Inverse Matrix Using Gauss-Jordan / Row Reduction , Example 2

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  • Опубліковано 23 січ 2025

КОМЕНТАРІ • 174

  • @patrickjmt
    @patrickjmt  4 місяці тому +2

    Hi all! Please post comments, questions and anything else on your mind in the comment section! Also, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly :)

  • @johnmagers2925
    @johnmagers2925 11 років тому +58

    ABSOLUTELY AMAZING. Making studying at midnight for an 8 am test not so horrible! Thanks so much

  • @Julieepieee
    @Julieepieee 11 років тому +5

    If only I had found this 3 weeks ago. Gained so much w/n the first few minutes of this video than in a 50 minute lecture. Now I just may pass my exam tomorrow after all!! Thank you sooooo much!!

  • @tkhampa
    @tkhampa 10 років тому +74

    0:38 sec . you sacred the hell out of me patrick .. :D
    but the topic is well learned at the end of the day (y)

    • @urria8650
      @urria8650 8 років тому +1

      same here I litteraly leaped from my chair lol

    • @benjaminmiinch8641
      @benjaminmiinch8641 7 років тому +2

      I was playing this video thru my guitar amp (how I listen to music). Needless to say, I thought it broke my amp for a second!!! :')

  • @ImTyaSwin2013
    @ImTyaSwin2013 9 років тому +21

    seriously they way u teach is totally awesome, im in love with your videos . :-) :-) :-) :-) :-) :-)

  • @walterspencer7524
    @walterspencer7524 8 років тому +1

    You deserve a subscription due to the detail steps of each problem you solve

  • @Joe93ellis
    @Joe93ellis 12 років тому +3

    I kind of love you. I just started Linear Algebra and this is so freaking helpful.

  • @AluCarDv8
    @AluCarDv8 11 років тому +20

    God bless you Patrick. You are the best.

  • @rwaheruolive3173
    @rwaheruolive3173 9 років тому +1

    u are the best...your tutorials made me got 100% on my integration test...YOU ARE THE BEST. ..

  • @oprabin
    @oprabin 8 років тому +40

    give this man a medal!

  • @adriandelola5158
    @adriandelola5158 11 років тому

    Superb! been watching your videos since 1st year of college ! better than my teacher

  • @patrickjmt
    @patrickjmt  12 років тому +5

    all of the above, for sure. super duper useful stuff

  • @TotolikaJones
    @TotolikaJones 10 років тому +5

    Bro you deserve a shrine! Thank you so much this video helped a lot.

  • @priscusemmanuel8403
    @priscusemmanuel8403 3 роки тому

    thank you so much for this, I am doing this stochastic processes class and got to the Markov chains, the book is using a great deal of this material, I can't thank you enough.

  • @jingyiwang5113
    @jingyiwang5113 2 роки тому

    You explain this method really clearly. I am really grateful for your explanation!

  • @FaisalAlhathal
    @FaisalAlhathal 11 років тому

    Patrick a BIG THANK YOU to you. You are my favorite math teacher.

  • @alxjones
    @alxjones 12 років тому +1

    Keep the linear algebra stuff coming! I don't have the class available at my school but I've been reading some books, and your videos would really help a lot!

  • @SSTriplePilipinas
    @SSTriplePilipinas 11 років тому

    Just wanted to drop by and say thanks.
    Thanks! :)
    And your tutorials are super helpful.

  • @LeNguyen-im8dm
    @LeNguyen-im8dm 9 років тому

    You are great. The way you teach very professional

  • @MichaelAllen14
    @MichaelAllen14 10 років тому +1

    Thanks a lot for uploading this video. You helped me to prepare myself for a test.

  • @chemicalBEES369
    @chemicalBEES369 10 років тому

    You approached this really well, Patrick! I like the method you use.

  • @LincyMcGabby
    @LincyMcGabby 9 років тому

    Awesome!!! U really make sure we understand each and every concept that u teach. Excellent. Thank u so much...

