Gauss Jordan Elimination & Reduced Row Echelon Form
This precalculus video tutorial provides a basic introduction into the gauss jordan elimination which is a process used to solve a system of linear equations by converting the system into an augmented matrix and using elementary row operations to convert the 3x3 matrix into its reduced row echelon form. You can easily determine the answers once you convert it to that form.
Introduction to Matrices:
• Intro to Matrices
Adding and Subtracting Matrices:
• Adding and Subtracting...
Scalar Multiplication of Matrices:
• Scalar Multiplication ...
Solving Matrix Equations:
• Solving Matrix Equations
Multiplying Matrices:
• Multiplying Matrices
__________________________________
Gaussian Elimination & Row Echelon Form:
• Gaussian Elimination &...
Gauss Jordan Elimination:
• Gauss Jordan Eliminati...
Gaussian Elimination With 4 Variables:
• Gaussian Elimination W...
Inverse of a 2x2 Matrix:
• Inverse of a 2x2 Matrix
Inverse of a 3x3 Matrix:
• Inverse of a 3x3 Matrix
__________________________________
Determinant of 2x2 and 3x3 Matrix:
• Determinant of 3x3 Mat...
Determinant of 4x4 Matrix:
• How To Find The Determ...
Cramer's Rule - 2x2 Linear System:
• Cramer's Rule - 2x2 Li...
Cramer's Rule - 3x3 Linear System:
• Cramer's Rule - 3x3 Li...
___________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
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Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzread.info/dash/bejne/Zop1uthvqbW7fLg.html
@krave1324
Жыл бұрын
Thanks for the help my g
This guy is a literal blessing; the only sad thing is that people come to him only when it's too late - the night before the final.
@suheyl-hx6sh
Жыл бұрын
well...the test is after 2 hours..
@samuelomane-boadi5829
Жыл бұрын
It’s 2 hours before the paper 😢
@jimihamtarou2913
Жыл бұрын
Me rn
@lordoflobsters7254
Жыл бұрын
@@suheyl-hx6sh lmao same
@jayPeezy1k
Жыл бұрын
literally me rn 2 hours before my exam rmfaooo
bruh got me through Calc 2, now he's helping me in Linear Algebra, hopefully man dem have vids for Calc 3.
@meanmole3212
3 жыл бұрын
yup
@dustybuiscits7424
3 жыл бұрын
his calc 3 vids helped me so much
@urextraaverageweirdo6124
4 ай бұрын
Guy has like every stem subject covered for you
My professors always explain things so fast I get hopelessly lost. You take your time to explain all the operations and I appreciate that
@PavanKalyan-bo6qp
Жыл бұрын
bro get your brain checked
It took me 5 days to fully understand Gauss-Jordan Elimination. I have now, after many attempts, come to a conclusion that you ALWAYS have to do this when you start (the example is a 3x4 but the rule is for all): - - | 1 x x | x | | x x x | x | | x x x | x | - - - - | 1 x x | x | | 0 x x | x | | x x x | x | - - - - | 1 x x | x | | 0 x x | x | | 0 x x | x | - - After you have done these three steps you need to check if there’s a “1” in the middle of row two or three. If there’s no “1” in the middle of row two but there’s a “1” in row three, you need to swap row two with row three. If there’s no “1” in either, you have to find the pivot in row two and turn it into a “1”. These steps are the fundamental of Gauss-Jordan Elimination. The other steps will become clear after these steps.
@maaz2004
Жыл бұрын
Bro you saved me thank you so much
@deespace3744
8 ай бұрын
Nice 😮
@spencerlevy345
8 ай бұрын
Legend comment. Never know what direction to take the questions in.
@jd2981
7 ай бұрын
What do you mean by pivot?
@bioshock5620
6 ай бұрын
@@jd2981I think the number in the row/column that u want to change
Matrices had me in literal tears while studying for finals. This helped so, so much, I can't thank you enough. Not one tutor I've been to has bothered to explain how we choose what row to work with or what numbers we choose. You've simplified it so much, thank you!
@maindepth8830
2 жыл бұрын
i am still confused as to how make this unholy disgusting garbage of a method to work
@anycolouryoulike8567
2 жыл бұрын
@@maindepth8830 Yup.
@mm-ol6ed
2 жыл бұрын
I’m literally in tears now typing this :(
@swegmastur614
2 жыл бұрын
@@mm-ol6ed appropriate profile picture
@exactpeak5995
Жыл бұрын
@@maindepth8830 I might be a bit late but posting this here so other people don't have to go through the pain I did. So it turns out the order in which you choose what row to work with is irrelevant, as long as you calculate everything correctly. Some orders are more convenient than others but in the end all give the same answer. You might have to work a lot with fractions if you don't follow the convenient "path" but in the end it'll all check out.
