Gaussian Elimination and Gauss Jordan Elimination (Gauss Elimination Method)

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  • เผยแพร่เมื่อ 28 ต.ค. 2024

ความคิดเห็น • 371

  • @Crazytime101PlayzGames
    @Crazytime101PlayzGames 4 ปีที่แล้ว +42

    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 ปีที่แล้ว +267

    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 ปีที่แล้ว +19

      Very glad I could help! Have a wonderful day.

    • @yesufhassen7422
      @yesufhassen7422 4 ปีที่แล้ว +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 3 ปีที่แล้ว

      Same ditto

    • @tareeb225
      @tareeb225 3 ปีที่แล้ว

      Same here

    • @xeno9035
      @xeno9035 ปีที่แล้ว

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

  • @DwayneWayneWayne
    @DwayneWayneWayne 6 ปีที่แล้ว +125

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

    • @BriTheMathGuy
      @BriTheMathGuy  6 ปีที่แล้ว +6

      You're very welcome! Have a great day.

  • @bigbro_songz
    @bigbro_songz 4 ปีที่แล้ว +38

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

  • @NoaLeighMaxwell
    @NoaLeighMaxwell 4 ปีที่แล้ว +9

    This video is a goddamned LIFE SAVER. I didn't even realize how little I'd understood the material (late registration catching up from home) and this made it make a TON more sense. THANK YOU!

    • @BriTheMathGuy
      @BriTheMathGuy  4 ปีที่แล้ว

      Really glad to hear it :) Have a great day!

  • @charlesmaziriri1677
    @charlesmaziriri1677 5 ปีที่แล้ว +187

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +13

      Hope I could help you out!

    • @nimrakhan2523
      @nimrakhan2523 2 ปีที่แล้ว +2

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

    • @hi.2698
      @hi.2698 2 ปีที่แล้ว +1

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

    • @taekookie3631
      @taekookie3631 2 ปีที่แล้ว

      My math exam is next Wednesday and here I am 😭

    • @michaelaristidou2605
      @michaelaristidou2605 2 ปีที่แล้ว

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

  • @MrBuckethead911
    @MrBuckethead911 5 ปีที่แล้ว +31

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +2

      Wow! Thank you very much. :)

  • @98tutorialguy
    @98tutorialguy 6 ปีที่แล้ว +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 ปีที่แล้ว +1

      You're welcome!

    • @jackoneill348
      @jackoneill348 2 ปีที่แล้ว

      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.

  • @jwoodsonmusic
    @jwoodsonmusic 4 ปีที่แล้ว +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.

  • @dani-ou4uu
    @dani-ou4uu ปีที่แล้ว +1

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

  • @aarontyler6599
    @aarontyler6599 2 ปีที่แล้ว +1

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

  • @BriTheMathGuy
    @BriTheMathGuy  6 ปีที่แล้ว +11

    I hope this helps you out!
    Check out my best derivative trick yet!
    th-cam.com/video/BjDsJUkDsY4/w-d-xo.html

  • @paolad5905
    @paolad5905 4 ปีที่แล้ว +2

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

  • @twilydkm9403
    @twilydkm9403 3 ปีที่แล้ว

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

  • @muhammadhuzaifa4227
    @muhammadhuzaifa4227 11 หลายเดือนก่อน

    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

  • @ExceptMeFromEverywhe
    @ExceptMeFromEverywhe 6 ปีที่แล้ว +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 ปีที่แล้ว +1

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

  • @HDitzzDH
    @HDitzzDH 5 ปีที่แล้ว +7

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +1

      Glad to hear it! Have a great day.

  • @ryanjose4397
    @ryanjose4397 4 ปีที่แล้ว +6

    simply explained, simply understood. Thank you!

    • @BriTheMathGuy
      @BriTheMathGuy  4 ปีที่แล้ว +1

      Glad to hear it, have a great day!

  • @voqualicious
    @voqualicious 5 ปีที่แล้ว +5

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +2

      Really glad to hear it. Best of luck!

  • @LordMonteq
    @LordMonteq 3 ปีที่แล้ว +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.

  • @plectro3332
    @plectro3332 5 ปีที่แล้ว +9

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +2

      Thanks very much, have a great day!

  • @haojiang4882
    @haojiang4882 6 ปีที่แล้ว +4

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

    • @BriTheMathGuy
      @BriTheMathGuy  6 ปีที่แล้ว +3

      Thank you very much!

    • @shounnabaasa5159
      @shounnabaasa5159 ปีที่แล้ว

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

  • @NiteSeek
    @NiteSeek 6 ปีที่แล้ว +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

    • @BriTheMathGuy
      @BriTheMathGuy  6 ปีที่แล้ว

      You're very welcome! Glad to help.

  • @raghavrajpal5575
    @raghavrajpal5575 3 ปีที่แล้ว +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!

  • @SI-rz4ic
    @SI-rz4ic 4 ปีที่แล้ว

    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.

  • @abdinasserahm
    @abdinasserahm 4 ปีที่แล้ว

    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.

  • @phoebecena3903
    @phoebecena3903 4 ปีที่แล้ว +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!!!

