Inverting 3x3 part 1: Calculating matrix of minors and cofactor matrix | Precalculus | Khan Academy

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  • เผยแพร่เมื่อ 15 ม.ค. 2025

ความคิดเห็น • 59

  • @mbisetakobana
    @mbisetakobana 9 ปีที่แล้ว +74

    best teacher in the world!you deserve a nobel prize man,your effort is just tremendous

  • @rod6722
    @rod6722 7 ปีที่แล้ว +14

    Maybe I'm weird but inverting a 3x3 matrix using this method is actually one of my preferred things in math so far ! :D Anyway, I can't thank you enough for these videos, helped me a lot.

  • @xxdoge105xx
    @xxdoge105xx 2 ปีที่แล้ว +1

    Bro you saved my life, my teacher told me to learn this on our own for a project, no intervention from her. You were the only way I was gonna pass this project many thanks!

  • @shira966
    @shira966 7 ปีที่แล้ว +7

    Thank you! My teacher didn’t explain it that good, and only now it’s clear

  • @TinyMaths
    @TinyMaths 5 ปีที่แล้ว +4

    Yes, the eternally long process of matrix manipulation by hand. I still haven't mastered it without making 'silly' little mistakes. But I never thought to map it out like you have done here. it's far less messy than the method I've been using. Glad I came across your vid on this one.

  • @TheDelaneyCurry
    @TheDelaneyCurry 4 ปีที่แล้ว +1

    Why is it that my textbook spends 20 pages rambling on and over-complicating the subject, in what takes you less than 10 minutes to explain! Even with the car alarm, this made more sense than my $200 textbook. Thank you!

  • @allanbinoy1058
    @allanbinoy1058 3 ปีที่แล้ว

    Dude the way u just found out to find the co factor is just amazing bro! Hands off

  • @MATHSOLVESZONE
    @MATHSOLVESZONE 6 ปีที่แล้ว +1

    Incredible lecture on minors and Cofactors!!!!!

  • @gugulethuzulu8971
    @gugulethuzulu8971 5 ปีที่แล้ว +1

    Thanx a lot I was really confused. Its my first time with matrices and I was completely lost.

  • @Neo-vc6jr
    @Neo-vc6jr 4 ปีที่แล้ว +1

    We have to find the adjugate (adjoint) of the co-factor matrix and then multiply it with the determinant of the parent matrix.

  • @Onnethox
    @Onnethox 7 ปีที่แล้ว +1

    Ahaha starting the vid real af. Even Khan Academy hates this bullsh*t but I dont understand when you have to put the number in front of the determinant matrix like: for the 1st number (-1) putting -1[1,1,4,5] matrix. I dont know when or when not to do it.

  • @oududtygyfa9806
    @oududtygyfa9806 3 ปีที่แล้ว

    very well explained. i recommend this video

  • @chasemarangu
    @chasemarangu 4 ปีที่แล้ว +2

    A visual learner, I skipped through most of the talking and checked the resulting diagram. Very concise!

  • @sathishnair9639
    @sathishnair9639 4 ปีที่แล้ว

    Thank u very much ❤️

  • @Rafid776
    @Rafid776 3 หลายเดือนก่อน

    you saved my back thanks

  • @Dean-nz9ld
    @Dean-nz9ld 8 ปีที่แล้ว +2

    you are amazing

  • @zamangajacques8287
    @zamangajacques8287 3 ปีที่แล้ว

    U're life saver

  • @yelbaut09
    @yelbaut09 2 ปีที่แล้ว +1

    you need to transpose this co-factor first right before dividing it with the determinant

  • @anoukfleur2513
    @anoukfleur2513 9 ปีที่แล้ว +3

    Not entirely clear: which determinant are you talking about in the end? The one of the cofactor-matrix, or the determinant of matrix C?

    • @anoukfleur2513
      @anoukfleur2513 9 ปีที่แล้ว

      +Anouk Fleur Oh wait, I just now saw the 'part 1'.

  • @rukundoderrick150
    @rukundoderrick150 6 ปีที่แล้ว

    thanks helped!

  • @ric2976
    @ric2976 6 ปีที่แล้ว

    Thank you Sal.

  • @harikrishnanpv5811
    @harikrishnanpv5811 6 ปีที่แล้ว

    Very very thanks😘

  • @lloyb3036
    @lloyb3036 9 ปีที่แล้ว

    You are amazing!

