Gaussian Elimination and Gauss Jordan Elimination (Gauss Elimination Method)

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  • Опубликовано: 19 дек 2024

Комментарии • 370

  • @Crazytime101PlayzGames
    @Crazytime101PlayzGames 4 года назад +43

    Imagine struggling so much with something and spending hours trying to comprehend its existence just to find this dudes video and finish them in 20-30min with a complete understanding of what you did. Thank you sir.

  • @majinDuu
    @majinDuu 6 лет назад +266

    For the entire semester I couldn't understand this and you taught me it in 15 mins. Damn. I feel blessed to have come across this video

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +19

      Very glad I could help! Have a wonderful day.

    • @yesufhassen7422
      @yesufhassen7422 4 года назад +2

      @@BriTheMathGuy I was struggling the whole week, and thank you very much for your clear explanation it's absolutely clear now.
      What about if I leave 2 as a coefficient at 5:39 and eliminate 3 to make 0 the underneath? Should the coefficient always be 1?

    • @monit8663
      @monit8663 4 года назад

      Same ditto

    • @tareeb225
      @tareeb225 3 года назад

      Same here

    • @xeno9035
      @xeno9035 Год назад

      which semester were you in, is this in a cs course

  • @DwayneWayneWayne
    @DwayneWayneWayne 6 лет назад +125

    The best video I've watched explaining both methods. Thank you!

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +6

      You're very welcome! Have a great day.

  • @bigbro_songz
    @bigbro_songz 4 года назад +38

    Man, you broke this down like you invented it!! Thanks for putting the two together in a single video! Excellent Video

  • @charlesmaziriri1677
    @charlesmaziriri1677 6 лет назад +187

    You tube is basically the go to lecturer when it’s the day before the exam 🤷🏾‍♂️

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +13

      Hope I could help you out!

    • @nimrakhan2523
      @nimrakhan2523 2 года назад +2

      So fuckin relatable comment bcz my exams are from Monday and today is Sunday 🤣🤣🤣🥲🥲🥺

    • @hi.2698
      @hi.2698 2 года назад +1

      My algebra eoc is on Thursday an td is Wednesday... *and its 11: 50!*

    • @taekookie3631
      @taekookie3631 2 года назад

      My math exam is next Wednesday and here I am 😭

    • @michaelaristidou2605
      @michaelaristidou2605 2 года назад

      That's why most of you make a mess in Tests.

  • @MrBuckethead911
    @MrBuckethead911 5 лет назад +31

    RUclips needs to introduce the "Love" reactions just like Facebook because this video deserves way more than just a like

  • @98tutorialguy
    @98tutorialguy 6 лет назад +58

    Thanks for pointing out the difference between them, the names initially confused me so I thought they were the same thing.

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +1

      You're welcome!

    • @jackoneill348
      @jackoneill348 2 года назад

      Well, I came to this video to find the difference between these two algorithms and I must say I did *not* obtain the answer. What is presented in the video are not two different algorithms, but two viewpoints on the same algorithm. You are doing literally the same computations. I think (although I am not sure, I am still looking for some reliable reference) that the point is that you are *never* supposed to normalized the rows. Then it actually becomes different, because in case of Gauss you do the divisions during the back substitution, while with Gauss-Jordan, you do them at the very end. Due to this difference, Gauss uses less operations, while Gauss-Jordan is maybe more numerically stable.

  • @dani-ou4uu
    @dani-ou4uu Год назад +1

    after watching countless videos, this was the one that finally made me understand. thank you!

  • @jwoodsonmusic
    @jwoodsonmusic 4 года назад +5

    Thank you so much! I watched my teacher's one hour lecture on the three times, and it didn't even get me to a quarter of the understanding this video did! You're literally a lifesaver.

  • @LordMonteq
    @LordMonteq 3 года назад +10

    here in 2021...when trying to make the 2 in the y column a 1, you can also subtract R3-R2 and this should save you time and not give you any fractions.

