## Finding Eigenvalues and Eigenvectors

In studying linear algebra, we will inevitably stumble upon the concept of eigenvalues and eigenvectors. These sound very exotic, but they are very important not just in math, but also physics. Let’s learn what they are, and how to find them!

Script by Howard Whittle

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What is the physical significance of eigen value and eigen vector??

Why change the second row at 9: 16 to ( 0,0)?

Geometrically, an eigenvector of a matrix A is a non-zero vector x in R to the power n such that the vectors x and Ax are parallel

Thank you Professor Dave your great work is much appreciated

at 9:48 why you choose x1=1 you didn't told reason

Thanks, prof..

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@Professor Dave Explains may God bless you.

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very helpfully thanks a lot

Well explained!

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you are a saint. there is no way to thank you enough.

This is like insane teaching! you have made it sooo easy to understand this, thankyou Professor Dave!

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Thank you very much

Confusing explanation

love this explanation! now that i have found your channel, i just move over to your math playlist every time i don't understand my university syllabus. thank you and keep up the great work! :))

Fantastic job sir👌

Did anyone notice that

sum of all diagonal entries = sum of all eigenvaluesThank u so much sir for such a great explanation 🙏🏻 plz keep posting such videos

Sir, do I have to only choose X1 as 1? Or I can also choose X2 as 1 and then find corresponding value of X1?

Because my answer is exactly reverse of what is being shown on screen at 16:35

For the Comprehension question given at 16:06. If we choose X2=1 for finding one eigen vector then we should also choose X2=1 for finding the other one right?

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Thank you so much for this simple explanation

Thank you so much Sir…/ You explain the topics way more easy for us to understand…

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hello professor, i did not get point, why x1=x2 is equal to 1… where this 1 comes from, which rule, am so confused.

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you explain stuff THE most clearly on youtube right now

great explanation appreciated a lot !!!! I understood now I couldn"t get it from the lectures.

Thank you professor,now I can solve any problem related to this topic

Thank you so much 💓

orakerns

I self learned linear algebra with the help of your videos, the appreciation is not describable. Thank you so much professor Dave

Thank you thank you 🥰🥰🥰

If I get x1 = -x2, and x3 =0. then both ( 1 -1 0 ) and ( -1 1 0 ) are eigen vectors?, if we multiply them with -1, it willl change eigen value as well?

You explained this process better than my professor…Thanks so much for your help! I understand how to calculate eigenvectors now!

He breaks every topic in such a beautiful way and most importantly easy to understand.

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I was so depressed from college and the fact that I can not follow up with my classmates. BUT NOW, I feel I can explain to the whole class. Thanks a lot plz keep your work! You are amazing.

Hi at 11:00 you said 2×1 + x2 = 0, shouldn't it be x2 – 2×1 = 0, so x2 is 2×1?

Great video with quality information, thank you.

Incredible how you explain these things so clearly and so accurately even though you're not a math major (that's a compliment). Kudos!