Row reduction, row-echelon form and reduced row-echelon form

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  • Опубліковано 1 гру 2024

КОМЕНТАРІ • 107

  • @bonaboiz718
    @bonaboiz718 5 років тому +225

    This is GOLD. Education would be no big deal if you had a video like this for all type of technics.

  • @jasrindersingh5836
    @jasrindersingh5836 6 років тому +44

    this was a 100% better explanation than my finite professor, thank you

  • @iamyiyaj646
    @iamyiyaj646 3 роки тому +25

    very helpful! I love how you explain the rules in the beginning first instead of just going into it like everybody else. I was confused on how to know what operations to actually do in the rows and you helped with that

  • @tessacortes9226
    @tessacortes9226 6 років тому +49

    Thank you so much. This is so much clearer than my textbook and class.

  • @jakobpind
    @jakobpind 7 років тому +89

    HI Lorenzo. Just wanted to thank you for explaining it, so even I can understand. Had it in class today, and it made zero sense to me. Now i get it. Thank you very much!

  • @sasidharrathnam2057
    @sasidharrathnam2057 5 років тому +20

    Seriously this is the best explanation I've got through youtube. Thanks again..

  • @Picklejar75
    @Picklejar75 8 років тому +241

    best explanation on youtube, wish i has seen it earlier.

  • @themustangmachine
    @themustangmachine 4 роки тому +10

    This is a great explanation! Thank you for explaining this in a clear and concise way!

  • @fadedthanahoee
    @fadedthanahoee 5 років тому +20

    Thanks for the explanation. Have an exam tomorrow, this helps a lot!

  • @SEEKINGKNOWLEDGEMIND
    @SEEKINGKNOWLEDGEMIND 5 років тому +47

    Best explanation, even better than my teacher

  • @maazahmedpoke
    @maazahmedpoke 6 років тому +142

    PIVOTTT! PIVOTT! PIVOT!

  • @JaimeHernandez-hx8xe
    @JaimeHernandez-hx8xe 4 роки тому +5

    in Min 3:15 why the substraction is equal to 3 i thought it will be -1 , I am taking about the 2 row and the 2 item of the row which originally was 1.

  • @amosfondo9940
    @amosfondo9940 6 років тому +7

    This is so wonderful. Everything is well explained, love it!

  • @junohara1713
    @junohara1713 4 роки тому +1

    Hi Lorenzo. Covid lead me here. I like your paper with David Auckly, and have cited it several times. It's nice to know your great activity, both in research and education.

  • @BayAreaChill
    @BayAreaChill 4 роки тому +1

    this video is underrated in so many ways

  • @enamulkarim8735
    @enamulkarim8735 3 роки тому +4

    thanks a lot sir ....for making it so easy...my teacher's explanation was the worst..i had to say...LOVE FROM INDIA

  • @barretttoups6496
    @barretttoups6496 4 роки тому +3

    I like to enter the matrix into my Casio 9750 and then use the RREF tool to determine the solution.

  • @skittles6486
    @skittles6486 5 років тому +2

    Very good and simple explanation. Thank you

  • @ahlem4217
    @ahlem4217 3 роки тому +4

    First thank you for this explanation it's really useful ! it's just that I don't understand how the 2 in the first row just became 4 (??)

  • @mehanaziqbal5434
    @mehanaziqbal5434 5 років тому +5

    You're a life saver!

  • @lovealter4246
    @lovealter4246 6 років тому +2

    hello, sir. Thank you so much. really helpful to understand difference between ref and rref!!! thank you so much!

  • @GurpreetKakar4873
    @GurpreetKakar4873 7 років тому

    Best explanation on UA-cam. Thanks very much.

  • @trillonairesclub2329
    @trillonairesclub2329 4 роки тому

    woow i can t leave without a comment THIS IS VERY AWESOME THANK YOU GOD BLESS YOU

  • @anandahlawat7967
    @anandahlawat7967 4 роки тому +2

    Thank you so much for the perfect explanation

  • @ihebhaboubi1570
    @ihebhaboubi1570 6 років тому

    i couldn't understand it until i watched this video , thank you

  • @SauravKumar-mp7xb
    @SauravKumar-mp7xb 3 роки тому +1

    best explaination sir,great

  • @Ahmad-dk8uu
    @Ahmad-dk8uu 3 роки тому +1

    Tysm you saved my quiz

  • @vihangiiddamalgoda3948
    @vihangiiddamalgoda3948 4 роки тому +1

    Best explanation. Thanks.