  • @aarontyler6599
    @aarontyler6599 2 года назад +1

    i have watched so many vids on this. this is the single most succinct video EVER. thanks

  • @muhammadhuzaifa4227
    @muhammadhuzaifa4227 Год назад

    I was struggling my whole semester to understand this but idky for some reason i couldn't but under 15 minutes of this video . My all concepts are clear. You're the besttttt

  • @paolad5905
    @paolad5905 4 года назад +2

    I went to RUclips since school is now online and I can clearly say you did a great job of teaching this 100/10

  • @twilydkm9403
    @twilydkm9403 3 года назад

    ill be having midterm this morning and you taught everything i need 15mins. thank you for saving my life.

  • @ryanjose4397
    @ryanjose4397 4 года назад +6

    simply explained, simply understood. Thank you!

    • @BriTheMathGuy
      @BriTheMathGuy  4 года назад +1

      Glad to hear it, have a great day!

  • @arimartua6433
    @arimartua6433 5 лет назад

    This Is My Main Topic In The Class Today , but I Can't Fully Understand What My Lecturer Explain , The Class Last For 4 Hours And Yet I'm Out From My Class Without Fully Understand What He Explain Today
    But Luckily I'm , FInale Found This Video Today And I Can Fully Understand This Matery
    Big Love From ME , ARI MARTUA
    Indonesia
    Thank You So Much

  • @ExceptMeFromEverywhe
    @ExceptMeFromEverywhe 6 лет назад +2

    I watched several videos trying to understand this method, your video explained it so well it made it all click on the first watch. Thank you!

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +1

      Thanks very much, I'm very glad to hear it helped you out. Have a wonderful day!

  • @SI-rz4ic
    @SI-rz4ic 5 лет назад

    I have an exam tomorrow and I did not understand this entire unit when I was "taught" by my professor, I thought I was just dumb but I guess I just have a bad professor who can't take the time to actually teach his students the material. You taught me more in this 15 minute video than my professor ever taught in a 65 minute lecture. thanks, I think I will be ok after all.

  • @HDitzzDH
    @HDitzzDH 5 лет назад +7

    It was completely impossible for me to understand the two methods through the textbook, however this video made me understand it perfectly.

  • @NiteSeek
    @NiteSeek 6 лет назад +1

    wow thank you for this video it was a massive help. Most ppl skip over the reasons and explanation of what is going on but the way you demonstrated is awesome. Its simple and easy to follow. Now time to make life easy and make a program to do this for me

  • @raghavrajpal5575
    @raghavrajpal5575 3 года назад +1

    Gone through all videos, the best one i’ve come across. Thank you so much!
    Literally made me understand the concept in 15 min after spending so much time learning this!

  • @voqualicious
    @voqualicious 5 лет назад +5

    Thank you so much I have a midterm next week and you’re saving my life!!

    • @BriTheMathGuy
      @BriTheMathGuy  5 лет назад +2

      Really glad to hear it. Best of luck!

  • @plectro3332
    @plectro3332 5 лет назад +9

    This is a great video! Very well explained, easy to understand, easy to follow. Good job

  • @darkacademiax_
    @darkacademiax_ 2 года назад

    god bless you man, I got a final in 2 hours and I couldn't get this.

  • @phoebecena3903
    @phoebecena3903 4 года назад +2

    I'm so lucky to see this vid! Thank you! You really help me alot! I don't really get what was written my module and you just explain in just a couple of minutes! Thank you!!!

  • @srujantelugugaming1010
    @srujantelugugaming1010 Год назад

    thanks bro i have wasted 2 monts without understanding it u make me to understand it in 15 min enough tq bro

  • @haojiang4882
    @haojiang4882 6 лет назад +4

    Your explanation is pretty easy to understand. Way better than MIT's linear algebra course! Thank you.

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +3

      Thank you very much!

    • @shounnabaasa5159
      @shounnabaasa5159 Год назад

      I really want to do civil
      Engineering from a good university i wish you could help
      Me

  • @tannerbarcelos6880
    @tannerbarcelos6880 4 года назад +6

    Linear Algebra exam tomorrow... this is gonna be a big portion of it. This cleared a lot up. Both methods yield the same result, however more computations need to be made for GJ, and as a CS major, we take this into account in my course so that is the downside but GJ makes a lot more sense to me. I was confused but you cleared it up big time. Thank you!