  • @LipeSK20
    @LipeSK20 6 ปีที่แล้ว

    Thank you.

  • @thaison7332
    @thaison7332 2 ปีที่แล้ว

    tks bro

  • @shobhitsadwal756
    @shobhitsadwal756 8 ปีที่แล้ว

    thanks man .....

  • @vedsoni3600
    @vedsoni3600 4 ปีที่แล้ว

    whats your most favorite thing to do by hand?

  • @gurumurthyd8232
    @gurumurthyd8232 4 ปีที่แล้ว

    can u please tell which ur using for the board

  • @jmoney-no5tk
    @jmoney-no5tk 3 ปีที่แล้ว

    thanks so much lmao my teacher explained it weird this rly helps

  • @taureankartik4
    @taureankartik4 8 ปีที่แล้ว

    on changing the columns the - + - sign changes right???

  • @rudravaidya1044
    @rudravaidya1044 2 ปีที่แล้ว

    In the end you take the transpose of the matrix and then divide it with the determinant

  • @violettiourestinpeacetechn4742
    @violettiourestinpeacetechn4742 3 ปีที่แล้ว

    Not sure if anyone is going to answer this, but- What is a matrix of minors and what does it do? And what is a cofactor matrix? Thanks!

  • @debasmitamandal7841
    @debasmitamandal7841 6 ปีที่แล้ว +3

    Wow 3.8M subscribers

  • @Maina-ke9vz
    @Maina-ke9vz 4 หลายเดือนก่อน +1

    2024

  • @alexandrestamkos7488
    @alexandrestamkos7488 3 ปีที่แล้ว

    goated youtube channel

  • @polandball8279
    @polandball8279 ปีที่แล้ว

    His passive annoyance towards the matrix is genuinely making me laugh.

  • @SupersonicProd
    @SupersonicProd 8 ปีที่แล้ว

    Hello can anyone please tell me what are leading principal minors? Thank you

  • @gurumurthyd8232
    @gurumurthyd8232 4 ปีที่แล้ว

    which app*

  • @wikidata.
    @wikidata. ปีที่แล้ว

    better than one peas frfr

  • @taureankartik4
    @taureankartik4 8 ปีที่แล้ว

    is
    + - +
    - + -
    + - +
    - + -
    applicable for 4×4 matrix? ??

    • @OONH369
      @OONH369 6 ปีที่แล้ว +1

      Yes, but it is:
      + - + -
      - + - +
      + - + -
      - + - +

  • @arjunnkandath3074
    @arjunnkandath3074 3 ปีที่แล้ว

    Why can’t all teachers explain like this ?

  • @thcaficionado237
    @thcaficionado237 4 ปีที่แล้ว

    Tried using this formula and got it wrong
    We are suppose to interchange the minor diagonal

  • @hajjhabibhabib8249
    @hajjhabibhabib8249 3 ปีที่แล้ว

    Good explanation. But to much colours

  • @ashishkumarsharma1323
    @ashishkumarsharma1323 6 ปีที่แล้ว

    In India you don't get any calculator or computer. All by hand and brain. Even the weirdest and hardest calculations.

  • @mokhudulesetsa76
    @mokhudulesetsa76 6 ปีที่แล้ว

    It's -10 not 2 on minor factors

    • @geoorgieboy111
      @geoorgieboy111 5 ปีที่แล้ว +1

      no, its 2... because its (-1*4)-(3*-2) = -4 + 6 = 2

  • @uvlinavon8301
    @uvlinavon8301 8 ปีที่แล้ว

    Can anyone say what is the current software Khan using? because i see a hand as cursor...but smooth draw doesn't show that cursor..( some where i heard that it was smooth draw)

    • @OONH369
      @OONH369 6 ปีที่แล้ว

      I think it is something from Autodesk (with Premium subscription)

  • @ridmasathsarani7468
    @ridmasathsarani7468 3 ปีที่แล้ว

    So...All of this is just another way of finding the inverse of a matrix? Someone pls help!

  • @Vetonator
    @Vetonator 9 ปีที่แล้ว

    145k views, 4 comments...

  • @frenchschoolwork9930
    @frenchschoolwork9930 4 ปีที่แล้ว

    hey i love you i wanna kiss you

  • @rohanlekamge
    @rohanlekamge 5 ปีที่แล้ว

    Thank You...