3 x 3 eigenvalues and eigenvectors

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  • Опубликовано: 10 июл 2024
  • In this video, I showed how to find eigenvalues and eigenvectors of a 3x3 matrix
    Watch detailed explanation of eigenvectors here
    • Eigenvalues and Eigenv...
    The other eigenvectors are:
    for lambda = 2, [ 2 1 0 ]
    for lambda = 3, [ 1 2 1 ]

Комментарии • 59

  • @shumiraimudima999
    @shumiraimudima999 2 месяца назад +51

    where have you been all my life ?

  • @MrBPC76
    @MrBPC76 4 месяца назад +16

    It has been so long since I have taken, or even used, most of the math in your videos, but I watch them every time you post one. Thank you for giving me exercises to keep my brain in shape!

  • @user-wm1fg6ul8n
    @user-wm1fg6ul8n Месяц назад +3

    You have got way too much style to be this good of a math teacher

  • @prestonlauu
    @prestonlauu 3 месяца назад +9

    this has to be the most helpful video for this subject, thank you so much

  • @FoudakongWilliam
    @FoudakongWilliam 2 месяца назад +1

    i appreciate the way of explaining , thanks 🙏

  • @mereal250
    @mereal250 4 месяца назад +6

    Love this man.

  • @user-gg4yw4mf8b
    @user-gg4yw4mf8b 29 дней назад

    Love the Explanation !! very clear

  • @eslamhany2483
    @eslamhany2483 Месяц назад

    I really appreciate your explanation and your videos 🖤🌠

  • @bryanrivera2469
    @bryanrivera2469 2 месяца назад

    Great video, so helpful!

  • @vishujk01928
    @vishujk01928 Месяц назад +1

    Thankyou sir ,great explanation cleared all my doubt.

  • @shofiyazha
    @shofiyazha Месяц назад +1

    finally, perfect teacher

  • @Sele-rk1jk
    @Sele-rk1jk Месяц назад

    what shall we do when we plug in one of the eigen values then one of the column of the chxcs polynomial becomes zero?
    thank you for your help.

  • @v4dl45
    @v4dl45 Месяц назад

    Lovely video!!! Thank you brother!!

  • @ridwanalawode
    @ridwanalawode 4 месяца назад +3

    evaluate the integral of I = ∫[1,0] (x + y) dx from point A(0,1) to point B(0,-1) along the semicircle y = √(1-x²),

  • @punditgi
    @punditgi 4 месяца назад +9

    Prime Newtons makes this topic clear as a bell! 😊

  • @sametaltndal1787
    @sametaltndal1787 9 дней назад

    In some sources, we need to convert it to echelon form after lambda placement. What is the difference?

  • @Miss_Math_
    @Miss_Math_ 26 дней назад +1

    Absolutely amazing

  • @syedmuhammadalibukhari1875
    @syedmuhammadalibukhari1875 Месяц назад

    Thank you soo much. You solved my problem

  • @princesspeaceephraim4645
    @princesspeaceephraim4645 2 месяца назад +1

    Hello Sir...
    How do you factorize???😢

  • @muhammedahmed8056
    @muhammedahmed8056 Месяц назад

    nice presentation thank you

  • @YitagesuAyalkibet-sp3em
    @YitagesuAyalkibet-sp3em Месяц назад

    I like your video a lot

  • @dylanbailey5776
    @dylanbailey5776 2 месяца назад

    You're the man

  • @gameronyx
    @gameronyx 2 месяца назад +1

    Exact same question i saw in my past questions 😮

  • @user-df5nl7ov1i
    @user-df5nl7ov1i Месяц назад

    You are great thanks guys so much 10Q a lot

  • @christoskettenis880
    @christoskettenis880 4 месяца назад +1

    Nice example

  • @surendrakverma555
    @surendrakverma555 4 месяца назад

    Thanks Sir 🙏

  • @matthewstuart8723
    @matthewstuart8723 Месяц назад

    Good video thank you

  • @TJBEATSAMV
    @TJBEATSAMV 8 дней назад

    Thanks !!