  • @abdinasserahm
    @abdinasserahm 5 лет назад

    I could not understand this in class. I suffered a lot. When I watched this video, all my confusion is solved. I am so indebted for your help. Thank you.

  • @Ahmed_96275
    @Ahmed_96275 4 года назад +2

    He made it look so easy ! Wish my teacher was as good

    • @BriTheMathGuy
      @BriTheMathGuy  4 года назад +2

      Glad to help ya out. Have a nice day!

  • @tanatswamutanga1480
    @tanatswamutanga1480 4 года назад

    I can call you best tutor of this topic during my time

  • @amandasnyder5424
    @amandasnyder5424 5 лет назад +1

    This is the most helpful video I have watched in the past 6 hours, THANK YOU!

  • @MereDaddyJi
    @MereDaddyJi 6 лет назад +1

    I am from India, but I love RUclips that it sujjest me to see your video on the particular topic.... And it's awesome explanation

  • @Soaayy
    @Soaayy 6 лет назад +2

    Super clear!! you absolute legend mate! Got an Aerospace eng exam tomorrow which I need to know this.

  • @hadeerrashad5486
    @hadeerrashad5486 4 года назад +1

    Your explanations are EXCELLENT and CLEAR!! Thank you sooooooo much for posting this video!

  • @aytanhamidli9659
    @aytanhamidli9659 3 года назад

    excellent video, 15 minutes enough to understand lesson / It is better than face to face lesson

  • @andyrobaina1805
    @andyrobaina1805 2 года назад +1

    I was struggling with this and you explained it perfectly. Thanks man.

  • @theinfestedterran777
    @theinfestedterran777 5 лет назад +3

    This is a a really well done video. Perfectly explained!

  • @sherya.7067
    @sherya.7067 4 года назад

    Math is easy when the teacher is a good one. Thanks BriTheMathGuy, you've done a great job.

  • @mah_nizzle161
    @mah_nizzle161 6 лет назад

    thank you sire..my teacher got me confused explaining it with pivot points & stuffs..but this really clears the basic out..thanks again

  • @darkange911
    @darkange911 6 лет назад +5

    the man, the myth, the legend

  • @Rayer24
    @Rayer24 5 лет назад +1

    I was close to studying everything we saw in class this semester and I just didn't get how to solve these. Your video did wonders! Thanks!

  • @omkathe3599
    @omkathe3599 5 лет назад +2

    It helped me in my machine learning course... Thanks mate!

  • @ingamTheModel
    @ingamTheModel 5 лет назад +2

    Thank you so much, I've been struggling with this for a very long time.

    • @BriTheMathGuy
      @BriTheMathGuy  5 лет назад

      I'm glad it could help you out. Have a nice day!

  • @kilodekilode3992
    @kilodekilode3992 2 года назад

    Thank you for explaining the concept in such short timing, it helped a lot.

  • @kylecomisio8209
    @kylecomisio8209 3 года назад

    i completely understood this even though i haven't even heard of gaussian method until 5 mins ago before my techer sent this link

  • @loverboy1760
    @loverboy1760 6 лет назад +3

    You explained it very well sir. More power to you!
    GOD BLESS!!!😊

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +1

      Thank you very much! Have a great day!

  • @faisahassan9549
    @faisahassan9549 4 года назад +1

    You deserve an award 🥇

  • @Christian_vd_Laan
    @Christian_vd_Laan 6 лет назад +2

    great video, now i start understanding the row operations a bit better !

  • @GODCOR
    @GODCOR 3 года назад +1

    BriTheMathGuy: 6:36, i'm not even gonna bother writing it.
    a few seconds later, 6:53, writes it. lol :D, love your videos

  • @julianabove6077
    @julianabove6077 4 года назад

    I have an exam tmr u just saved me thxxxx

  • @Mulkek
    @Mulkek 3 года назад +1

    Thanks, and explain so clearly!

