A linear discrete dynamical system and its eigenvectors

[@carlosagorreta5276]

Your videos are so good that I can't believe they have such a small amount of views! KZbin is unfair.

[@dangries3868]

Very glad you enjoyed this!

[@xy-mw9nx]

Incredible quality of explanation through your application. All of your other videos are also great. Channel is deserving of more attention.

[@olehborys1462]

Just perfect and brief explanation what eigenvectors are in fact and great example of usage. Thank you!

[@adamnoel3936]

How does this only have 66 views? This is amazing. Thanks man. This made the last two days of my 304 class make sense!

[@rolloisles]

Adam Noel Thank you! I made this for my students, but I tried to make sure it would be useful for anyone else studying this topic. Very glad you found it useful!

[@stevenjames5874]

Wow. That was really well done! Otto's book is horrifically dense at some points, and I felt that this particular example was poorly introduced in the text. You've completely de-mystified the discrete dynamic system.

[@meharjeetsingh5256]

I just started learning these systems and now I can say that I have a solid foundation. Thanks

[@aidengonzalez8073]

Incredible video, very good demonstration of the system. Thank you!

[@LukasLampe]

amazing video, deserves way more views. Thank you!

[@Bokkie312]

this video made my linear algebra course bearable

[@rajat4640rajat]

Thanks Dan. Your video gave a deep insight. It also answered to many of my queries I had before watching this video.

[@Synapsecentralvids]

Well explained

[@sahilrizal607]

This is really amazing. Good job!

[@evelyntromp789]

This is amazing! Thank you so much!!

[@zoegaouette4909]

Thank you so much for creating this video, it helped me understand this concept. Have you published this simulation you created? It looks so cool, I'd love to check it out.

[@dangries3868]

This is just something I coded in Processing. Thank you for the suggestion. If I ever have the time, I'll share it!

[@beersforever]

Respect, great video.

[@RubyPenafiel-Gutierrez]

Wow. Just wow tysm!

[@nehanaveen3222]

🤠👍

[@nehanaveen3222]

me too thank you for this video!

[@jbgoogl]

Hello, thank you for this helpful video. Have you shared the program you created anywhere, yet? Thanks for your time,

[@dangries3868]

Sorry! I haven't shared that anywhere and I don't have any plans to dig it up. I wrote that code in Processing just for this demo.

[@LukasLampe]

wouldve loved to know what happens when you put a point directly on the line that makes the difference

[@dangries3868]

I should have done that! What happens is this: when we click right on the line, we are choosing a scalar value of zero for the b1 component, so the state vector is just a scalar multiple of b2. Such an initial state leads to exponential decay and the populations both approach zero.

[@jirkadolezal8127]

👍👍👍👍👍👍👍👍👍👍👍

[@gavinliu762]

Love ur video help me a lot

[@SiriusFuenmayor]

great

[@jachymkovari1576]

Its nicely explained but after i calculated eigenvalues i discover that you are wrong you round those 2 numbers, but with rounded numbers you cant get eigenvectors. I changed values of matrix to 1,5 -0,8 for rabbits and 0,3 0,5 for coyotes, after that you will have same eigenvalues and your eigenvectors will be (4 3) and (2 1).

[@SiyaMedia]

What programming language did you use for your simulation?

[@dangries3868]

I used Processing, available at processing.org. The JavaScript-based p5.js would also be a good choice. It's available at p5js.org.

[@raymondchen2787]

wow great video, the only useful one I found

[@dangries3868]

Glad it a helpful to you. I enjoyed making it!