Gaussian Elimination (4 examples)

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Gaussian Elimination for row reductions of 3 by 3 system of equations.
0:00 Hello, Linear Algebra
0:15 Ex#1, One Solution Situation
8:43 Ex#2, Inf Many Sol (1 free variable)
15:48 Ex#3, No Solution
21:07 Ex#4, Inf Many Sol (2 free variables)
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1 авг 2024

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Комментарии : 189

@Nickelicious7 3 года назад

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

@zprogress4004 3 года назад

yeah that sounds about right

@yigitsezer6696 3 года назад

I need that right now.

@VoidFunction837 3 года назад

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

@blackpenredpen 3 года назад

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 3 года назад

blackpenredpen no, thank youu!!

@nabilaaswandy 3 года назад

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

@karelhaas1389 3 года назад

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 3 года назад

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

@drpeyam 3 года назад

Woohoo, my joy of watching this is linearly independent 😍

@willumpfirst904 3 года назад

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

@blackpenredpen 3 года назад

Glad to hear : )

@fanyfan7466 3 года назад

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

@blackpenredpen 3 года назад

lol seriously?

@pastelteaaniiii 3 года назад

They allow you phones during exam wtf

@banana6108 3 года назад

@@pastelteaaniiii corona?

@chethan2668 3 года назад

Really

@fanyfan7466 3 года назад

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

@MatematicamentecomGRibeiro 3 года назад

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

@e.d7759 3 года назад

You are doing a good job!

@Nickelicious7 3 года назад

Yes! More Linear Algebra would be super appreciated!

@infopek3221 3 года назад

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

@laddbarrett9444 3 года назад

Been watching you for years. Never have been disappointed.

@egillandersson1780 3 года назад

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

@tylerho2792 3 года назад

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

@o1Lars 10 месяцев назад

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

@imfineimokay3434 3 года назад

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

@atinjanki2651 3 года назад

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

@jeffreyluciana8711 3 года назад

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

@antoinecantin1780 3 года назад

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

@magicflour 3 года назад

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

@yddragon100 3 года назад

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

@alejrandom6592 3 года назад

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

@lavmana2994 3 года назад

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

@Marcox385 3 года назад

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

@holyshit922 3 года назад

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 3 года назад

Would be nice if he will make a video on it

@julianmldc 3 года назад

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.

@alexdarkside115 3 года назад

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

@amitir22 3 года назад

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

@Happy_Abe 3 года назад

Love it, more linear algebra plz!

@azhakabad4229 3 года назад

Thank you so much sir for starting linear algebra!

@blankblank103 3 года назад

Love this Please more linear algebra!

@GreenGoblinCoryintheHouse 3 года назад

More linear algebra. I'm enjoying this.

@dane676 3 года назад

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

@yassine321 3 года назад

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

@adrianarnaezsanchez4427 3 года назад

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

@ThePowerfulOne07 3 года назад

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

@ramez2775 3 года назад

Thanks for this!

@ahmedyousif4782 9 месяцев назад

thank you man, such greate video for practicing

@weonlygoupfromhere7369 3 года назад

Thank you! I am doing this in uni rn

@gwub7117 3 года назад

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

@gabrielvianadasilva5670 3 года назад

Thanks for the vídeo!!!!

@matiassantacruz5487 3 года назад

I swear ur the freaking BOSS!!!

@sayanghosh6996 2 года назад

best video on GE!

@sunnyzhu5791 3 года назад

i have to say you are a good teacher

@allmight801 3 года назад

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

@s1mpelness771 4 месяца назад

thanks for this video .

@jmwild1 3 года назад

You are the Kobe of maths.

@meronseyoum8526 3 года назад

Majestic beard and algebra skills;-)

@arceuslegend4605 3 года назад

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

@addicted7766 3 года назад

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

@jasonceballos 3 года назад

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 3 года назад

I was also the 100th comment!

@Tation16 3 года назад

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

@chethan2668 3 года назад

😃

@michelmancilla7573 3 года назад

aprendo más con este chino kliao, agradecido por todo

@MyDreamsLullabies 3 года назад

very informative😯😯

@abderrahmanelhamidy1620 3 года назад

good job

3 года назад

👍👍👍I am from AZERBAIJAN🇦🇿

@thevastuniverse246 3 года назад

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 3 года назад

Yes! That would help :D

@blackpenredpen 3 года назад

I have it already. Please check my playlists : )

@mrechbreger Год назад

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

@ami_ex6931 3 года назад

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!