It seems so easy until you try solving one question 😭😭😭
@kishtv4647
3 жыл бұрын
😂😂😂😂😂😂
@LasTvke
3 жыл бұрын
Soo true😂😂😂
@42luke93
3 жыл бұрын
@@abdomenebadellah Does the order of finding the zeros matter? Do all zeros in this order before 1 right
@loo524
3 жыл бұрын
42luke yea It matters like u go fro row 1 to row 2 then row 3 for the bottom left. Then for the top right u go opp
@nimikaattania9409
3 жыл бұрын
For auto solution of gauss jorden method you can watch this tutorial to. Thnx me later kzread.info/dash/bejne/qK6impederjMY7A.html
Just want to let you know you're amazing! Anytime I run into challenges, I'm always stoked when your videos pop up. Thank you for all of your help!
I should stop going to class and watch these videos.
@DiasSaid99
4 жыл бұрын
Tyrell Harris I said the same thing yesterday!
@StigmaticGerm
4 жыл бұрын
i started doing that 2 years ago and I've maintained solid grades doing so, he's very good at explaining all math concepts.
@joodabed7816
4 жыл бұрын
Me too👌
@bbinbbinb
4 жыл бұрын
No! Go to classes and watch videos. Do both, be more successful.
@shrekmeharder6983
4 жыл бұрын
Yeah Uni is kinda a scam
Words larger than 'Thank you' for being the first person - ever - to show all the steps, and most importantly right at the very end, in what it means for x,y,z values. My Math understanding of rmatrices is so much clearer thanks to you. Totally appreciate you.
It’s the way the lecturers here in my school make this easy concept so complicated. Thanks man , you deserve my respect.
@The Organic Chemistry Tutor has been very instrumental in my efforts to pass Mathematical Analysis & Linear Algebra here at college. This tutorial lessons are much more effective than what I get from school. Thanks a lot Sir for your work is wonderful. I´ll refer many others to this Channel.
@PavanKalyan-bo6qp
Жыл бұрын
bro this is not music class to put instruments in you. go and study.
@charless__10
Жыл бұрын
@@PavanKalyan-bo6qp You clearly don't understand simple english, i'm sorry for you
@PavanKalyan-bo6qp
Жыл бұрын
@@charless__10 who asked?
@violetboulevard3899
Жыл бұрын
@@PavanKalyan-bo6qp I asked
@Random_sapiens
9 ай бұрын
@@PavanKalyan-bo6qpThat's the point no one cares about your opinion and no one asked 😊
My professor makes this seem so complicated but when you didn’t it was so easy.
@abdouliebah6792
5 жыл бұрын
he is ma sumperstar
@meanmole3212
3 жыл бұрын
Next time try learning a new thing with his teaching first and then listen your professor's explanation. You might find that suddenly your professor is a great teacher.
@avrilynravenee5143
2 жыл бұрын
@@meanmole3212 idk man, if you cant introduce a topic to your students in a way that they understand then youre still a bad teacher
@cricticalthinking4098
2 жыл бұрын
@@avrilynravenee5143 yeah likely you'll just feel like a smarty-pants as all the other students struggle with learning it for the first time. then you wonder why you showed up to lecture in the first place
@VigneshVicky-zo5bk
Жыл бұрын
simp
Thank you so much!! In 10 minutes you manage to explain something that my professor is trying to explain to us in 3 hours
you sir carried me in organic chemisty 1 and 2 when i was doing my bachelor degree back then .. now im doing my master degree and u sir are doing the same thing but with math .. thank you so much!!
You're a hero I hope you know that! Can't say enough how much I appreciate your videos! Especially as a bio student that struggles constantly with math.
@VigneshVicky-zo5bk
Жыл бұрын
I cannot imagine how much u struggle with ur life wen u cant even do math
@jixpuzzle
Жыл бұрын
@@VigneshVicky-zo5bk r/iamverysmart
@PavanKalyan-bo6qp
Жыл бұрын
Go watch marvel.
Very well explained! Thank you very much. All the professors should watch and learn how to explain the material properly. Thank you very much.
Preparing for my math placement exam would be horrible with you!! Thank you for all you do. It's incredibly admirable. -Arin
@speedwagon1198
Жыл бұрын
Without* you XD
i seriously cannot use words to express how thankful i am to you.Thank you so much thank you.
I'm a university student, and your videos help greatly to my lessons Thank you🌼
@PavanKalyan-bo6qp
Жыл бұрын
Then quit University!
@youtubenews178
Жыл бұрын
@@PavanKalyan-bo6qp that’s a dumb idea. You take college to get a degree and the certification that says you know how. Not to learn it unless you really want to
You explain it wayyyy better than my lecture, God Bless👏🏾👏🏾
Solving by both ADDing and SUBTRACTing rows instead of just always ADDing them may make some people prone to more errors when solving... You may have said it in the video, since I skimmed through, but for anyone who doesn't see it, when you ADD rows like ( R1 + R2 ) ONLY row R2 will CHANGE. And when you SUBTRACT rows like ( R1 - R2 ) ONLY R1 will CHANGE. My professor explained it to us as if there's no such thing as subtraction.. Since you can say... R1 + (-R2) = R1 - R2 I Always ADD rows and Never subtract so I can try and make it easier on myself to remember that only the right side of the addition problem will be the row that will be changed. For me, this is easier when I'm in a rush not to make mistakes. Because doing it your way just adds another step to think about and is something you need to consciously be aware of so you don't switch the wrong row. As an example at 5:40min in the video instead of your way.... 3(R1) - R2 {Where only Row 1 changes} I would do... -3(R1)+R2 {Where only Row 2 changes} I always ADD the rows and never subtract and just know the right side of the addition problem is the row that will be changed. This is just something that helped me make fewer mistakes and possibly save a few seconds time. Its good to get as many perspectives as you can though to find out which way is better for each individual.
