Gaussian Elimination (4 examples)

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  • เผยแพร่เมื่อ 19 ม.ค. 2025

ความคิดเห็น • 194

  • @drpeyam
    @drpeyam 4 ปีที่แล้ว +24

    Woohoo, my joy of watching this is linearly independent 😍

  • @Nickelicious7
    @Nickelicious7 4 ปีที่แล้ว +115

    100 Linear Algebra questions in one take. Every 10 questions, do a proof.

  • @VoidFunction837
    @VoidFunction837 4 ปีที่แล้ว +97

    I'm struggling a lot with Linear Algebra in the uni. Would be cool if you made more Linear Algebra videos!

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว +69

      That’s my plan. However since I am not teaching linear algebra and I haven’t done linear algebra for over a decade, my production speed won’t be as fast. Sorry about it.

    • @saiframy191
      @saiframy191 4 ปีที่แล้ว +1

      blackpenredpen no, thank youu!!

    • @nabilaaswandy
      @nabilaaswandy 4 ปีที่แล้ว +2

      @@blackpenredpen You're awesome, and I'll always waiting for another Linear Algebra, and maybe so do they

    • @karelhaas1389
      @karelhaas1389 4 ปีที่แล้ว +1

      Don’t underestimate this course. Depending on your study they might make it more difficult than for others. Mine was very much conceptual so memorising a lot of theorems. Most important is to keep up with the material. Good luck dude!

    • @eduardovega3591
      @eduardovega3591 4 ปีที่แล้ว +2

      @@blackpenredpen can you solve the whole part A of an IB math hl exam?

  • @willumpfirst904
    @willumpfirst904 4 ปีที่แล้ว +30

    We watched your videos in high school. Now its time for college linear algebra.

  • @laddbarrett9444
    @laddbarrett9444 4 ปีที่แล้ว +1

    Been watching you for years. Never have been disappointed.

  • @fanyfan7466
    @fanyfan7466 4 ปีที่แล้ว +59

    You released this during my test when I was doing this lmao

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว +11

      lol seriously?

    • @pastelteaaniiii
      @pastelteaaniiii 4 ปีที่แล้ว +1

      They allow you phones during exam wtf

    • @banana6108
      @banana6108 4 ปีที่แล้ว +4

      @@pastelteaaniiii corona?

    • @chethan2668
      @chethan2668 4 ปีที่แล้ว +1

      Really

    • @fanyfan7466
      @fanyfan7466 4 ปีที่แล้ว +4

      @@pastelteaaniiii no I found out he posted it after the test but it was posted during if that makes sense

  • @Nickelicious7
    @Nickelicious7 4 ปีที่แล้ว +3

    Yes! More Linear Algebra would be super appreciated!

  • @infopek3221
    @infopek3221 4 ปีที่แล้ว +10

    12:49 sounded like “how are we gonna integrate that?” haha

  • @antoinecantin1780
    @antoinecantin1780 4 ปีที่แล้ว +1

    So this is the true Gaussian elimination method seeing the resulting matrix,,, thank you this was very insightful considering the fact that now that a lot of colleges and maybe unis have their cursus online and that they now tend to cut on certain very interesting topics !
    Love this channel

  • @ActualDumBatcha
    @ActualDumBatcha 5 หลายเดือนก่อน

    We are doing linear algebra in ninth grade as an extension topic, as we finished the main topics really quickly. This is so useful! Thank you for this resource Steve!

  • @egillandersson1780
    @egillandersson1780 4 ปีที่แล้ว +6

    Yes !!! I agree for more linear algebra. Examples parallel to theory like this is just fine.

  • @MatematicamentecomGRibeiro
    @MatematicamentecomGRibeiro 4 ปีที่แล้ว +6

    Hi! I would like to thank you! I recently created my channel here on TH-cam to promote Mathematics in Portuguese, because I am Brazilian! And your channel was a source of inspiration for me!! so thank you!! ❤️

    • @e.d7759
      @e.d7759 4 ปีที่แล้ว +1

      You are doing a good job!

