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Gaussian Elimination (4 examples)
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- Опубліковано 14 сер 2024
- 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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Woohoo, my joy of watching this is linearly independent 😍
100 Linear Algebra questions in one take. Every 10 questions, do a proof.
yeah that sounds about right
I need that right now.
We watched your videos in high school. Now its time for college linear algebra.
Glad to hear : )
I'm struggling a lot with Linear Algebra in the uni. Would be cool if you made more Linear Algebra videos!
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.
blackpenredpen no, thank youu!!
@@blackpenredpen You're awesome, and I'll always waiting for another Linear Algebra, and maybe so do they
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!
@@blackpenredpen can you solve the whole part A of an IB math hl exam?
Hi! I would like to thank you! I recently created my channel here on UA-cam to promote Mathematics in Portuguese, because I am Brazilian! And your channel was a source of inspiration for me!! so thank you!! ❤️
You are doing a good job!
You released this during my test when I was doing this lmao
lol seriously?
They allow you phones during exam wtf
@@pastelteaaniiii corona?
Really
@@pastelteaaniiii no I found out he posted it after the test but it was posted during if that makes sense
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
Would be nice if he will make a video on it
Yes !!! I agree for more linear algebra. Examples parallel to theory like this is just fine.
Been watching you for years. Never have been disappointed.
12:49 sounded like “how are we gonna integrate that?” haha
Yes! More Linear Algebra would be super appreciated!
Long time no see king, beard looking good 👌👌👌
I just learned how to solve linear systems of equations with matrices in my LA class. This was a good review for it! Thanksssss
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
Eye- this is literally our topic this week. Thank you!
Love it, more linear algebra plz!
This time I would learn Linear Algebra perfectly! Thank you for the video:)
Exactly what I needed, you came in clutch as always, thank you✊
Amazing and easy explanation, answering all my problems. Especially what rows to begin with when trying to obtain RREF. THANK YOU !
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!
Majestic beard and algebra skills;-)
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OML! YES! PLEASE MAKE MORE! I NEED YOU WITH THIS
Thank you! I am doing this in uni rn
Omg the memories of doing problems like these in my dorm room crying my eyes out 😅😅😅.
I swear ur the freaking BOSS!!!
omg yes. thank you for presenting other subjects that confuse students 🙏🏻
from Bangladesh,Love you sir,i am a great fan of you & also i ♥ beard
Love this
Please more linear algebra!
you are my favorite youtuber! You are absolute amazing in anything in math, keep up your videos, I really like it
I adore, this video, super helpful with summing up almost everything that I need to know for matrices and intersecting planes
Wonderful. So enjoyable. I appreciate you showing all the steps
I love your videos, you make math a lot more fun and your methods are always consistent and intuitive
Thank you so much sir for starting linear algebra!
Please do more videos on linear algebra it's really interesting
Thanks for this!
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)
You've got bad professor
You are basically teaching how to convert into Euclidean Form.
You are the Kobe of maths.
Thanks for the vídeo!!!!
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.
Yes! That would help :D
I have it already. Please check my playlists : )
Linear Algebra, some kind of easy, some kind of hard. But, this is the field that I love so much, rather than geometry proof.
Are you planning to do more linear algebra or other topics?
My favourite theme in mathematics! Thank you! In love with matrix
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💜
i have to say you are a good teacher
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
More linear algebra. I'm enjoying this.
best video on GE!
I wrote almost 200 line code in c for this Gaussian elimination to find inverse and another one to solve linear equations
I'd love to see a video on Singular Value Decomposition
that "integral for you" hanging on the wall looks awesome! Can I buy one?
Yes. I have the link in the description: )
yes!!! Thank you so much - perfect timing :D
Why do you suggest we go in that particular order? My teacher says to go column by column.
The way BPRP does it is the algorithm for Row Reduction Echelon Form. Reduces the amount of arithemtic required each step.
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.
what a shame that you didn't upload this video year ago. I would probbably passed Linear Algebra easier xd
More videos like this please, i am studying linear algebra right now
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
I’m saving this for next semester when I take linear algebra.
😃
aprendo más con este chino kliao, agradecido por todo
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,
I was also the 100th comment!
11:33 the first row of orjinal equation is equal to 7/16*row2+3/32*row3
Wow he got a lao zi beard now. Quite the Enlightened fella lol
good job
thank you man, such greate video for practicing
wow the timing of this is insane brother, i just searched this up yesterday haha :D
i was waiting for linear algebra videos thanks a lot !!!
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
I met one of your old students the other day!
He complimented your teaching ability quite a lot! Said you're even better in person than on youtube ^♡^
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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! :)))
Will you make more linear algebra videos?
thanks for this video .
After this series, can you plzz make videos on parabola and hyperbola?
Thanks!
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very informative😯😯
That 'plus C' cloud in his t-shirt is hilarious.
Moar linear algebra plz
Is it possible to determine the number of answers using the ratio of coefficients of variables?
❓❓❔❔
Could you tell me where the questions came from
I made these up : ）
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
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
You should cover ordinary diff eq and do reduction when imaginary values are present.
You mean 2nd order diff eq? I have videos on them already
Perfect for me lol
100 row reductions, when?
Oh man that sounds fun but there is more fun things in linear algebra to do.
100 eigenvectors!
@@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
Is this the same as Gaussian elimination by any chance? Also loved the video !
Yea. They are the same thing.
please make a video about the cramer's rule (with proof)
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
Pls do how to lagrange resolvent for high degree equation.
100 row reductions????
What we are doing here is simple simultaneous equations solving
Please solve an IB math hl exam
Unfortunately I don’t have resource on them. Do you have any links?
its like row equivalent method
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
dm(n-m)
Whoa! It's been a while since I've been on your channel. Beard? :-)
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
100 row reductions when?
Or 100 gram Schmidt
Beard
Nice👌👌👌
Yay advance algebra
100 row reduce!
15:30 How do we find the equation of the intersection line?
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