Gaussian Elimination (4 examples)

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)
-------------------------------------------------------------------------------------------------
More Linear Algebra? Please see
Mu Prime Math: • Learning Linear Algebra
Dr. P: • 111 Linear Algebra Tru...
109 T/F by Dr. Weselcouch: • 109 Linear Algebra Tru...
-------------------------------------------------------------------------------------------------
⭐️ Shop my math t-shirts: teespring.com/stores/blackpen...
🎓 Support the channel: / blackpenredpen
☀️ The whiteboard: amzn.to/2R38KX7
#HelloLinearAlgebra #Patience

[@drpeyam]

Woohoo, my joy of watching this is linearly independent 😍

[@Nickelicious7]

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

[@zprogress4004]

yeah that sounds about right

[@yigitsezer6696]

I need that right now.

[@VoidFunction837]

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

[@blackpenredpen]

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]

blackpenredpen no, thank youu!!

[@nabilaaswandy]

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

[@karelhaas1389]

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]

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

[@willumpfirst904]

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

[@blackpenredpen]

Glad to hear : )

[@fanyfan7466]

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

[@blackpenredpen]

lol seriously?

[@pastelteaaniiii]

They allow you phones during exam wtf

[@banana6108]

@@pastelteaaniiii corona?

[@chethan2668]

Really

[@fanyfan7466]

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

[@MatematicamentecomGRibeiro]

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

[@e.d7759]

You are doing a good job!

[@Nickelicious7]

Yes! More Linear Algebra would be super appreciated!

[@Marcox385]

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

[@laddbarrett9444]

Been watching you for years. Never have been disappointed.

[@imfineimokay3434]

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

[@infopek3221]

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

[@yddragon100]

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

[@magicflour]

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

[@egillandersson1780]

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

[@o1Lars]

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

[@tylerho2792]

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

[@atinjanki2651]

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

[@jeffreyluciana8711]

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

[@antoinecantin1780]

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

[@Happy_Abe]

Love it, more linear algebra plz!

[@lavmana2994]

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

[@holyshit922]

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]

Would be nice if he will make a video on it

[@alexdarkside115]

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

[@alejrandom6592]

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

[@GreenGoblinCoryintheHouse]

More linear algebra. I'm enjoying this.

[@blankblank103]

Love this Please more linear algebra!

[@amitir22]

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

[@dane676]

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

[@azhakabad4229]

Thank you so much sir for starting linear algebra!

[@julianmldc]

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.

[@matiassantacruz5487]

I swear ur the freaking BOSS!!!

[@yassine321]

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

[@sayanghosh6996]

best video on GE!

[@ramez2775]

Thanks for this!

[@adrianarnaezsanchez4427]

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

[@ahmedyousif4782]

thank you man, such greate video for practicing

[@weonlygoupfromhere7369]

Thank you! I am doing this in uni rn

[@jmwild1]

You are the Kobe of maths.

[@gabrielvianadasilva5670]

Thanks for the vídeo!!!!

[@sunnyzhu5791]

i have to say you are a good teacher

[@meronseyoum8526]

Majestic beard and algebra skills;-)

[@gwub7117]

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

[@s1mpelness771]

thanks for this video .

[@ThePowerfulOne07]

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

[@allmight801]

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

[@addicted7766]

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

[@MyDreamsLullabies]

very informative😯😯

👍👍👍I am from AZERBAIJAN🇦🇿

[@abderrahmanelhamidy1620]

good job

[@helo3827]

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

[@Tation16]

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

[@chethan2668]

😃

[@michelmancilla7573]

aprendo más con este chino kliao, agradecido por todo

[@jasonceballos]

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]

I was also the 100th comment!

[@arceuslegend4605]

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

[@mrechbreger]

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]

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!

[@thevastuniverse246]

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]

Yes! That would help :D

[@blackpenredpen]

I have it already. Please check my playlists : )

[@ericwolf7460]

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]

You've got bad professor

[@integralboi2900]

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

[@shreeshkulkarni3657]

You are basically teaching how to convert into Euclidean Form.

[@wahyuadi35]

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

[@DEEMohdAli]

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]

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

[@seikomyazawa]

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

[@blackpenredpen]

Yes. I have the link in the description: )

[@GREK643]

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

[@ben-zl7xv]

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

[@NeonArtzMotionDesigns]

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

[@gaddirafaelalfonsoco3648]

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! :)))

[@Eichro]

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

[@mfahrii]

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

[@neilgerace355]

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

[@neilshah3059]

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

[@youkaihenge5892]

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

[@lorenzobarbano8022]

Will you make more linear algebra videos?

[@mahdihasan6816]

Boss❤❤❤

[@arieloh1998]

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

[@NotoriousSRG]

Moar linear algebra plz

[@2wycked859]

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

[@blackpenredpen]

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

[@jeffeloso]

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

[@poi_aithhkunnnRVC]

Pls do how to lagrange resolvent for high degree equation.

[@himallgrg3168]

its like row equivalent method

[@maulanarizkyfauzi2669]

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

[@weekipi5813]

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

[@idrisShiningTimes]

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

[@mtatapharaoh5174]

THIS GUY HELPED ME I GOT 98%, The graph quadratic|Parabola(lic) function is sketch.Turning point, Vertex, x -intercept,y intercept kzbin.info/www/bejne/eqSVdWSjo9eVpZY PARABOLA, CONCAVITY,Quadratic,Graphs,(Stationary/Turning Points),Intercepts,Axis of Symmetry, Vertex kzbin.info/www/bejne/on2Vn3RtltJ8ocU differentiation techniques to determine the f'(x)/PRE CALCULUS kzbin.info/www/bejne/bXateqKhn72krLc Paper 1 -2018 Functions, Quadratic, Hyperbolic, Inverse Grade 12 - GET 100% EASY kzbin.info/www/bejne/eWiXkqSZo8efgq8 Derivative, Differentiate CHALLENGES MADE EASY kzbin.info/www/bejne/j5iye2V9nLGVqKs physics mechanics kzbin.info/www/bejne/Z2fSqWClmspmb7c Paper 1 PART1 -2018 Grade 12 Functions, Quadratic, Hyperbolic, Inverse - GET 100% EASY kzbin.info/www/bejne/n2TXhHysetJ-l6c Paper 1 -2018 Functions, Quadratic, Hyperbolic, Inverse Grade 12 - GET 100% EASY kzbin.info/www/bejne/eWiXkqSZo8efgq8 TRIGONOMETRIC RATIONS GRADE 12 QUESTIONS PAST PAPERS kzbin.info/www/bejne/mp2vYZqOm9Bmo9U

[@Hi_Brien]

I met one of your old students the other day!

[@Hi_Brien]

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

[@chethan2668]

× × 0

[@sueyibaslanli3519]

Could you tell me where the questions came from

[@blackpenredpen]

I made these up : ）

[@indrabayumuktyas1414]

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

[@farhanalima8130]

Pleaze do the math fluid dynamics

[@r_riff4660]

Beard Nice👌👌👌

[@jadenh1931]

Where was this last semester 😭

[@ibrajeem]

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

[@blackpenredpen]

Yea. They are the same thing.

[@michaelvarney.]

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

[@stemstudentph9246]

Yay advance algebra

[@hoseinhabibirad1627]

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

[@mikeoxmall5329]

100 row reductions????

[@david35711]

What does "free variable" mean?

[@ami_ex6931]

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

[@eduardovega3591]

Please solve an IB math hl exam

[@blackpenredpen]

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

[@Revolver03]

I literally saw this on class today lol

[@HenryZhoupokemon]

100 row reductions when? Or 100 gram Schmidt