How to Solve a System of Equations by Gaussian Elimination: Step-by-Step Explanation

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  • เผยแพร่เมื่อ 31 ม.ค. 2025

ความคิดเห็น • 62

  • @ianmelady9865
    @ianmelady9865 3 ปีที่แล้ว +32

    I spent 45 minutes watching different videos, trying to learn this concept. This teacher walks you through the entire process, step by step. Excellent video.

  • @nicholasn.5575
    @nicholasn.5575 4 ปีที่แล้ว +28

    I'm taking a pre-calc class and the Gaussian method was complicated to me, now I understand how to do it. Thank you!

    • @PreMath
      @PreMath  4 ปีที่แล้ว +4

      Glad to hear that! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

    • @isaiahgonzalez3446
      @isaiahgonzalez3446 4 ปีที่แล้ว +1

      JESUS CHRIST LOVES YOU AND HE ALONE SAVES ROMANS 10:9-10 "If you confess with your mouth, “Jesus is Lord,” and believe in your heart that God raised him from the dead, you will be saved. One believes with the heart, resulting in righteousness, and one confesses with the mouth, resulting in salvation."
      REPENT FOR THE KINGDOM OF GOD IS AT HAND!!!🙏🙏🙌🙌❤❤
      JESUCRISTO TE AMA Y SOLO SALVA ROMANOS 10: 9-10 9 "que si confesares con tu boca que Jesús es el Señor, y creyeres en tu corazón que Dios le levantó de los muertos, serás salvo.10 Porque con el corazón se cree para justicia, pero con la boca se confiesa para salvación."
      ARREPENTIRTE PORQUE EL REINO DE DIOS ESTÁ A LA MANO !!! 🙏🙏🙌🙌❤❤

    • @isaiahgonzalez3446
      @isaiahgonzalez3446 4 ปีที่แล้ว

      @@PreMath JESUS CHRIST LOVES YOU AND HE ALONE SAVES ROMANS 10:9-10 "If you confess with your mouth, “Jesus is Lord,” and believe in your heart that God raised him from the dead, you will be saved. One believes with the heart, resulting in righteousness, and one confesses with the mouth, resulting in salvation."
      REPENT FOR THE KINGDOM OF GOD IS AT HAND!!!🙏🙏🙌🙌❤❤
      JESUCRISTO TE AMA Y SOLO SALVA ROMANOS 10: 9-10 9 "que si confesares con tu boca que Jesús es el Señor, y creyeres en tu corazón que Dios le levantó de los muertos, serás salvo.10 Porque con el corazón se cree para justicia, pero con la boca se confiesa para salvación."
      ARREPENTIRTE PORQUE EL REINO DE DIOS ESTÁ A LA MANO !!! 🙏🙏🙌🙌❤❤

    • @yuyito7544
      @yuyito7544 ปีที่แล้ว

      @@isaiahgonzalez3446jesus christ loves you

    • @naebbeyene453
      @naebbeyene453 9 หลายเดือนก่อน

      @@isaiahgonzalez3446 Amen brother the name of the lord be glorified!!!

  • @rebecalopez5792
    @rebecalopez5792 3 หลายเดือนก่อน

    Amazing explanation, spent 2 days trying to understand the subject this video made me learn it in a quick and easy way!!

  • @GoatedGam3r
    @GoatedGam3r 3 ปีที่แล้ว +9

    First off, are you writing with a mouse? If so you're god at it haha. Second, this was a great video and you made it easy to grasp, however, if you show the work between the steps (For Example, 3R1+R2--->R2) it would be simpler to understand. I appreciate you making these videos to help those struggling out there.

  • @enashameed471
    @enashameed471 4 ปีที่แล้ว +4

    Thanks جزاك الله خيرا ❤🧡💛💚💙💜

    • @PreMath
      @PreMath  4 ปีที่แล้ว +2

      You are very welcome EH! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @ChizawuChiteta
    @ChizawuChiteta 2 หลายเดือนก่อน

    Thank you Sir very much for these wonderful explaination

  • @axmedovasadbek6581
    @axmedovasadbek6581 ปีที่แล้ว +1

    Amazing and insightful!