  • @userozancinci
    @userozancinci 3 роки тому +1

    so nice and clean

  • @QXY01
    @QXY01 6 років тому +1

    so is the number two on the second row a pivot or what is it? Im talking about the near end of reduce echelon form.

  • @argon-rise
    @argon-rise 5 років тому

    Best best explanation , Clear one

  • @aamoddixit2441
    @aamoddixit2441 7 років тому +1

    superb explanation

  • @fridge8416
    @fridge8416 5 років тому +1

    Such a great explanation!

  • @DhananjaySingh-ff2zg
    @DhananjaySingh-ff2zg 4 роки тому +1

    Can we just divide 2 and 3 from 1st n 2nd row respectively directly..i mean wouldn’t we take 1/6 outside the matrix?

  • @AMOATIFA
    @AMOATIFA 5 років тому

    Very good explanation.. others were just confusing.

  • @abhishekjayesh3517
    @abhishekjayesh3517 7 років тому +1

    this man is blessed

  • @Maggio97
    @Maggio97 4 роки тому +1

    What do you do if the numbers are not easy multiplied or divisible ?

  • @qaiseriqbal2696
    @qaiseriqbal2696 6 років тому +1

    Thank You so much ...this help me a lot Sir .

  • @jakobkall
    @jakobkall 4 роки тому +1

    It is in rref, but there is no solution to the system, because of the third row right? 0=1, which is false

  • @retrorinto929
    @retrorinto929 5 років тому +1

    a doubt sir could u write on the right side while making rref what u r doing (example r1_r2)

  • @sepehremami9893
    @sepehremami9893 4 роки тому

    thank you man...it was PERFECT

  • @aqibshah9234
    @aqibshah9234 5 років тому

    Excellent teaching method

  • @Generatorman59
    @Generatorman59 7 років тому +9

    So, the final system of equations is: x + 4z = 0, y + 2z = 0, and 0 = 1. You don't see a problem with 0 = 1? What am I missing?

    • @madhupramod
      @madhupramod 7 років тому +1

      The last column of the matrix is not right side of the equation. It's part of the equation with 4 variables (or dimensions) So we can have w + 4y = 0, x + 2y = 0 and z =0 and 0 = 0

    • @darthJ9
      @darthJ9 6 років тому

      Generatorman59 how are you even generating a system of equations here? A is just a matrix it’s not equal to anything in the form AX=B for you to assume variables x y z w and equate it to a solution matrix

    • @emmachang4807
      @emmachang4807 5 років тому

      same here!!!! this would have no solutions?

    • @julias5782
      @julias5782 5 років тому

      this goes into classifying if the matrix/system is inconsistent or consistent. It a clue, towards earlier definitions and properties associated with the behaviors of systems

    • @graju2000
      @graju2000 5 років тому +1

      How do you say that this is an augmented matrix? only if it is an augmented matrix we can get any physical meaning out of it right..? Also if at all it were an augmented matrix the system doesnt have a solution

  • @Techjai000
    @Techjai000 4 роки тому

    on interchanging rows a change in sign convention occurs you didnt mentioned it

  • @justwasuploaded
    @justwasuploaded 4 роки тому

    Thank you for your explanation sir!!

  • @micah2501
    @micah2501 4 роки тому

    What a hero. Thank you!!!!!

  • @pratikbansal867
    @pratikbansal867 4 роки тому +1

    Can echelin form be used in 3*3 matrix ?

  • @spencerkaup2850
    @spencerkaup2850 5 років тому

    Great video, helped me out a lot

  • @saharacarecenter2585
    @saharacarecenter2585 4 роки тому

    video cleared me. thank you

  • @jananisreeganesh
    @jananisreeganesh 6 років тому +1

    Could we also say that rank of this matrix is 3?

  • @MohammedHussain-wu8gc
    @MohammedHussain-wu8gc 4 роки тому +1

    im here because my professor uploaded powerpoints and reads over the problems instead of doing any of the work. #2020onlineclasses

  • @alijavdani292
    @alijavdani292 6 років тому +3

    as far as I can see, in the 3:30 there is a mistake,
    the row should have been (0,5,6,10) , and this changes everything.

  • @kdipapa7521
    @kdipapa7521 4 роки тому

    Sir while adding 1st and 3rd row ,how does the 3 in the 2nd row gone

  • @larissacollins9797
    @larissacollins9797 3 роки тому +1

    thanks king!

  • @markjacinthtadle7714
    @markjacinthtadle7714 3 роки тому +1

    Why can't my professor explain this as simple as this

  • @danieldey
    @danieldey 5 років тому

    That was very helpful. Thank you

  • @NehaGupta-nz4ol
    @NehaGupta-nz4ol 5 років тому

    Nice explanation ..