  • @frondinahishidivali5352
    @frondinahishidivali5352 4 года назад +1

    Thank you a lot , this chapter was really killing me, but now you made me understand .GOd bless you.

    • @BriTheMathGuy
      @BriTheMathGuy  4 года назад

      Very glad to help! Have a great day.

  • @BriTheMathGuy
    @BriTheMathGuy  6 лет назад +11

    I hope this helps you out!
    Check out my best derivative trick yet!
    ruclips.net/video/BjDsJUkDsY4/видео.html

  • @kelvintai8541
    @kelvintai8541 2 года назад

    Brilliant explanation!! Thanks!

  • @sequoyahharrison9863
    @sequoyahharrison9863 5 лет назад

    THANK YOU SO MUCH AND I APPRECIATE YOU!!!!! YOU ARE A LIFESAVER AND AN EXCELENT TEACHER!!!!! I THANK GOD FOR YOU!!!!

  • @yacmario1972
    @yacmario1972 5 лет назад +2

    Thanks so much for your video
    It helped a lot.!! 💖💖

  • @sarahcatania3374
    @sarahcatania3374 6 лет назад +2

    Thank you so much! This is explanation is super clear!

  • @strikingblazer760
    @strikingblazer760 3 года назад

    You are the only person I could understand this concept from. Thank you for saving my chapter test ❤

  • @theodoresweger4948
    @theodoresweger4948 5 лет назад +2

    Thank you it's about time I get this, finally.

  • @brotherbarry5169
    @brotherbarry5169 5 лет назад +1

    Thanks I actually understood after seeing your video 👍🏽

    • @BriTheMathGuy
      @BriTheMathGuy  5 лет назад

      Really glad to hear it! Thanks for watching and have a nice day.

  • @justinmark2775
    @justinmark2775 4 года назад

    The video I've Watched. Explaining both method and thanks for that...

  • @sharyanne1475
    @sharyanne1475 6 лет назад +6

    thanks a lot, by the way , can we use subtraction for elimination between R1 R2 R3? such as , R1-R2 , R2-R3, R1-R3...?

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +1

      Norris susan absolutely, that is essentially the same technique as presented in the video. Thanks for watching!

  • @helisbabi4947
    @helisbabi4947 3 года назад

    Thank you so much. It helps me to understand the topic, and I'm ready for the quiz later

  • @_Spread_Positivity_
    @_Spread_Positivity_ Год назад

    Brilliant Explanation

  • @adheelajaleel3238
    @adheelajaleel3238 3 года назад +1

    This is a life saver! Thank you ❤️

  • @martinamonsurro5564
    @martinamonsurro5564 2 года назад

    Thank you so much, that was very useful!

  • @YariAzQuran
    @YariAzQuran 3 года назад

    My Prof doesn't give you credit if you don't do the method he asks for so I was confused as to what the difference between the two is. Thanks so much for clarifying!

  • @chibuezestanley7847
    @chibuezestanley7847 3 года назад

    I'm happy I came across this video

  • @Judyyy2005
    @Judyyy2005 2 месяца назад

    If I kept thanking you for a year, I won't be done❤❤❤thanks for real

  • @TheAquaticBeef
    @TheAquaticBeef 6 лет назад +1

    Man, that's pretty cool! Maths is actually pretty cool! This is mind blowingly awesome to me. Why does this work?

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад +2

      I know right! This basically works because of basic algebraic operations work on equations, and the fact that adding(subtracting) equations is a valid thing to do. The main difference here is we are just doing a shorthand notation by using a matrix. Have a great day!

  • @iWinsomeLosesome
    @iWinsomeLosesome 6 лет назад +1

    this was the best explanation !!

  • @Motoplugg
    @Motoplugg 3 года назад

    even when knowing the steps these problems are impossible, this is an easy one. when you get the right answer on the first try they are easy but if not there is no way of even figuring out what you did wrong

  • @myieshadolley7188
    @myieshadolley7188 Год назад

    Thank you ! Very helpful !

  • @ariturbo4094
    @ariturbo4094 3 года назад

    Grear video sir!! Most appreciated

  • @johnyhawkahsan
    @johnyhawkahsan 6 лет назад +4

    Wowwww.
    Amazing!
    Thank you so much.