  • @patrickjmt
    @patrickjmt  12 років тому +3

    i will try my best :)

  • @TheArnoldification
    @TheArnoldification 9 років тому

    Easy concept, just a massive pain in the ass to compute matrices by hand (especially inverses). Either way, nice video - organization and showing all your steps for problems like these is extremely helpful for those learning the material.

  • @nokuthulatreasurer805
    @nokuthulatreasurer805 8 років тому

    You make my life so easy, You are the best. Thank you!

  • @shearlanaprimus-smith.4449
    @shearlanaprimus-smith.4449 12 років тому +1

    i am sooo happy i found this vids thanks alot

  • @LtSeth242
    @LtSeth242 12 років тому

    this is totally helping me in my linear algebra class. thanks!

  • @dracoit123
    @dracoit123 11 років тому

    Thanks so much, your videos are the best and just swing it once it is always easy to recall it. Good job!

  • @moctezuma696
    @moctezuma696 12 років тому

    Thanks for that lucid explanation. Succinct and to the point.

  • @jasonbrody5234
    @jasonbrody5234 11 років тому

    ahhh this video helps me understand this so much better, thanks dude

  • @ARNAKLDO
    @ARNAKLDO 5 років тому

    Thanks a lot, Patrick!
    Now I understand this process better. Who the heck would want to find the inverse multiplying all the elementary/elimination matrices? Doing that feels like a death sentence. Finding L--the inverse of E for A = LU--was the same as undergoing that sentence!!

  • @metalheadlass
    @metalheadlass 11 років тому +8

    I really owe my engineering degree to you. Thanks a bunch :)

  • @kaushikkarmakar4582
    @kaushikkarmakar4582 3 роки тому +1

    It's totally crystal clear to me,,,,, Thankyou

  • @shreyajahagirdar8518
    @shreyajahagirdar8518 10 років тому +5

    Hey Patrick. I like the way that you approach this problem with putting in the values of 1 then simplifying the surroundings. Could this also be used for complicated problems as well and does it always work? Also, is there a certain formula that can be used to find the inverse matrix of a 3x3?

  • @ada-ada--
    @ada-ada-- Рік тому

    Thank you so much. I took Math 1 at Uni and my teacher is just bad at teaching. Ofc my exam is tomorrow 😅 wish me luck y'all.

  • @billthemaxster
    @billthemaxster 11 років тому

    Thanks, really helped me figure out this stuff, no thanks to my lecturer's abstract notes...

  • @Jomon
    @Jomon 9 років тому +6

    At 4:33, why didn't you just R2 - 2*R3 = R2?
    That looks much easier to me, but I want to confirm that it wont violate any rules.

    • @edrustalkers
      @edrustalkers 9 років тому +2

      +Jomon well, that can be done too! and after that you just need to multiply the second row with -1

    • @paqliam
      @paqliam 9 років тому

      +Jomon Lol yes, thats what I did, much easier, no rules violated

    • @MrSarimjavaid
      @MrSarimjavaid 8 років тому

      Yeah I thought the same thing

  • @احمدعبدالرحمن-ث7ض8و
    @احمدعبدالرحمن-ث7ض8و 7 років тому +1

    What an amazing explanation, thanks

  • @MegaSweetPumpkin
    @MegaSweetPumpkin 8 років тому +5

    facing this matrix for final tomorrow thanks!

  • @MallyGx
    @MallyGx 11 років тому

    We do inverse 3x3 matrices in my FP2 unit and this method rocks compared to the mess of the method we're taught!

  • @vortex000131
    @vortex000131 11 років тому

    Thanks. Just the refresher I needed.

  • @anguspatch
    @anguspatch 11 років тому

    thanks so much i watch your videos and have a much better understanding you're awesome!!

  • @iiRule11
    @iiRule11 10 років тому

    you are actually the best!!!!!!!!!!

  • @Muziek4Ever
    @Muziek4Ever 12 років тому

    I was just wondering, instead of getting those fractions, isn't it possible to replace that step (the one that gave you the fractions) by -2 x R3 + R2 -> R2, which gives (0 , -1, 0 | 1 , 2 , -2 ) for row 2? And then do -1x R2 -> R2?