  • @JBieberGDragon-cd9qh
    @JBieberGDragon-cd9qh 3 ปีที่แล้ว +2

    Thankyou. I got a chance to answer my worksheets 💙

    • @PreMath
      @PreMath  3 ปีที่แล้ว +1

      So nice of you dear. Please keep sharing premath channel
      Thanks dear for the feedback. You are awesome 👍 Take care dear and stay blessed😃
      Love and prayers from the USA!

  • @Jessica-hl4mo
    @Jessica-hl4mo 4 ปีที่แล้ว +5

    flawless and exciting video! thank you

  • @shaoo5311
    @shaoo5311 5 ปีที่แล้ว +13

    What is happening at R1-3R2\R1

    • @diegitokillz5736
      @diegitokillz5736 3 ปีที่แล้ว +1

      Same

    • @ronparada
      @ronparada 3 ปีที่แล้ว +1

      If you mean at 5:55 he multiplied R2 by -3 then added it to R1.

  • @amangemedo3795
    @amangemedo3795 2 ปีที่แล้ว +2

    Very good explanation

  • @claudineniyomufasha7881
    @claudineniyomufasha7881 หลายเดือนก่อน

    Thank you teacher

  • @TheHonchoofAllSpearheads
    @TheHonchoofAllSpearheads 4 ปีที่แล้ว +3

    May I know if such system of equations using the Gaussian elimination method has different steps of solving it? I mean like different answers as long as the final answer is the same?

    • @PreMath
      @PreMath  4 ปีที่แล้ว +1

      Hello dear, please check out this video. I'm sure you'd love the method:
      th-cam.com/video/LprQ_Id-8hE/w-d-xo.html
      Take care dear and all the best😃

    • @TheHonchoofAllSpearheads
      @TheHonchoofAllSpearheads 4 ปีที่แล้ว

      @@PreMath noo that’s not what I meant. I know there’s Cramer’s rule and also the inverse method. But what I meant is when using Gaussian method, will the steps be different that yours? Can I email you or something sir? I have a question to ask

  • @AjayAjay-ku3gy
    @AjayAjay-ku3gy 3 หลายเดือนก่อน +3

    Why you multiply 3 in first equation and in second equation -2

  • @Sk8forsocks
    @Sk8forsocks 3 ปีที่แล้ว +2

    theres a difference between gaussian elimination and gauss-jordan elimination .... please fix ur title to reflect this

  • @boyjimbo4941
    @boyjimbo4941 4 ปีที่แล้ว +4

    Thank you very much

    • @PreMath
      @PreMath  4 ปีที่แล้ว +1

      You’re very welcome!
      Take care dear 😃

  • @Taabusaa
    @Taabusaa 3 ปีที่แล้ว +3

    Why you put negative sign before 2 in multiplying row 2 (3:15)

    • @baldaiomir
      @baldaiomir 2 ปีที่แล้ว

      to make -6 and then add r1 to r2 ( 6+ (-6) )

    • @anjolaoluwaadepegba6017
      @anjolaoluwaadepegba6017 3 หลายเดือนก่อน

      To eliminate it to get a zero

  • @horlams1992
    @horlams1992 5 ปีที่แล้ว +7

    you did not explain how u got -2 am d 3 why

  • @bridgetannyap1241
    @bridgetannyap1241 4 ปีที่แล้ว +3

    Thank you.

    • @PreMath
      @PreMath  4 ปีที่แล้ว +2

      You are very welcome Bridget! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and stay safe😃

    • @isaiahgonzalez3446
      @isaiahgonzalez3446 4 ปีที่แล้ว

      JESUS CHRIST LOVES YOU AND HE ALONE SAVES ROMANS 10:9-10 "If you confess with your mouth, “Jesus is Lord,” and believe in your heart that God raised him from the dead, you will be saved. One believes with the heart, resulting in righteousness, and one confesses with the mouth, resulting in salvation."
      REPENT FOR THE KINGDOM OF GOD IS AT HAND!!!🙏🙏🙌🙌❤❤
      JESUCRISTO TE AMA Y SOLO SALVA ROMANOS 10: 9-10 9 "que si confesares con tu boca que Jesús es el Señor, y creyeres en tu corazón que Dios le levantó de los muertos, serás salvo.10 Porque con el corazón se cree para justicia, pero con la boca se confiesa para salvación."
      ARREPENTIRTE PORQUE EL REINO DE DIOS ESTÁ A LA MANO !!! 🙏🙏🙌🙌❤❤

  • @chocolateangel8743
    @chocolateangel8743 2 ปีที่แล้ว

    You're literally doing the same thing you would do using the traditional elimination method. Using matrices just adds an unnecessarily level of complexity.