  • @Marcox385
    @Marcox385 4 ปีที่แล้ว +13

    Long time no see king, beard looking good 👌👌👌

  • @tylerho2792
    @tylerho2792 4 ปีที่แล้ว +3

    I just learned how to solve linear systems of equations with matrices in my LA class. This was a good review for it! Thanksssss

  • @yddragon100
    @yddragon100 4 ปีที่แล้ว +1

    OML! YES! PLEASE MAKE MORE! I NEED YOU WITH THIS

  • @holyshit922
    @holyshit922 4 ปีที่แล้ว +8

    Cramer's Rule and Inverse matrix method are also popular ways to solve system of equations
    Inverse matrix for first example
    1/2 -3/10 1/10
    1/3 -4/15 -2/15
    1/2 -7/10 -1/10

    • @GooogleGoglee
      @GooogleGoglee 4 ปีที่แล้ว

      Would be nice if he will make a video on it

  • @atinjanki2651
    @atinjanki2651 4 ปีที่แล้ว +1

    This time I would learn Linear Algebra perfectly! Thank you for the video:)

  • @o1Lars
    @o1Lars ปีที่แล้ว

    Amazing and easy explanation, answering all my problems. Especially what rows to begin with when trying to obtain RREF. THANK YOU !

  • @magicflour
    @magicflour 4 ปีที่แล้ว +1

    Eye- this is literally our topic this week. Thank you!

  • @Happy_Abe
    @Happy_Abe 4 ปีที่แล้ว +3

    Love it, more linear algebra plz!

  • @imfineimokay3434
    @imfineimokay3434 4 ปีที่แล้ว +2

    Exactly what I needed, you came in clutch as always, thank you✊

  • @amitir22
    @amitir22 4 ปีที่แล้ว

    omg yes. thank you for presenting other subjects that confuse students 🙏🏻

  • @helo3827
    @helo3827 4 ปีที่แล้ว +3

    you are my favorite youtuber! You are absolute amazing in anything in math, keep up your videos, I really like it

  • @ami_ex6931
    @ami_ex6931 4 ปีที่แล้ว +1

    Professor, I’m a dumb primary student. I need help with
    *simplify Extended fractions
    *Indices
    *Modular introduction
    *Factorisation (THIS ONE’S URGENT)
    *Linear graph
    And it would be amazing if you could show more math Olympiad questions but hey! No stress! Keep posting cause I’m always ready for your next video!

  • @matiassantacruz5487
    @matiassantacruz5487 4 ปีที่แล้ว +1

    I swear ur the freaking BOSS!!!

  • @alejrandom6592
    @alejrandom6592 3 ปีที่แล้ว +1

    I love your videos, you make math a lot more fun and your methods are always consistent and intuitive

  • @meronseyoum8526
    @meronseyoum8526 4 ปีที่แล้ว +2

    Majestic beard and algebra skills;-)

  • @blankblank103
    @blankblank103 4 ปีที่แล้ว +1

    Love this
    Please more linear algebra!

  • @jeffreyluciana8711
    @jeffreyluciana8711 4 ปีที่แล้ว

    Wonderful. So enjoyable. I appreciate you showing all the steps

  • @gwub7117
    @gwub7117 4 ปีที่แล้ว

    wow the timing of this is insane brother, i just searched this up yesterday haha :D

  • @ami_ex6931
    @ami_ex6931 4 ปีที่แล้ว +2

    Also which one of your videos is like the easiest one cause your talkin math and I’ve haven’t learned that many words in the math universe

  • @integralboi2900
    @integralboi2900 4 ปีที่แล้ว +2

    Are you planning to do more linear algebra or other topics?

  •  4 ปีที่แล้ว +2

    👍👍👍I am from AZERBAIJAN🇦🇿

  • @addicted7766
    @addicted7766 4 ปีที่แล้ว +1

    from Bangladesh,Love you sir,i am a great fan of you & also i ♥ beard

  • @GreenGoblinCoryintheHouse
    @GreenGoblinCoryintheHouse 4 ปีที่แล้ว

    More linear algebra. I'm enjoying this.

  • @yassine321
    @yassine321 4 ปีที่แล้ว

    i was waiting for linear algebra videos thanks a lot !!!

  • @weonlygoupfromhere7369
    @weonlygoupfromhere7369 4 ปีที่แล้ว +3

    Thank you! I am doing this in uni rn

  • @azhakabad4229
    @azhakabad4229 4 ปีที่แล้ว +1

    Thank you so much sir for starting linear algebra!

  • @ThePowerfulOne07
    @ThePowerfulOne07 4 ปีที่แล้ว +4

    Omg the memories of doing problems like these in my dorm room crying my eyes out 😅😅😅.

