Gaussian elimination | Lecture 10 | Matrix Algebra for Engineers

We solve a system of three equations with three unknowns using Gaussian elimination (also known as Gauss elimination or row reduction).
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Lecture notes at www.math.ust.hk/~machas/matri...
Paperback at www.amazon.com/Matrix-Algebra...
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[@ProfJeffreyChasnov]

Find other Matrix Algebra videos in my playlist ua-cam.com/play/PLkZjai-2Jcxlg-Z1roB0pUwFU-P58tvOx.html

[@jordanbrown262]

How do you write on that board and display it? Surely you're not writing backwards?

[@ProfJeffreyChasnov]

@@jordanbrown262 Image is mirrored in the software. I am actually right handed.

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Please, What’s the software name?

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So do you do this in maths

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Thank you so much! Unlike other videos, you explained what you needed to do AND why you needed to do it. You even answered questions I didn't know I had. Amazing video 10/10

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Thank you, Jeff Bezos for good explanation!

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YOU MADE EVERYTHING LOOK VERY SIMPLE...PERFECT EXPLANATION

High quality and thus simple to learn. Thanks!

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Thank you very much Jeff

[@ericfricke4512]

Very helpful! My teacher didn't mention what to try to eliminate, so i was aimlessly trying to eliminate things.

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[@kenn_e]

Thank you Jeff, you just saved my life. I finished a guassian elimination class yesterday and I didn't get a thing from the lecture.

[@computersciencewithpeter]

Thanks so much sir.
In just 20 mins I could clearly comprehend everything my college tutor couldn't explain to me in a whole semester 😂 😂😂

[@markhopkins8731]

Thank you! I had half the idea from a text book but your explanation really made it clear. Row-echelon essentially isolates each term!

[@mark_staykind1470]

the explanation is so elegantly done, its so nicely done that I even had time to figure out how he was writing in reverse... truly grateful sir, thnx

[@sageofsixpaths98]

How hes writing in reverse..
Is that a mirror..

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This is the best explanation anyone could ever ask for. Thank you Jeff!

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I didn't understand anything taught in class that day because I was late for lectures , thanks very much for clarifying that for me simply

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Thank you so much, this explanation is so clear and makes it seem way less complicated

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Excellent explanation, i wish all the tutors would be like you sir!

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Wow! thank you so much for the explanation. I was about to lose my mind trying to understand it from the textbook.

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thank you sir you made this concept so clear i was felt so annoyed to do problem .By seeing your video i have got to know how do the problem in simplest manner

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Great explanation! cleared a few things up that weren't covered in detail in my class. Not sure how anyone could dislike this video lool

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People who still don't get it I suppose xD

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I LOVE YOU SO FREAKIN MUCH FOR BEING SO CLEAR AND STRAIGHFORWARD

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Man explained this perfectly in a quarter of the time it took my professors

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Thank you Mr Jeffery - you are a great teacher.

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Brilliant explanation. Thanks!!

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Very good explanation! Thanks...

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Thanks for making it easy to solve.

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I appreciated your work please may you upload more and more, peacefully I've subscribed to your channel

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Thank you. its amazing how I understood this in jut 14 minutes

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So helpful. Had to revise this for Leontief systems.

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Im sorry how do you do that with the cybernetic transparent board, it looks amazing

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beautiful explanation, prof! thanks!

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[@user-bn7qk6me7r]

Concerning this augmented method where you use 2 to multiply the first roll and 1 to multiple the second roll, my question is, is it applicable even in other given equations like this to use same 2 & 1 for the first and second roll?

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Informative.

[@kirubeltekle9553]

THANK YOU MR.

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[@cwesinoble822]

Pls is it necessary to make the entry element 1 before solving

[@pankword]

Thank you Jeff

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Thank you it was easy to understand

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thank you my good sir. you saved me

[@billquinn556]

Thank you. This helped a lot.

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[@jeffeloso]

I have computerised this a number of times, and arranged for all the pivots to be 1, to facilitate back substitution.

[@oluwafemiolumide1365]

Thanks so easy!!

[@ogochukwuanyakora7280]

can we do R1-R2 must it always be addition of the two rows can we do subtraction?

[@GarangNyok-jn6dk]

Well done, thanks

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perrghh thank you sir! 13mins worth!

[@patriciasomto8866]

How did he get that 4 he used in subtracting 6 to grt -2 pls

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Thank you very much it helped a lot.

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Thanks.

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Thank you!

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[@jeffeloso]

Can you do a video on the method of Cholesky, which is faster than Gaussian elimination

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I like the way you teach

[@abrarahmed5007]

Brilliant !

[@yaknuelgh]

With the second pivot, we could've also added -2 to -2 making -2 +2.
Or?