  • @dragonore2009
    @dragonore2009 7 років тому

    This is the method our instructor used to show to get the inverse. I do prefer the other way you shown.

  • @soumyadas9939
    @soumyadas9939 6 років тому

    At 04:25 rather than taking fraction, you could have done "2R3-R2=R2" for making the "7 of row-2 & column-2=1". Thank you.

  • @sarahw937
    @sarahw937 10 років тому +2

    Why do you have to multiply 3/7 by row 3. Could we not just do 3/7+Row1 since row 3 is 1 anyways? Is there a reason that we have to mutiply by row3 before we add row 1? I guess I just figured that we would come out with the same result either way.

    • @heeyanabanana
      @heeyanabanana 9 років тому

      Sarah Buescher I think it's because if you just did 3/7 + R1, you'd have to add 3/7 to all of R1 meaning you would change the 1 that you already have on the top left to 10/7, and the 0 in the first row second column to 3/7

  • @airacobra24
    @airacobra24 12 років тому

    In a 3x3 matrice and R1 begins with a negative number; do you convert that number to a positive one first?

  • @matthewluna1209
    @matthewluna1209 4 роки тому

    Good day, is the Gauss-Jordan method in finding the inverse of a matrix is applicable if you have an n x n matrix? What I mean is if you have a 4 x 4 or even higher dimensions of matrix?

  • @lisettceli7037
    @lisettceli7037 5 років тому

    THANK U SO MUCH!!!!!!! i have been watched a lot a videos how to do it method, but i didn´t catch it. So i saw this video and i was... (wtf?, that is so easy)... So... thanks again.... You have another subscriber :´)

  • @THE16THPHANTOM
    @THE16THPHANTOM 12 років тому

    a while back in i learned that there is a way to determine if a matrix has an inverse...will that be covered too?
    i kind of forgot how to do it.
    also can you give a real world example doesn't have to be complicated, just good enough to give the brain a reason to remember matrices.
    thank you.

  • @SageBaka
    @SageBaka 11 років тому

    Can we multiply the row that is changing instead of the row that is unchanged?

  • @mattgriffey5009
    @mattgriffey5009 10 років тому

    Can this be used on all matrices or do you have to start off differently?

  • @ylvaeriksson5761
    @ylvaeriksson5761 6 років тому

    Thank you very much! :) Very nice explained.

  • @somyagoyal6050
    @somyagoyal6050 9 років тому

    thanks u r really a true genius

  • @mohdashroff8456
    @mohdashroff8456 7 років тому

    I thought this one is elementary row operation? Or is it just the same as Gauss-Jordan method?

  • @uswatun97
    @uswatun97 7 років тому

    Thank you so much, this is helped me a lot.

  • @spaul989
    @spaul989 2 роки тому +1

    I think I can solve this type of problems in my upcomming exam in 3 hours

  • @chrislam1341
    @chrislam1341 11 років тому

    how about if i m not going to swap row 1 and 2, can i still got the same answer?

  • @Yamnkelaniyonela
    @Yamnkelaniyonela 10 років тому +1

    You make wanna do maths everyday :) impressive

  • @assemqasim7258
    @assemqasim7258 8 років тому +2

    Nice explanation, thanks alot :)

  • @orbayarkol6005
    @orbayarkol6005 12 років тому

    What if u do r2-r1 ? it gives u your new r1 or r2 ?

  • @azwanaahmad7964
    @azwanaahmad7964 11 років тому

    Thank You So much!!! Awesome teacher

  • @valenciav2587
    @valenciav2587 8 років тому +1

    thankyou so much! this really help me

  • @deepakmatla3356
    @deepakmatla3356 6 років тому

    if i approach the calculations by different row operations and the answer comes different is it normal? :3

  • @anikoustos2
    @anikoustos2 11 років тому

    how do you find out if the matrix has an inverse ?