  • @SloppyPuppy
    @SloppyPuppy 3 ปีที่แล้ว +8

    Doesn't explain anything. I can make a matrix, but why am I multiplying first row by 3 and second by -2. That is key information, otherwise there is no point to showing us this one example.

    • @dremonet
      @dremonet 2 ปีที่แล้ว

      i felt the same exact way

  • @gsuboy
    @gsuboy 4 หลายเดือนก่อน +2

    He literally did not explain why he did certain things, and did not show the work on how to get the answers. This was terrible. Wasted 5 minutes of my life.

  • @MaryShalom-x8t
    @MaryShalom-x8t ปีที่แล้ว +1

    Kindly am stack at R1-3R2 please explain to me

  • @asadtprasad9779
    @asadtprasad9779 3 ปีที่แล้ว

    Thank u 🙏

  • @0_0-g4c
    @0_0-g4c ปีที่แล้ว

    how do you go from having 13 and 39 in R2 to 1 over 13 as 1/13 which makes R2 0 , 1 , 3 ?????? Like give some context man

  • @TaongaMphande-p2l
    @TaongaMphande-p2l ปีที่แล้ว

    Where's the 13 coming from please help

  • @mumesh7199
    @mumesh7199 4 ปีที่แล้ว +2

    12×-26y+34z=18
    -30x+65y-85z=-46
    It slove in gauss method how to do it
    Please reply me fastly

    • @PreMath
      @PreMath  4 ปีที่แล้ว +1

      Dear Umesh, since we are dealing with three variables x, y, and z, so, we must have three equations as well. I'll give you another simple method to solve 3 variables with 3 equations:
      th-cam.com/video/LE_dEqyw0ls/w-d-xo.html
      Thanks for asking.
      Take care dear and all the best😃

  • @phoenixwhiler943
    @phoenixwhiler943 3 ปีที่แล้ว +1

    Why -2?

    • @Leno623
      @Leno623 ปีที่แล้ว

      Same question

  • @measumabbasdayal7867
    @measumabbasdayal7867 2 ปีที่แล้ว

    u made it difficult simply divide r1 with 2

  • @kadramahmoud1699
    @kadramahmoud1699 4 ปีที่แล้ว +1

    Is that simultaneous equation

    • @PreMath
      @PreMath  4 ปีที่แล้ว +1

      Yes, they are simultaneous equations!
      Thanks for asking Kadra dear.
      Stay blessed and healthy😃
      Very happy New Year!

  • @MatovuAmmon
    @MatovuAmmon 4 หลายเดือนก่อน

    I wana be like u

  • @isaiahgonzalez3446
    @isaiahgonzalez3446 4 ปีที่แล้ว

    JESUS CHRIST LOVES YOU AND HE ALONE SAVES ROMANS 10:9-10 "If you confess with your mouth, “Jesus is Lord,” and believe in your heart that God raised him from the dead, you will be saved. One believes with the heart, resulting in righteousness, and one confesses with the mouth, resulting in salvation."
    REPENT FOR THE KINGDOM OF GOD IS AT HAND!!!🙏🙏🙌🙌❤❤
    JESUCRISTO TE AMA Y SOLO SALVA ROMANOS 10: 9-10 9 "que si confesares con tu boca que Jesús es el Señor, y creyeres en tu corazón que Dios le levantó de los muertos, serás salvo.10 Porque con el corazón se cree para justicia, pero con la boca se confiesa para salvación."
    ARREPENTIRTE PORQUE EL REINO DE DIOS ESTÁ A LA MANO !!! 🙏🙏🙌🙌❤❤

  • @rebecalopez5792
    @rebecalopez5792 3 หลายเดือนก่อน

    Amazing explanation, spent 2 days trying to understand the subject this video made me learn it in a quick and easy way!!🎉