  • @amandasnyder5424
    @amandasnyder5424 5 ปีที่แล้ว +1

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

  • @Soaayy
    @Soaayy 6 ปีที่แล้ว +2

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

    • @BriTheMathGuy
      @BriTheMathGuy  6 ปีที่แล้ว +2

      Thanks!! Best of luck on your exam!

  • @Rayer24
    @Rayer24 4 ปีที่แล้ว +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!

  • @Ahmed_96275
    @Ahmed_96275 4 ปีที่แล้ว +2

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

    • @BriTheMathGuy
      @BriTheMathGuy  4 ปีที่แล้ว +2

      Glad to help ya out. Have a nice day!

  • @hadeerrashad5486
    @hadeerrashad5486 4 ปีที่แล้ว +1

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

  • @andyrobaina1805
    @andyrobaina1805 2 ปีที่แล้ว +1

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

  • @theinfestedterran777
    @theinfestedterran777 5 ปีที่แล้ว +3

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +1

      Thanks very much! Have a great day.

  • @kilodekilode3992
    @kilodekilode3992 2 ปีที่แล้ว

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

  • @srujantelugugaming1010
    @srujantelugugaming1010 ปีที่แล้ว

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

  • @tannerbarcelos6880
    @tannerbarcelos6880 4 ปีที่แล้ว +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!

  • @strikingblazer760
    @strikingblazer760 3 ปีที่แล้ว

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

  • @loverboy1760
    @loverboy1760 5 ปีที่แล้ว +3

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +1

      Thank you very much! Have a great day!

  • @tanatswamutanga1480
    @tanatswamutanga1480 3 ปีที่แล้ว

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

  • @mah_nizzle161
    @mah_nizzle161 6 ปีที่แล้ว

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

  • @ingamTheModel
    @ingamTheModel 5 ปีที่แล้ว +2

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว

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

  • @darkacademiax_
    @darkacademiax_ 2 ปีที่แล้ว

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

  • @arimartua6433
    @arimartua6433 5 ปีที่แล้ว

    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

  • @MereDaddyJi
    @MereDaddyJi 5 ปีที่แล้ว +1

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

  • @sherya.7067
    @sherya.7067 4 ปีที่แล้ว

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

  • @aytanhamidli9659
    @aytanhamidli9659 3 ปีที่แล้ว

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

  • @darkange911
    @darkange911 6 ปีที่แล้ว +5

    the man, the myth, the legend

  • @frondinahishidivali5352
    @frondinahishidivali5352 4 ปีที่แล้ว +1

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

    • @BriTheMathGuy
      @BriTheMathGuy  4 ปีที่แล้ว

      Very glad to help! Have a great day.

  • @omkathe3599
    @omkathe3599 5 ปีที่แล้ว +2

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +1

      Great to hear! Have a nice day!

  • @Mulkek
    @Mulkek 3 ปีที่แล้ว +1

    Thanks, and explain so clearly!

  • @faisahassan9549
    @faisahassan9549 4 ปีที่แล้ว +1

    You deserve an award 🥇

  • @Th3OneWhoWaits
    @Th3OneWhoWaits 3 หลายเดือนก่อน

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

  • @Christian_vd_Laan
    @Christian_vd_Laan 6 ปีที่แล้ว +2

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

    • @BriTheMathGuy
      @BriTheMathGuy  6 ปีที่แล้ว +1

      Glad to help, have a wonderful day!

  • @sequoyahharrison9863
    @sequoyahharrison9863 5 ปีที่แล้ว

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

  • @brotherbarry5169
    @brotherbarry5169 4 ปีที่แล้ว +1

    Thanks I actually understood after seeing your video 👍🏽

    • @BriTheMathGuy
      @BriTheMathGuy  4 ปีที่แล้ว

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

  • @theodoresweger4948
    @theodoresweger4948 5 ปีที่แล้ว +2

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว +1

      You’re welcome, best of luck!

  • @kelvintai8541
    @kelvintai8541 2 ปีที่แล้ว

    Brilliant explanation!! Thanks!

  • @julianabove6077
    @julianabove6077 4 ปีที่แล้ว

    I have an exam tmr u just saved me thxxxx

  • @YariAzQuran
    @YariAzQuran 3 ปีที่แล้ว

    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!

  • @ambil2660
    @ambil2660 9 หลายเดือนก่อน

    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?