  • @jaanu_10
    @jaanu_10 Месяц назад

    Love ur smile sir❤

  • @yaredgirma4047
    @yaredgirma4047 2 месяца назад +1

    Keep it up bro

  • @ferdinandinc2899
    @ferdinandinc2899 2 месяца назад

    I love you man. I owe you my degree

  • @khanSameerKhan-sz7gn
    @khanSameerKhan-sz7gn 21 день назад

    Why do you not use calculater to find eigenvalues

  • @AlirezaNabavian-eu6fz
    @AlirezaNabavian-eu6fz 3 месяца назад

    Excellent

  • @8kw7mx9
    @8kw7mx9 3 месяца назад

    please more linear algebra

  • @saqibiqbal1794
    @saqibiqbal1794 2 месяца назад

    Does it matter which order we put the eigenvalues? For example if we did λ1 = 3, λ2 =2 , λ3 =1? I know how to answer this but my lecturer always has a different order of eigen values, which also changes the order of the eigen vectors

    • @sarasaleem7420
      @sarasaleem7420 Месяц назад

      Did you figure out if the order matters or not, I'm also stuck on the same issue. Cause if we change the order of eigenvalues, i think we get different eigenvectors as well

    • @fearmyshadow4685
      @fearmyshadow4685 7 дней назад

      @@sarasaleem7420 yes the order matters when you are checking for diagonalization

  • @artem_mma
    @artem_mma Месяц назад

    Legend

  • @kornelviktor6985
    @kornelviktor6985 4 месяца назад

    Like the new profile picture very much

  • @matteofurbatto1805
    @matteofurbatto1805 Месяц назад +2

    I dont often coment but great video

  • @MBSall
    @MBSall 3 месяца назад +1

    Thanks prime newtons

  • @heroasik5423
    @heroasik5423 2 месяца назад

    If |P|=1 and D=diagonal matrix and A=(invP)DP then we can construct as many square matrix as we want whose eigen values all integers

  • @JourneyThroughMath
    @JourneyThroughMath 4 месяца назад

    Not the best video to post on but would you consider doing a lecture series on differential equations more to the tune of how a class would look?

    • @PrimeNewtons
      @PrimeNewtons  4 месяца назад +6

      I am planning long classroom-videos but not now. I need to get some things out of the way first. I promise, many series are in the making.

    • @JourneyThroughMath
      @JourneyThroughMath 4 месяца назад

      @@PrimeNewtons I look forward to it!

  • @zamathandscience1
    @zamathandscience1 Месяц назад

    thats why hIs the GOAT!

  • @holyshit922
    @holyshit922 4 месяца назад +2

    Maybe case when we dont have full set of eigenvectors

  • @english_with_bee
    @english_with_bee Месяц назад

    12:27

  • @JSSTyger
    @JSSTyger 4 месяца назад +1

    Yeah I got a big fat F in linear algebra. I started trying to reduce this to reduced row echelon form.

  • @english_with_bee
    @english_with_bee Месяц назад

    ❤❤❤😊

  • @benahmedyasser7415
    @benahmedyasser7415 Месяц назад +2

    Never stop learning
    Those who stop learning stop living

  • @mnqobimsizi4328
    @mnqobimsizi4328 Месяц назад

    man the past 2 year i was doing it by GUASSIAN ELIMINATION.

  • @tiara7624
    @tiara7624 3 месяца назад +2

    You cooked

  • @MebreLala
    @MebreLala 4 месяца назад

    How could it be like that? When we make the first determinant of lambda 2, X3 = 0, then we put 2(X2) instead of X1, and how come the vector [2 1 0] is obtained when lambda = 2? I don't understand, is there anyone who can explain it to me?

    • @dirklutz2818
      @dirklutz2818 3 месяца назад

      A (matrix) * [2 1 0] (Eigvector lambda2) = [4 2 0] = 2 (Eigval lambda2) * [2 1 0]
      A (matrix) * [1 2 1] (Eigvector lambda3) = [3 6 3] = 3 (Eigval lambda3) * [1 2 1]
      A is a matrix (an operator) that works on a vector to become a VALUE times that vector. That's the way to do a measurement in quantum mechanics.