Complex Eigenvalues

[@JesseStOnge-wq5jo]

I had a Differential Equations test I was struggling for on complex eigenvalues and I watched a couple other videos to try and understand the process but this guy absolutely cleared things up and thanks to him I think I rocked the test.

[@BatehamRadio]

The feeling when this man can make you understand complex eigenvalues in 7 minutes compared to a 1 hour and 45 minute lecture.

[@tozinikki]

m still suprised as well

[@webeownin1852]

Dude, you are the man! So clear, so epic

[@Nina-hx6jb]

came to your video confused and left feeling better. your explanations are simple and clear, thank you!

[@mathproblemssolvedcraigfau775]

Hi Nina, thanks for saying so! I'm very glad that this helped you out!

[@jose10garcia]

I have been struggling to learn this for an entire week. Looking through my notes, going to my TA, reading the textbook, nothing helped. This helped me so much! Can't thank you enough

[@michaeldavis1170]

@jose10garcia I'm so glad I found this video just made me realize I am learning more from KZbin then in class.

[@jostafro4967]

This is the only video I trust because everyone else disables the comments. Thank you and good work.

[@markwatson7986]

one of the best explanations I've seen so far! great stuff helped a lot

[@金俊植]

Thank you so much 😭 after 15 submissions, I finally find your video and got the right answer

[@user-cw1ht6vc4k]

DFQ final in 12 hours !! SERIOUSLY YOU ARE THE MAN!!!!

[@EPL-bp4cd]

Wow this is actually a lot simpler than I thought. Remember the identity and it's just a bunch of alegebra. Thanks for the explanation!

[@brettyamagiwa4513]

What up Craig! I was in your 2019 fall core class. Thanks for the foundation you gave me and the help today too. For what is worth your gifted man. Have a good one.

[@mathproblemssolvedcraigfau775]

Brett! I remember you -- you're in Differential Equations now? That's fantastic! I'm down the road, over at ACC these days

[@brettyamagiwa4513]

@@mathproblemssolvedcraigfau775 Linear Algebra, but the math was more or less the same with different notation. I asked about you the semester after I took your class and they said you moved to ACC. Hope all is well with you. Thanks again, your class is what showed me that I could do it.

[@istainblack]

THANK YOU SO MUCH!!!! SERIOUSLY THANK YOU!!! I was really struggling with this topic and I found this video tremendously helpful!

[@chaosend3815]

Best explanation I've come across, thank you very much

[@irinamora15]

Great video! One of the best on this topic.

[@lomochauhai]

fucking amazing man seriously

[@frostkqt9943]

you have saved my life thank you so much

[@AliIssa-zh7ou]

You are an absolute legend

[@agnesm8440]

This is such a good explanation!

[@jeraldabecia8394]

I just want to ask in 5:43 why cos in C2 is positive if b = -3 it shouldn't be -cos 3t - i sin 3t?

[@ucantsmokethathere]

wow the way you explain math is more clear and easy to follow than anyone i've seen on youtube. You also edit the video in a way where the steps go fast but it is not hard to follow. You have a gift, thank you sir.

[@mathproblemssolvedcraigfau775]

Thanks so much for the kind words, ucantsmokethathere. I'm glad the video helped you!

[@ronaldinho4eva1]

Wonderful example. Thank you for teaching!

[@hbkbv188]

So if all equations are the same, we can sub any value as b? Or is it only when exactly 2 equations are the same we can sub any value as b (2:31)

[@nataliemendez9153]

You sir, are a good man!

[@chitamubianahangoma4675]

excellent....best explanation ever!!

[@yoyoezzijr]

if λ = α ± βi, can we choose one value and write X = C1 e^αt Re{v e^βit} + C2 e^at Im{v e^βit} ?

[@sav9435]

Thank you so much for this video, it really helped me a lot!

[@candybarbaran2629]

Thank you !!! I soo needed this quick and to the point

[@platoathens257]

If you were to use the first equation instead and solved for B in terms of A, you'd get B= ((1+3i)*a)/5. So you could have an eigenvector of X = [ 5 1+3i ] This would lead to a different general solution, would it still be valid?

[@mathproblemssolvedcraigfau775]

Hi Plato! Notice that if you multiply each element of your eigenvector by (1-3i) you get the eigenvector [ 5(1-3i) 10 ] which is a multiple of the eigenvector we got in the video. So your eigenvector is just a multiple of mine!

[@platoathens257]

@@mathproblemssolvedcraigfau775 Ahhh okay, perfect! Thank you. I just had an exam on this yesterday and was still a little unsure of the different meanings of solving the system differently. I appreciate it!

[@niladerp]

YOU SAVED MY LIFE

[@mathproblemssolvedcraigfau775]

I'm glad to have helped, chetna!

[@mathproblemssolvedcraigfau775]

Oops, nilsu... not chetna lol

[@eggtoast]

Thanks a bunch for the explanation on the general solution part. Do you have a video on topological conjugacy? Thx.

[@arvinsharifbaev]

Amazing explanation. Thank you!

[@tabarakalmosawi6659]

Thank you! That was super helpful!!!

[@mahmoudmosleh749]

thank you!......can you please tell me what program are you using? :D

[@KingDuken]

Perfect review, thank you.

[@mtahir9181]

Thank You. very helpful.

[@mathproblemssolvedcraigfau775]

Glad it was helpful!

[@themanagement69]

thanks bro, taking chapter 3 test in 20 minutes lol.

[@matthewfreire8783]

Great explanation man!

[@l8870]

dude you're awesome!

[@mathproblemssolvedcraigfau775]

Hey, thanks Luca!

[@heeyanabanana]

Great video, thanks

[@ericg6772]

this helped me sooo much!

[@chaeairsoft]

Really clear !

[@mathproblemssolvedcraigfau775]

I'm glad it helped!

[@jeraldabecia8394]

Still active?

[@mathproblemssolvedcraigfau775]

Yeah, sometimes :) had an accident late last year, but eventually I'll get back to making videos

[@safa5951]

From Libya, thanks

[@mathproblemssolvedcraigfau775]

You're very welcome!

[@tadiwamanzungu6510]

Great video, thanx a lot

[@sebastiancardona156]

Muchas gracias mi hermano

[@mathproblemssolvedcraigfau775]

Con gusto, Sebastian :)

[@mohanprasad6373]

Fantastic easy way

[@mathproblemssolvedcraigfau775]

I'm glad it helped you out!

[@shudumamphoto4243]

thank you so much

[@sandlertossone1813]

Thanks so much.

[@jeh3774]

LEGEND!

[@hemaelganiny]

thanks❤

[@ahmedashour8634]

Thanks

[@PJdoes3D]

Who the hell disliked this

[@StarcraftGGxx]

oh ma goodness

[@Jemiiiimmaaa]

U R LIFE

[@babymeej]

KING!

[@babymeej]

L E G E N D

[@ottodvalishvili7601]

finally non indian :)

[@iusedtobetoxic4752]

Thank you so much