khan academy, wolfram etc but this explanation was by far the most intuitive.

Thank you soooooo much man, finally I am able to understand meaning of eigen vector, I have an exam tomorrow and no matter how many books I read, I wasn't able to understand the concept of eigen vector, you don't know how much your video has helped me, thanks once again, great video!!! You are the best teacher ever!!!!

@LeiosLabs

6 жыл бұрын

I'm glad it was useful! This is one of the few cases where a clear visualization helps more than any book.

I had seen some videos regarding this Eigen vectors but this video clears my idea . Thank you.

@LeiosLabs

4 жыл бұрын

Glad it helped

What a video!! Wow, Wow, Wow!! I have taken a linear algebra during my engineering degree back in 1986 and only now I understand what eigenvectors and eigenvalues are. Thanks.

Excellent Sonia....A great message put with conviction

Best and simplest explanation that I have ever heard! Thank you

Clear, very clear! And thank you also for speeding up the video while writing on the blackboard!

@LeiosLabs

6 жыл бұрын

I'm glad it was helpful! I make sure that video matches the audio.

Very cool explanation especially the visual demo of the geometrical meaning of eigen vector. Thanks for sharing the video!

@LeiosLabs

7 жыл бұрын

I'm glad it was useful!

I've been struggling to grasp this for 3 semesters but finally understand, thank you!

Your explanation is incredibly clear. Thank you!!

This is really great and simple ; I am eager to watch more of your videos .. good job

@LeiosLabs

8 жыл бұрын

I'm glad you liked it!

Awesome man!!!!!!! I have wondered for some time how to understand eigenvectors. Trying to learn more about matrix multiplications, convolutions, gradient descent and stuff like that too!

@LeiosLabs

6 жыл бұрын

I'm glad ti was helpful! It's easy to understand certain things once they are appropriately visualized.

You just gave me an idea about a math problem in number theory I'm working on..... Thanks, and nice video (lol I needed the refresher).

I found this explanation so helpful. I thought breaking apart the mathematical and physical perspectives made it so clear, and so did the simple examples. Thank you!!!!

@LeiosLabs

7 жыл бұрын

I'm glad it was helpful! =)

Dude...DOOOOD that is the best description I have heard of an eigenvector.

@LeiosLabs

6 жыл бұрын

Dude...DOOOOD I'm glad you found it useful! =)

Wow ! Thanks man...both your theoretical & geometrical explanations are spot on !!!

Fantastic explanation! Very well done, thank you.

thank you very much for this explanation. wow. after many attempts, this is the best I have seen yet.

Thank you so much! This helped a lot even after 4 years :)

dude after studying linear algebra for the past 10 years.....today i understood eigen vectors and eigen values

This is the greatest visualization of eigenvalues!

Wow finally i understood what Eigen vectors are , thanks :)

You just explained to me in 4min what a semester of linear algebra couldn't

Really nice, concise, and clear explanation. Thank you.

Your work is amazing my friend. Thank you ❤❤

I love this. Simple and clear. Bravo!

@LeiosLabs

7 жыл бұрын

I'm glad it was helpful! =)

Your videos are awesome! Keep up the good work sir!

@LeiosLabs

6 жыл бұрын

I'm glad you like the videos!

Simple awesome actually accidentally I found this Channel and now I am so happy af

Cool! According to my understanding, matrix, in certain circumstance, can be treated as a selection mechanism. When you apply the multiplication between specific matrix, for example, A, and vectors in different directions, some of the vectors will show a specific property, under which they only change in magnitude without swaying from their original direction(including the opposite way). These vectors are known as the "Eigenvector".

@LeiosLabs

7 жыл бұрын

Yup, that's exactly right! =)

Very good explanation that help me understand, in some way Eigenvector explains the direction of things. It doesn't matter how it transform linearly by applying magnitude, it will always go to the same direction but some case stretch.

This is the first time I really understand the meaning of eigen vector and eigen value. Great explanation dude.

@LeiosLabs

7 жыл бұрын

I'm glad it was helpful!

This was brilliant. Practical visual example, and not a word wasted. Every other professor writes up four lines of formal definition, and basically explains nothing.

First explanation that actually nails it!! THANKS

Thanks a lot! A simple but clear explanation. Really appreciate this video.

U guys are seriously the best ❤

Boss, you are great. This video makes my thought clearer that before.... Thank you

I love you Leios, good job.

You have changed the game this made so much sense!!! Ty

Good short explanation. Thank you :)

Thanks so much. I've been struggling with this concept, largely due to the way the language is used (darn german words in physics). Especially the geometric visualization. I'd seen the matrix multiplication sort of example before but tying it to the visual of the transform was super helpful. Keep it up.

@LeiosLabs

8 жыл бұрын

Thanks, man! I am the same way. Without seeing the cube physically changing shape, eigenvectors were "mathemagic" to me!

@y.z.6517

6 жыл бұрын

Eigenvector means own vector.

This is the best short summary I've found on KZread. Most linear algebra courses just bury the root meaning and it becomes obscured by the rote memorization of the algorithm. Thank you for this. You should do a more comprehensive conceptual explication of linear algebra concepts... it is much much needed. Three Blue one Brown has a very good series but your explanations are actually better. More insight.

Great explanation. Just wondering now where the eigenvector is used and why it is important. Adding these explanations to the video would complete the video in my opinion. Thanks for the effort!

Thanks a lot. Well done for explaining so much in so little time. I need more videos like this :)

@LeiosLabs

6 жыл бұрын

I don't like wasting people's time. My videos are always short and to-the-point

Perfect. This concept finally "clicked" for me.

@LeiosLabs

8 жыл бұрын

Great! Glad to hear it! It honestly took me a long time to figure this stuff out because it's not presented explicitly in many places.

great!! it was difficult for me to visualize it at first, but explained it very simple way

@LeiosLabs

6 жыл бұрын

Yeah. I am glad it was helpful!

Beautifully simple. Thanks!

Very nice video and straight to the point!. Thanks!.

underrated one Now i just completly understand after searching a lot around 5 months

Lucky me that I found this video that explained the concept mathematically supported with the help of 3d visualization. Great work

Oh! man such an easy explanation! May God Bless you!