  • @lavmana2994
    @lavmana2994 4 ปีที่แล้ว

    I adore, this video, super helpful with summing up almost everything that I need to know for matrices and intersecting planes

  • @alexdarkside115
    @alexdarkside115 4 ปีที่แล้ว

    My favourite theme in mathematics! Thank you! In love with matrix

  • @allmight801
    @allmight801 4 ปีที่แล้ว +1

    Please do more videos on linear algebra it's really interesting

  • @jasonceballos
    @jasonceballos 4 ปีที่แล้ว

    Hello sir. Just wanted to say I like your beard, Im learning a lot from your videos, and I hope your life is going well! Thank you for helping me understand that calculus isn't scary, just long. I think people are scared of calc because of the hand work involved, and I was the same but you helped me accept that which was my only obstacle to committing to calc1/2,

    • @jasonceballos
      @jasonceballos 4 ปีที่แล้ว

      I was also the 100th comment!

  • @thevastuniverse246
    @thevastuniverse246 4 ปีที่แล้ว +4

    Hey there! Love your videos!
    Can u please make a basics of trigonometry playlist? Your explanation is the best! It will help me and others a lot! :)
    Thanks.

    • @kalpanarms9597
      @kalpanarms9597 4 ปีที่แล้ว

      Yes! That would help :D

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว +1

      I have it already. Please check my playlists : )

  • @wahyuadi35
    @wahyuadi35 4 ปีที่แล้ว

    Linear Algebra, some kind of easy, some kind of hard. But, this is the field that I love so much, rather than geometry proof.

  • @julianmldc
    @julianmldc 4 ปีที่แล้ว

    Thanks for doing this video. It would be nice to watch more videos like this, it's amazing all the effort and time that you invest in this type of content.

  • @jmwild1
    @jmwild1 4 ปีที่แล้ว

    You are the Kobe of maths.

  • @dane676
    @dane676 4 ปีที่แล้ว +1

    yes!!! Thank you so much - perfect timing :D

  • @sunnyzhu5791
    @sunnyzhu5791 4 ปีที่แล้ว

    i have to say you are a good teacher

  • @plislegalineu3005
    @plislegalineu3005 2 ปีที่แล้ว +1

    If you do 100 Gaussian eliminations in one take, Gauss won't be alive

  • @ericwolf7460
    @ericwolf7460 4 ปีที่แล้ว

    I learned liner algebra in University this year and my Professor couldn't really explain understandable why you put a - 1 instead of the 0 in the solution... Now I finally got it.
    (in the Video +1 and the other digits negative)

    • @chethan2668
      @chethan2668 4 ปีที่แล้ว

      You've got bad professor

  • @adrianarnaezsanchez4427
    @adrianarnaezsanchez4427 4 ปีที่แล้ว

    More videos like this please, i am studying linear algebra right now

  • @michelmancilla7573
    @michelmancilla7573 3 ปีที่แล้ว

    aprendo más con este chino kliao, agradecido por todo

  • @gaddirafaelalfonsoco3648
    @gaddirafaelalfonsoco3648 4 ปีที่แล้ว

    Hello teacher, it's my birthday today, can I get a video greeting from you Sir? I've been a fan of yours since during my Highschool days. Currently, I'm a 3rd year college student taking an aeronautical engineering course. Thank you for your math videos and for making math easy and enjoyable to learn. Greetings from the Philippines Sir! :)))

  • @seikomyazawa
    @seikomyazawa 4 ปีที่แล้ว +3

    that "integral for you" hanging on the wall looks awesome! Can I buy one?

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว +1

      Yes. I have the link in the description: )

  • @lorenzobarbano
    @lorenzobarbano 4 ปีที่แล้ว +1

    Will you make more linear algebra videos?

  • @mrechbreger
    @mrechbreger ปีที่แล้ว

    thank you I just need this for some image algorithm. While chatgpt introduced something weird to me, your introduction made it clear. The answer of the question: Pretty cool ha

  • @neilshah3059
    @neilshah3059 4 ปีที่แล้ว +3

    Why do you suggest we go in that particular order? My teacher says to go column by column.

    • @youkaihenge5892
      @youkaihenge5892 4 ปีที่แล้ว +2

      The way BPRP does it is the algorithm for Row Reduction Echelon Form. Reduces the amount of arithemtic required each step.