  • @lindoskosana720
    @lindoskosana720 2 года назад

    thank u brother this was so helpful

  • @chaitanyasingh1085
    @chaitanyasingh1085 6 лет назад +1

    Can we start forming zeroes in Gauss Jordan elimination from the second column, instead of the third column?

    • @BriTheMathGuy
      @BriTheMathGuy  6 лет назад

      I’m not sure I know exactly what you mean

    • @chaitanyasingh1085
      @chaitanyasingh1085 6 лет назад

      @@BriTheMathGuy Anyways, I don't need to know now, because I think I have resolved the issues in the program I was coding.
      Thanks a lot for your help!

  • @dannmitselyana4963
    @dannmitselyana4963 4 года назад +1

    Thank you so much Sir!

  • @nkurunzizaegide
    @nkurunzizaegide 4 года назад +1

    Amazing Video, Superb

  • @shawnruby7011
    @shawnruby7011 6 лет назад +5

    I subscribed from this video, thanks

  • @vanessadamian8357
    @vanessadamian8357 6 лет назад +2

    this was such a big help thanks

  • @naageshk1256
    @naageshk1256 2 года назад

    Great explanation 👌👌👍

  • @runabegum1143
    @runabegum1143 4 года назад +1

    Thank you, that's brilliant!

  • @elweewutroone
    @elweewutroone 2 года назад

    This is brilliant!

  • @Th3OneWhoWaits
    @Th3OneWhoWaits 5 месяцев назад

    On why it's called echelon form: echelon is French for staircase, and the non-zero entries look like an inverted staircase.

  • @adinandyala
    @adinandyala 4 года назад

    You're awesome at teaching!

  • @jameszulu5763
    @jameszulu5763 5 лет назад +1

    Thanks for making this video... I finally understand this concept🙂🙂🙂

    • @BriTheMathGuy
      @BriTheMathGuy  5 лет назад

      Really glad to hear it. Hope you have a very nice day!

  • @darcash1738
    @darcash1738 Год назад

    This video was among the upper echelon of videos about echelons

  • @allencardenas6887
    @allencardenas6887 5 лет назад +1

    Awesome video. Thank you

  • @chriscsikombe2180
    @chriscsikombe2180 2 года назад

    hahahah🤣🤣🤣 i wanted to crack the night now its done in 15minutes have to sleep🤸‍♂🤸‍♂🚶‍♂🚶‍♂

  • @محمدالعجيري-ر5م
    @محمدالعجيري-ر5م 3 года назад

    PERFECT!! thank you so much for sharing your explanation about the thing

  • @joshuaotieno9797
    @joshuaotieno9797 4 года назад +1

    impressive work i wonder why most lecturers make it seem so difficult

  • @tceterex
    @tceterex 6 лет назад

    best video linking gauss siedel with row echelon form

  • @hansisbrucker813
    @hansisbrucker813 4 месяца назад

    It finally clicked for me 😁
    Thank you ^^

  • @shubhendubanerjee2930
    @shubhendubanerjee2930 3 года назад

    Superb explanation!

  • @cooldj9900
    @cooldj9900 5 лет назад +1

    This video is really helpful

  • @ambil2660
    @ambil2660 11 месяцев назад

    Thank you for the video, it was incredibly helpful. For Gaussian Elimination, do you always need to have leading 1's in the diagonal? My instructor said that the numbers along the diagonal do not matter as long as whats underneath them are 0's. Is that true? Or is it better to stick with using 1's along the diagonal?

  • @graespargo3605
    @graespargo3605 5 лет назад +1

    this was really helpful. thanks

  • @kaushikmysore6608
    @kaushikmysore6608 5 лет назад +1

    In the Gauss-Jordan method, should the 1's always be from the top left corner to the bottom right corner or does it not matter?

    • @BriTheMathGuy
      @BriTheMathGuy  5 лет назад +1

      You could do it from top right to bottom left, but the method in this video is the standard (and probably most natural) way to do it. Thanks for watching!