@theadel8591
5 жыл бұрын
Hunter Keating This is exactly what I thought, I really figured from the beginning that there was something off because what I learned at college contradicts with his way which is directly subtracting one row from another but the correct operation says: you can add a multiple of one row to another row.
@SM-qn7sr
2 жыл бұрын
I do this too!!! It’s so much easier for me
@pradeepkumardutta4292
2 жыл бұрын
Thanks a lot 🙏🏻
@fadybassem9804
Жыл бұрын
you can simply assign the value of the operation to a row for example R1-R2 ---> R1 and this would be less likely to cause you errors while still substracting
@ZavN11
Жыл бұрын
Literally just commented this, thanks alot!!
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Thank you so much! First time learning this and thankfully got through the assignment well 👍🏻
Thank you man! I watched your video the day before the exam and it saved my life. During the exam was the first time I was row reducing by hand and I got it! Manh thanks!
First you help me in cal 3 and now linear algebra thank u so much . Your videos surely deserve like from me
My teacher just linked this video for reference, a true G
@flashbaq23
3 жыл бұрын
Good luck!
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God Bless you man! Thank you so much. this was so helpful... all the way from Sunny South Africa
MR. Organic Chemistry Tutor, thank you for a fantastic introduction to the Gauss-Jordan Elimination Method and Reduced Row Echelon Form in Precalculus/Linear Algebra.
Sir, I do not know how to thank you! But you should know that you saved me and helped me a lot!! God bless your beautiful soul!
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Outstanding Explanations. By far this channel is the Rolls Royce of Mathematics - The tutor is the Undefeated Champion proving a Supreme Clarity while he is standing out by Depth & Elegance 🙏
@PavanKalyan-bo6qp
Жыл бұрын
Who asked?
@ashketchum1244
Жыл бұрын
@@PavanKalyan-bo6qp i did
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This channel helps me in my campus Mathematics courses. At this rate ,I only go to class only to go back home and learn on this channel
@riszkyhermawan2980
3 жыл бұрын
i dont even go to campus man, i just enter a zoom room
You are a life savior because i was given some assignment on this ,of which i had no clue about this method.So i just came to your channel and BOOM i found it. Thank you.
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my new online teacher. My percale teacher does zoom or anything. She just hashes out notes and tests.
I've always said, and I will maintain, that the only relevant setting of knowledge after 2005 is the laboratory (2005 is the creation of KZread and Vimeo and the start of a full online and social media age). Most classrooms are not worth it anymore because most teachers are not teachers, they are simply professionals with no passion at all to impart their knowledge. The Organic Chemistry Tutor is a teacher...he knows the stuff and can impart it clearly. We need more of him in schools all around the world, even in developed countries (I've been to 6 of them and very many of their teachers suck even though they have all the facilities and equipment). Keep up your good work and the earlier UNESCO realizes this the better.
Thank you, for your lessons teacher !
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THE HERO. YOU SAVE MY LIFE
this was really helpful thank you so much
Finally find the right tutorial now i understand this lesson
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I wish I came across this video before I had a mental breakdown trying to solve it myself
@Exousia_TV
3 жыл бұрын
😅😅😅
@cemtolgamunyas4530
3 жыл бұрын
same
@InverseCr0wn
3 жыл бұрын
me coming here before i even attempt it again and end up crying
You are amazing for study help, life saver for real.
Thank you so much, i love your explaining ! hopefully i Do good on my quiz today!!
Beautifully explained
This man has saved so many professors' jobs.
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istg this guy saved my life. RREF was a pain and linear algebra is basically RREF
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knowing which row to add so the other zeros stay the same is sill confusing, anyway this guy is saving my engineering career
Nice explanation sir, thank you
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@PavanKalyan-bo6qp
Жыл бұрын
I think your teacher thought you DUMB!
That's so helpful, thank you so much. I struggled a bit to concentrate on the explanation due to the low sound. It would be much better if the sound is louder in the next lessons!
Nice video. Thank you!
Thanks dude!!! I swear you get me through all of my Math and Science!
@PavanKalyan-bo6qp
Жыл бұрын
this was a maths video!
@williamtylerwillis6417
Жыл бұрын
@@PavanKalyan-bo6qp no shit
Thank so much. I almost forgot this question
Very well explained, thank you
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Great vid, thanks for the help