  • @Judyyy2005
    @Judyyy2005 11 วันที่ผ่านมา

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

  • @kylecomisio8209
    @kylecomisio8209 3 ปีที่แล้ว

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

  • @hanaa1339
    @hanaa1339 6 ปีที่แล้ว

    I also watched many videos before this one and this was by FAR the most helpful one!
    Is there a video that continues with the matrix instead of elimination? thank you again

    • @hanaa1339
      @hanaa1339 6 ปีที่แล้ว

      I just noticed that you DO actually finish the video with the method i was asking about. Thank you Thank you

    • @BriTheMathGuy
      @BriTheMathGuy  6 ปีที่แล้ว

      You're very welcome. Glad to help :)

  • @sarahcatania3374
    @sarahcatania3374 6 ปีที่แล้ว +2

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

  • @helisbabi4947
    @helisbabi4947 3 ปีที่แล้ว

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

  • @_Spread_Positivity_
    @_Spread_Positivity_ ปีที่แล้ว

    Brilliant Explanation

  • @yacmario1972
    @yacmario1972 4 ปีที่แล้ว +2

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

  • @darcash1738
    @darcash1738 11 หลายเดือนก่อน

    This video was among the upper echelon of videos about echelons

  • @justinmark2775
    @justinmark2775 4 ปีที่แล้ว

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

  • @chibuezestanley7847
    @chibuezestanley7847 3 ปีที่แล้ว

    I'm happy I came across this video

  • @joshuaotieno9797
    @joshuaotieno9797 4 ปีที่แล้ว +1

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

    • @BriTheMathGuy
      @BriTheMathGuy  4 ปีที่แล้ว

      Thanks very much! Have a nice day.

    • @joshuaotieno9797
      @joshuaotieno9797 4 ปีที่แล้ว

      @@BriTheMathGuy you too. Thanks again

  • @TheAquaticBeef
    @TheAquaticBeef 6 ปีที่แล้ว +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 ปีที่แล้ว +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!

  • @adheelajaleel3238
    @adheelajaleel3238 3 ปีที่แล้ว +1

    This is a life saver! Thank you ❤️

  • @jameszulu5763
    @jameszulu5763 5 ปีที่แล้ว +1

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

    • @BriTheMathGuy
      @BriTheMathGuy  5 ปีที่แล้ว

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

  • @martinamonsurro5564
    @martinamonsurro5564 2 ปีที่แล้ว

    Thank you so much, that was very useful!

  • @tceterex
    @tceterex 6 ปีที่แล้ว

    best video linking gauss siedel with row echelon form

  • @myieshadolley7188
    @myieshadolley7188 ปีที่แล้ว

    Thank you ! Very helpful !

  • @محمدالعجيري-ر5م
    @محمدالعجيري-ر5م 3 ปีที่แล้ว

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

  • @elweewutroone
    @elweewutroone 2 ปีที่แล้ว

    This is brilliant!

  • @lindoskosana720
    @lindoskosana720 2 ปีที่แล้ว

    thank u brother this was so helpful

  • @dannmitselyana4963
    @dannmitselyana4963 4 ปีที่แล้ว +1

    Thank you so much Sir!

  • @johnyhawkahsan
    @johnyhawkahsan 6 ปีที่แล้ว +4

    Wowwww.
    Amazing!
    Thank you so much.

    • @BriTheMathGuy
      @BriTheMathGuy  6 ปีที่แล้ว

      Muhammad Ahsan Taqveem glad to help!

  • @iWinsomeLosesome
    @iWinsomeLosesome 6 ปีที่แล้ว +1

    this was the best explanation !!

  • @Motoplugg
    @Motoplugg 3 ปีที่แล้ว

    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

  • @ariturbo4094
    @ariturbo4094 3 ปีที่แล้ว

    Grear video sir!! Most appreciated

  • @GODCOR
    @GODCOR 3 ปีที่แล้ว +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

  • @shubhendubanerjee2930
    @shubhendubanerjee2930 3 ปีที่แล้ว

    Superb explanation!

  • @sharyanne1475
    @sharyanne1475 6 ปีที่แล้ว +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 ปีที่แล้ว +1

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

  • @vanessadamian8357
    @vanessadamian8357 6 ปีที่แล้ว +2

    this was such a big help thanks

  • @naageshk1256
    @naageshk1256 2 ปีที่แล้ว

    Great explanation 👌👌👍

  • @runabegum1143
    @runabegum1143 4 ปีที่แล้ว +1

    Thank you, that's brilliant!

  • @arshadibrahim5370
    @arshadibrahim5370 4 ปีที่แล้ว

    Wonderful explanation. You explanation is so simple and easy to understand. Keep it up man 👌cheers😎😎.

  • @shawnruby7011
    @shawnruby7011 6 ปีที่แล้ว +5

    I subscribed from this video, thanks

  • @adinandyala
    @adinandyala 4 ปีที่แล้ว

    You're awesome at teaching!

  • @28aminoacids
    @28aminoacids 4 ปีที่แล้ว

    Nice, but you had to do the same operations in order to get to the solutions! Same multiplying and eliminating, does this make anything easy?

  • @hansisbrucker813
    @hansisbrucker813 2 หลายเดือนก่อน

    It finally clicked for me 😁
    Thank you ^^

  • @nkurunzizaegide
    @nkurunzizaegide 4 ปีที่แล้ว +1

    Amazing Video, Superb

  • @made4u363
    @made4u363 2 ปีที่แล้ว

    Thanks a lot

  • @cecilianyangu6790
    @cecilianyangu6790 4 ปีที่แล้ว +2

    Well explained...

    • @BriTheMathGuy
      @BriTheMathGuy  4 ปีที่แล้ว

      Glad you thought so. Have a great day!