Find Eigenvalues and Eigenvectors of a 2x2 Matrix

We work through two methods of finding the characteristic equation for λ, then use this to find two eigenvalues. We use Ax=λx to calculate two eigenvectors, then look at a visualisation.

[vp]

Thanks for explaining "eigen" things with what has to be the *clearest* and *fewest* words possible in both this and the next video about diagonalizing. I say that after watching a dozen other videos on this topic, including some with elaborate moving graphics and animated icons. Most needlessly confuse exposition of concepts for exposition of methods, which you have skillfully avoided. Thanks again.

[johnniemojo]

A very clear explanation of the subject. Probably one of the clearest ones I've seen. Well

[DatNguyen-pyzv]

Absolutely love your method of teaching! Your pace and showing by examples is what makes you stand out amongst other tutorials on Youtube. Thank you.

[gfarmer]

This is the clearest explanation of Eigenvalues and Eigenvectors that I've seen. Showing the transformations on the graphs ties it all together. Thank you!

[adorablewigglingbunnynoses]

I don't know a thing about eigenvalues and eigenvectors and i am trying to learn and this is the best and easiest video i could find on this subject. I am glad it only had 1 example so i can re-watch this video as many times as i need to without feeling overwhelmed or confused or frustrated👍👍

[s.sradon]

I'm in 3rd year of uni, this is extremely useful despite being an 8 year old video and will continue to be for atleast another 8 years.

[remitto]

This is like the 6th video I have watched; I finally understand it (kind of). Thanks!

[shim]

Your videos are by far the best to explain Maths procedures ! No matter how many steps are involved, your explanation is clear and concise. (Level 2 OU student here!)
Thank you ♥️

[parassharma]

Thank you so much for all the effort & time you put into explaining all of this so clearly. Gonna learn a lot from your other videos as well. THANK YOU!

[icode]

Thanks this was the best video that clearly explains the terms. Keep it up. You are doing a great job.

[guiray]

This series was one of the clearest and best ever. Thanks very much.

[treeobservation]

Finally, I found a woman who explains maths at the level I am studying. Thankyou

[vanclise]

Very clear explanation, in the sweetest voice, thanks a lot.

[eddiechen]

very clear since you have explained why det(A - lmda * I) = 0, everything makes sense, many thanks!

[dameo]

You've made this concept to be so easy and clear in a short time....thank you very much

[adrielroman]

Thank you for making this video. It helped me alot in my Vector Class :)

[karimnuri]

THANK YOU SO MUCH
You don't understand how much you've helped me. Thank you.

[sayem]

I wish you I found you at the beginning of my semester. Thank you.

[harunamuhammadhamza]

this has to be the best video on this topic, thank you.

[TheNetkrot]

Thank you, this was clearing up everything I didn't understand about Eigenvalues and Eigenvectors... I have gone through lots of material trying to figure out what is was about and finally managed to understand this now ... thanks again.