  • @abderrahmanelhamidy1620
    @abderrahmanelhamidy1620 4 ปีที่แล้ว +1

    good job

  • @sayanghosh6996
    @sayanghosh6996 3 ปีที่แล้ว

    best video on GE!

  • @arceuslegend4605
    @arceuslegend4605 4 ปีที่แล้ว +1

    I'd love to see a video on Singular Value Decomposition

  • @Tation16
    @Tation16 4 ปีที่แล้ว +1

    I’m saving this for next semester when I take linear algebra.

  • @ramez2775
    @ramez2775 4 ปีที่แล้ว +1

    Thanks for this!

  • @mfahrii
    @mfahrii 4 ปีที่แล้ว

    11:33 the first row of orjinal equation is equal to 7/16*row2+3/32*row3

  • @NotoriousSRG
    @NotoriousSRG 4 ปีที่แล้ว +1

    Moar linear algebra plz

  • @ahmedyousif4782
    @ahmedyousif4782 ปีที่แล้ว

    thank you man, such greate video for practicing

  • @ibrajeem
    @ibrajeem 4 ปีที่แล้ว +1

    Is this the same as Gaussian elimination by any chance? Also loved the video !

  • @shreeshkulkarni3657
    @shreeshkulkarni3657 4 ปีที่แล้ว +1

    You are basically teaching how to convert into Euclidean Form.

  • @jeffeloso
    @jeffeloso 6 หลายเดือนก่อน

    I have programmed this on a computer quite a few times. However I have also used the method of Cholesky which is faster - can you do a video on this other method. Thanks

  • @neilgerace355
    @neilgerace355 4 ปีที่แล้ว

    15:30 How do we find the equation of the intersection line?

  • @EngineersCalculatorTechnique
    @EngineersCalculatorTechnique 4 ปีที่แล้ว

    very informative😯😯

  • @sueyibaslanli3519
    @sueyibaslanli3519 4 ปีที่แล้ว +3

    Could you tell me where the questions came from

  • @DEEMohdAli
    @DEEMohdAli 4 ปีที่แล้ว +1

    Thank you sir
    This is very helpful. you are legend🙏🏻.
    Please make a video for relations and functions.
    Your solutions are very easy to understand this is crazy sir.
    Where are you from??
    I want to meet you in my life one day damn sure.
    Please tell me your address🙏🏻
    God of mathematics💜

  • @Eichro
    @Eichro 4 ปีที่แล้ว +1

    3:16 I'd just x5 that thing and subtract *before* getting that -3 to 1. These -3 and -15 work so well together already.
    EDIT: Ah alright he did that anyway lol good

  • @idrisShiningTimes
    @idrisShiningTimes 4 ปีที่แล้ว +1

    After this series, can you plzz make videos on parabola and hyperbola?
    Thanks!

    • @mtatapharaoh5174
      @mtatapharaoh5174 4 ปีที่แล้ว

      THIS GUY HELPED ME I GOT 98%, The graph quadratic|Parabola(lic) function is sketch.Turning point, Vertex, x -intercept,y intercept
      th-cam.com/video/Ds2D1mnrbo4/w-d-xo.html
      PARABOLA, CONCAVITY,Quadratic,Graphs,(Stationary/Turning Points),Intercepts,Axis of Symmetry, Vertex
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      differentiation techniques to determine the f'(x)/PRE CALCULUS
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      Paper 1 -2018 Functions, Quadratic, Hyperbolic, Inverse Grade 12 - GET 100% EASY
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  • @GREK643
    @GREK643 4 ปีที่แล้ว +2

    what a shame that you didn't upload this video year ago. I would probbably passed Linear Algebra easier xd

  • @Hi_Brien
    @Hi_Brien 4 ปีที่แล้ว +1

    I met one of your old students the other day!

    • @Hi_Brien
      @Hi_Brien 4 ปีที่แล้ว

      He complimented your teaching ability quite a lot! Said you're even better in person than on youtube ^♡^

    • @chethan2668
      @chethan2668 4 ปีที่แล้ว

      × ×
      0

  • @ben-zl7xv
    @ben-zl7xv 4 ปีที่แล้ว +1

    Wow he got a lao zi beard now. Quite the Enlightened fella lol

  • @eduardovega3591
    @eduardovega3591 4 ปีที่แล้ว +2

    Please solve an IB math hl exam

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว

      Unfortunately I don’t have resource on them. Do you have any links?