@wahyuadi35 3 года назад

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

@integralboi2900 3 года назад

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

@helo3827 3 года назад

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

@shreeshkulkarni3657 3 года назад

You are basically teaching how to convert into Euclidean Form.

@ericwolf7460 3 года назад

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 3 года назад

You've got bad professor

@gaddirafaelalfonsoco3648 3 года назад

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! :)))

@DEEMohdAli 3 года назад

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💜

@samiulehsan5357 3 года назад

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

@ben-zl7xv 3 года назад

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

@maulanarizkyfauzi2669 3 года назад

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

@seikomyazawa 3 года назад

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

@blackpenredpen 3 года назад

Yes. I have the link in the description: )

@jeffeloso Месяц назад

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

@GREK643 3 года назад

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

@neilgerace355 3 года назад

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

@lorenzobarbano8022 3 года назад

Will you make more linear algebra videos?

@NeonArtzMotionDesigns 3 года назад

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

@weekipi5813 3 года назад

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

@Eichro 3 года назад

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

@neilshah3059 3 года назад

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

@youkaihenge5892 3 года назад

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

@mfahrii 3 года назад

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

@poi_aithhkunnnRVC 3 года назад

Pls do how to lagrange resolvent for high degree equation.

@indrabayumuktyas1414 3 года назад

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

@arieloh1998 3 года назад

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

@michaelvarney. 3 года назад

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

@mahdihasan6816 3 года назад

Boss❤❤❤

@sueyibaslanli3519 3 года назад

Could you tell me where the questions came from

@blackpenredpen 3 года назад

I made these up : ）

@Hi_Brien 3 года назад

I met one of your old students the other day!

@Hi_Brien 3 года назад

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

@chethan2668 3 года назад

× × 0

@2wycked859 3 года назад

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

@blackpenredpen 3 года назад

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

@NotoriousSRG 3 года назад

Moar linear algebra plz

@hoseinhabibirad1627 5 месяцев назад

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

@idrisShiningTimes 3 года назад

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

@mtatapharaoh5174 3 года назад

THIS GUY HELPED ME I GOT 98%, The graph quadratic|Parabola(lic) function is sketch.Turning point, Vertex, x -intercept,y intercept ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Ds2D1mnrbo4.html PARABOLA, CONCAVITY,Quadratic,Graphs,(Stationary/Turning Points),Intercepts,Axis of Symmetry, Vertex ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lL2nA7amIkc.html differentiation techniques to determine the f'(x)/PRE CALCULUS ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-7EJIokjXqvU.html Paper 1 -2018 Functions, Quadratic, Hyperbolic, Inverse Grade 12 - GET 100% EASY ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-C74aqcnblLM.html Derivative, Differentiate CHALLENGES MADE EASY ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-YgOJ2GgLbrI.html physics mechanics ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-16ox-oee39U.html Paper 1 PART1 -2018 Grade 12 Functions, Quadratic, Hyperbolic, Inverse - GET 100% EASY ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-i3tSIvEmKaE.html Paper 1 -2018 Functions, Quadratic, Hyperbolic, Inverse Grade 12 - GET 100% EASY ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-C74aqcnblLM.html TRIGONOMETRIC RATIONS GRADE 12 QUESTIONS PAST PAPERS ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-dlL0gXfk3ms.html

@ami_ex6931 3 года назад

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

@stemstudentph9246 3 года назад

Yay advance algebra

@r_riff4660 3 года назад

Beard Nice👌👌👌

@farhanalima8130 3 года назад

Pleaze do the math fluid dynamics

@ibrajeem 3 года назад

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

@blackpenredpen 3 года назад

Yea. They are the same thing.

@jadenh1931 3 года назад

Where was this last semester 😭

@Zavstar 3 года назад

What we are doing here is simple simultaneous equations solving

@david35711 2 года назад

What does "free variable" mean?

@Revolver03 3 года назад

I literally saw this on class today lol

@KruthGTAS Год назад

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

@himallgrg3168 3 года назад

its like row equivalent method

@kingarth0r 3 года назад

Perfect for me lol

@blackpenredpen 3 года назад

100 row reductions, when?

@kingarth0r 3 года назад

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

@blackpenredpen 3 года назад

100 eigenvectors!

@IkikaeruRaimei 3 года назад

@@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