Finding Eigenvalues and Eigenvectors

Finding Eigenvalues and Eigenvectors

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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47 Responses to “Finding Eigenvalues and Eigenvectors”


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

  2. Hustler 001 says:

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

  3. Pratik Sonawane says:

    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

  4. sfundoY 5dube says:

    Thank you Professor Dave your great work is much appreciated

  5. Azhar Khan says:

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

  6. Akash Sharma says:

    Thanks, prof..

  7. FA20-BSM-028 (AMNA FAROOQ) Unknown says:

    rank of matrix py b video upload kry linear algbra py

  8. Fatimah Osman says:

    @Professor Dave Explains may God bless you.

  9. Kamsy's Kandy Krush says:

    You cut your hair!!!😭😭😭

  10. Jacqueline Tan says:


  11. shakhwanm says:

    very helpfully thanks a lot


    Well explained!

  13. Edudzi Mac says:

    thanks prof

  14. Sebastien Bolh says:

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

  15. Radac says:

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

  16. Ashutosh Jha says:

    you are looking handsome sir

  17. Фирюза Ибрагимова says:

    Thank you very much

  18. John Fernandes says:

    Confusing explanation

  19. Arzoo Kharayat says:

    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! :))

  20. danish ahmad says:

    Fantastic job sir👌

  21. arpit parekh says:

    Did anyone notice that sum of all diagonal entries = sum of all eigenvalues

  22. Garima Kimothi says:

    Thank u so much sir for such a great explanation 🙏🏻 plz keep posting such videos

  23. MVOM says:

    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

  24. BT20CS021 [Gospel] says:

    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?

  25. Jumanji says:

    U r god sir🎉🎉

  26. Eliyah Omar Elmoré says:

    you are unbelievable

    Thank you so much for this simple explanation

  27. Padma Sri Nitya says:

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

  28. CatsBirds2010 says:

    Great job!

  29. A_40_Manas Gupta says:


  30. ayesha ashraf says:

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

  31. Hifsa Rehman Sp19 bscs 017 says:


  32. Troy The food eater says:

    thank you so much

  33. Casper Ablij says:

    you explain stuff THE most clearly on youtube right now

  34. daphneashba says:

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

  35. Tinbite Ermias says:

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

  36. micro app says:

    Thank you so much 💓

  37. Ahmerdaya Disamburun says:


  38. Dawintch says:

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

  39. Haval Sindi says:

    Thank you thank you 🥰🥰🥰

  40. Fahad P says:

    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?

  41. menchu56 says:

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

  42. Isabella Pardo says:

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

  43. Lethabo Matabane says:

    Thats the craziest intro ever, love love love lol

  44. lames ali says:

    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.

  45. Embargo123 says:

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

  46. waysideme says:

    Great video with quality information, thank you.

  47. Sipnayan says:

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

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