  • @KruthGTAS
    @KruthGTAS ปีที่แล้ว

    I solved the 8:43 and reached at a different solution where x=0, y=11/2, z=-5/4, is that consistent with the infinite solutions explanation? Honestly confused

  • @samiulehsan5357
    @samiulehsan5357 4 ปีที่แล้ว

    I wrote almost 200 line code in c for this Gaussian elimination to find inverse and another one to solve linear equations

  • @michaelvarney.
    @michaelvarney. 4 ปีที่แล้ว

    Whoa! It's been a while since I've been on your channel. Beard? :-)

  • @weekipi5813
    @weekipi5813 4 ปีที่แล้ว +1

    That 'plus C' cloud in his t-shirt is hilarious.

  • @poi_aithhkunnnRVC
    @poi_aithhkunnnRVC 4 ปีที่แล้ว

    Pls do how to lagrange resolvent for high degree equation.

  • @arieloh1998
    @arieloh1998 4 ปีที่แล้ว

    please make a video about the cramer's rule (with proof)

  • @2wycked859
    @2wycked859 4 ปีที่แล้ว

    You should cover ordinary diff eq and do reduction when imaginary values are present.

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว

      You mean 2nd order diff eq? I have videos on them already

  • @indrabayumuktyas1414
    @indrabayumuktyas1414 4 ปีที่แล้ว

    What is the solution if in the second row, it is all zero, but in the third row is zero on left side and it is not zero on the right side? Thank you

  • @david35711
    @david35711 3 ปีที่แล้ว

    What does "free variable" mean?

  • @NeonArtzMotionDesigns
    @NeonArtzMotionDesigns 4 ปีที่แล้ว

    One time I came across a row reduction problem where after I reduced everything
    I got every single entry to be a whole number except for the very last entry (bottom right entry) of which ended up being a fraction

  • @hoseinhabibirad1627
    @hoseinhabibirad1627 11 หลายเดือนก่อน

    Is it possible to determine the number of answers using the ratio of coefficients of variables?
    ❓❓❔❔

  • @s1mpelness771
    @s1mpelness771 10 หลายเดือนก่อน

    thanks for this video .

  • @kevinstreeter6943
    @kevinstreeter6943 หลายเดือนก่อน

    Once I get 1s diagonal and 0s below, I do back substitution. I do not do 0s above. Of course, if you are programming a computer, you go all the way with 0s above.

  • @dominionoyelakin7286
    @dominionoyelakin7286 9 หลายเดือนก่อน

    Why negative 3 instead and f positive 3?

  • @kingarth0r
    @kingarth0r 4 ปีที่แล้ว +9

    Perfect for me lol

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว +8

      100 row reductions, when?

    • @kingarth0r
      @kingarth0r 4 ปีที่แล้ว +6

      Oh man that sounds fun but there is more fun things in linear algebra to do.

    • @blackpenredpen
      @blackpenredpen  4 ปีที่แล้ว +7

      100 eigenvectors!

    • @IkikaeruRaimei
      @IkikaeruRaimei 4 ปีที่แล้ว

      @@blackpenredpen I'm waiting for that, when do you do that video of 100 eigenvectors? After the 100 integrals, 100 series, 100 derivatives, ... That's gonna be awesome! :D

  • @maulanarizkyfauzi2669
    @maulanarizkyfauzi2669 4 ปีที่แล้ว

    HI, can u make a video to arrange matrix to diagonally dominant?
    It's really hard for me to do so but I need it because I want to solve the equation with Gauss-Seidel iteration

  • @jadenh1931
    @jadenh1931 4 ปีที่แล้ว

    Where was this last semester 😭

  • @xavier3153
    @xavier3153 4 ปีที่แล้ว

    If an AP contains 'n' terms and 'd' is the common difference.Then find,
    Sum of 'm' terms from end- Sum of 'm' terms from beginning in terms of 'n','m', and 'd'. pls solve this

  • @r_riff4660
    @r_riff4660 4 ปีที่แล้ว

    Beard
    Nice👌👌👌

  • @HenryZhoupokemon
    @HenryZhoupokemon 4 ปีที่แล้ว +1

    100 row reductions when?
    Or 100 gram Schmidt