  • @rivayadav5805
    @rivayadav5805 3 роки тому +2

    Thanku.. Sir ☺☺

  • @QXY01
    @QXY01 6 років тому

    thanks for impartial explanations

  • @faheemullah5574
    @faheemullah5574 8 років тому +7

    thank u sir

  • @sushilgyawali787
    @sushilgyawali787 4 роки тому +1

    thank you sir.

  • @ganeshavula7722
    @ganeshavula7722 8 років тому +1

    i dont undertsand how you used subtraction because it isn't one of the three matrix operations?

    • @lorenzosadun565
      @lorenzosadun565  8 років тому +23

      Sure it is. You're allowed to add a multiple of one row to another. Subtracting B from A is just adding (-1) times B to A.

    • @ganeshavula7722
      @ganeshavula7722 8 років тому

      it works for the first row column(-2+2=0) but then (-10)+4=-6 not 6?....and (-7)-(-2)=-5

  • @ambikaponsuyambu5934
    @ambikaponsuyambu5934 5 років тому

    Nice explanation

  • @zulfaqaradli5826
    @zulfaqaradli5826 3 роки тому +2

    boek dokk✊🏻

  • @Lakshybanking78
    @Lakshybanking78 6 років тому

    Perfect explaintion

  • @chunsheng4578
    @chunsheng4578 6 років тому

    hi does the pivots in RREF must be 1??

  • @hoomanjafari4633
    @hoomanjafari4633 6 років тому

    Thanks...nice work

  • @firstpenguin5653
    @firstpenguin5653 5 років тому

    Thx u made my day

  • @astleaugustin7748
    @astleaugustin7748 4 роки тому +1

    Owsm

  • @tobiasit2190
    @tobiasit2190 6 років тому

    that was beautiful

  • @robsonmapfuyanzara5530
    @robsonmapfuyanzara5530 6 років тому

    Much appreciation

  • @Pav-itr
    @Pav-itr 6 років тому

    Thnx man for helping out

  • @purnachander1563
    @purnachander1563 5 років тому

    1000
    0100
    0010
    0001 sir it should be in this form
    But in the 3rd row it is 0001
    Can we do this

  • @lalaland8602
    @lalaland8602 5 років тому

    Thank you SO MUCH

  • @Hiraofficial_
    @Hiraofficial_ 7 років тому +3

    thank you....

  • @Khu6ai6
    @Khu6ai6 6 років тому

    Thank You!

  • @muhammadluqmanal-hakim876
    @muhammadluqmanal-hakim876 4 роки тому

    What's pivots

  • @tessema8470
    @tessema8470 5 років тому

    shouldn't we have a leading 1

  • @ajithshetty9889
    @ajithshetty9889 5 років тому

    Sir thought well

  • @Engr.Duceysane
    @Engr.Duceysane 6 років тому +1

    thanks bro

  • @YoganBarrientos
    @YoganBarrientos 5 років тому

    Thank you

  • @eda7210
    @eda7210 5 років тому

    Thank you sir

  • @chetanreddy106
    @chetanreddy106 5 років тому

    Lovely...!!!!!

  • @priyankashah8242
    @priyankashah8242 5 років тому

    it would had been better if the voice gets louder

  • @dr.anishrituraj558
    @dr.anishrituraj558 6 років тому

    Thankyou💐

  • @archismanchakraborty8228
    @archismanchakraborty8228 5 років тому +1

    First non matrix must be 1

  • @muddassirnazar9275
    @muddassirnazar9275 6 років тому

    Wow superb explanation... listened to khan academy video... absolute shit...but ur explanation is better than khan academy

  • @michaelkievits7073
    @michaelkievits7073 6 років тому +2

    your last row is incorrect, it should be 1 - (-4) = 5

  • @mirandoo300
    @mirandoo300 4 роки тому

    22.05.2020

  • @Ds7nike
    @Ds7nike 5 років тому

    POP

  • @mannyjacobo8499
    @mannyjacobo8499 3 роки тому +1

    pop

  • @nurilyana5747
    @nurilyana5747 5 років тому

    Dont understand

  • @prachisikarwar3567
    @prachisikarwar3567 6 років тому

    Hindi bol lo toh hame bhi samajh aa jai

  • @mycousins896
    @mycousins896 6 років тому

    you are wrong. In REF the first pivots should always be ones. Below should be zeroes and above you dont care which number there is

  • @abhirambulusu4405
    @abhirambulusu4405 3 роки тому +1

    Thank you!

  • @nimnanilwala5245
    @nimnanilwala5245 4 роки тому

    Thank you sir