  • @ehsanullahnazari609
    @ehsanullahnazari609 8 років тому +1

    bundle Thanks sir it was very helpful

  • @hayamramadan3610
    @hayamramadan3610 6 років тому

    I love u😭 u r a heroo😭

  • @aksharareddy7984
    @aksharareddy7984 6 років тому

    thanks alot patrick!!

  • @SuperBoredPanda
    @SuperBoredPanda 11 років тому

    Thanks for the explanation... Nice and Simple... :)

  • @shahinkohzadpour
    @shahinkohzadpour 7 місяців тому

    It was great !
    thanks for sharing.

  • @Louwhay
    @Louwhay 11 років тому

    how to find inverse of a 2x3 matrix?

  • @BYMYSYD
    @BYMYSYD 12 років тому

    Can we see some videos on introduction to Differential Geometry?

  • @roseanneqiu57
    @roseanneqiu57 3 роки тому

    very good and clear , thanks

  • @ammaraleem9213
    @ammaraleem9213 3 роки тому

    Thank you so much, Sir...!

  • @shishiscott111
    @shishiscott111 11 років тому

    thanks man
    patrick

  • @prceXtu
    @prceXtu 11 років тому

    my teacher was used inverse of matrix. and then find inverse of matrix. when after we find inverse of matrix how can we find roots

  • @ShoeAlmighty
    @ShoeAlmighty 8 років тому

    why did you use an example with fractions in an instructional video?

  • @sabbirahmedsakib7526
    @sabbirahmedsakib7526 3 роки тому

    Thanks for the video.. I understood the method from here. But one thing, I could solve it without using any fractional value.. the calculation is less cumbersome that way.

    • @patrickjmt
      @patrickjmt  3 роки тому

      yep, there are many ways to solve these

  • @omarmario5333
    @omarmario5333 11 років тому

    You should be my teacher :) good job (y)

  • @vijayankv60
    @vijayankv60 11 років тому

    any way a hell lotta thanks to you buddy

  • @c4talin94
    @c4talin94 11 років тому

    You're the best.

  • @finoman100
    @finoman100 8 років тому

    This was great, thanks for the explanations.....I hated Pre-Cal until now,..now I just don't like it...lol

  • @juillotine
    @juillotine 3 роки тому

    no you da real mvp

  • @mohammedabdulla5814
    @mohammedabdulla5814 11 років тому

    Thank you. it was helpful

  • @theundertaker9387
    @theundertaker9387 8 місяців тому

    fucking legend man, still helpful in 2024

  • @rehawi2001
    @rehawi2001 11 років тому

    great effort, it's appreciated :)

  • @mugdha_studyabroad
    @mugdha_studyabroad 4 роки тому

    how to multiply by rhs vector

  • @McNishy
    @McNishy 11 років тому

    Thanks for this!

  • @MK-hm5gg
    @MK-hm5gg 5 років тому

    thank you for your help but why are you left hadned

  • @adamjoyce8764
    @adamjoyce8764 6 років тому

    Why would you ever want to do this by hand?

  • @nirmalrv8
    @nirmalrv8 8 років тому

    helped a lot !!

  • @The305Tech
    @The305Tech 7 років тому

    Thanks Bro! really appreciate it :D :)

  • @PearyHwangHT
    @PearyHwangHT 10 років тому +1

    Thank you!!

  • @chriswilliams5291
    @chriswilliams5291 2 роки тому

    I don't understand the purpose of this method when finding the cofactor and determinant is a much easier way to find the inverse.

  • @jueali665
    @jueali665 9 років тому

    hai, can u teach me how to solve when the matrix have unkwon eg [1 2 -1 3]... please
    [2 -1 k 1]
    [-1 1 4 0]

  • @kostas172
    @kostas172 6 років тому

    THANK YOU!

  • @fisheatbrocoli3696
    @fisheatbrocoli3696 4 роки тому

    Can i know what is his true job?

  • @Armand0008
    @Armand0008 12 років тому

    Thanks again!

  • @harshpatel6318
    @harshpatel6318 10 років тому

    Thanks Buddy.