🔷14 - Eigenvalues and Eigenvectors of a 2x2 Matrix

[@bonyevitus8979]

In fact... I rank you so far to Organic Tutor, J.G...am speechless 😮.... Lord I copy n paste dis generous brain of this Man😂❤... U good... kudo's

[@SkanCityAcademy_SirJohn]

Awww thanks so much Bonye

[@MuctaruKabba]

I was stuck in understanding how to go from the second to third step of finding eigenvectors. Your third equation and explanation have help me immensely. I'm still a work in progress, but I may have crossed the Rubicon, thanks to you.

[@SkanCityAcademy_SirJohn]

Awww. I'm so happy for you

[@sloshycomic123]

Thank you so much, my test is later today! Very clear explanations

[@SkanCityAcademy_SirJohn]

Awwww nice. Good luck

[@rahmandesigns]

Thank you very much Sir🙏

[@SkanCityAcademy_SirJohn]

Youre welcome

[@ahmadyusuf4903]

Thank you Sir,
Please how do I find the eigen vectors using magnitude formula

[@kwame7003]

Great 👍😃

[@SkanCityAcademy_SirJohn]

thank you very much @Kwame.

[@lucasjohnson7588]

Great

[@SkanCityAcademy_SirJohn]

Thank you Johnson

[@menglishspeaking2405]

❤️❤️❤️❤️❤️❤️❤️

[@BadamagsiTimothyAbdulSal-dw9ky]

Dam good🎉

[@SkanCityAcademy_SirJohn]

Thanks so much

[@bestanimerecaporiginal]

Hello sir am a student and am thinking of starting my own channel... Please what software are you using

[@SkanCityAcademy_SirJohn]

That's great. Camtasia for recording my laptop screen, smooth draw for writing

[@bestanimerecaporiginal]

Thank you sir

[@JOJOJOE-mm4zq]

WHY DID YOU DIVIDE ROW 1 BY NEGATIVE ONE OVER FOUR FOR THE SECOND EIGEN VECTOR. YET FOR THE FIRST EIGEN VALUE YOU ONLY MANIPULATED ROW 2 ONLY.

[@SkanCityAcademy_SirJohn]

It's very simple, the idea is to reduce the augmented matrix into it's row echelon form, that way because we have a 2*2 matrix, the a21 value needs to be zero.
So based on the elements in Row 1 we perform elementary row operations to get a zero for a21.

[@AFCOE]

Any value we choose for X2 will be valid?

[@SkanCityAcademy_SirJohn]

Yes, but usually we choose smaller numbers like 1, -1 etc for simplification and analysis.

[@SkanCityAcademy_SirJohn]

Where do you watch me from?

[@AFCOE]

@@SkanCityAcademy_SirJohn Cameroon🇨🇲🇨🇲+237

[@AFCOE]

@@SkanCityAcademy_SirJohn please sir where are you too?

[@SkanCityAcademy_SirJohn]

I'm from 🇬🇭 Ghana