Gaussian elimination | Lecture 10 | Matrix Algebra for Engineers

[@ProfJeffreyChasnov]

Find other Matrix Algebra videos in my playlist kzbin.info/aero/PLkZjai-2Jcxlg-Z1roB0pUwFU-P58tvOx

[@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.

[@generahben]

Please, What’s the software name?

[@瘋狂是真實的]

So do you do this in maths

[@Wkjijo]

-5-9 = -14

[@dpgdragonprogamer6897]

Hello, Jeff Chasnov, I am a Libyan student from the University of Sirte. I would like to extend my thanks to you because you have conveyed the information to my brain smoothly, and I hope that we have competent professors just like you...... Thank you.🤗

[@coolmaster-gh3tr]

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

[@tj_enju]

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..

[@SuperFranzs]

@@sageofsixpaths98 They flip the video after it's filmed.

[@ericfricke4512]

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

[@jasonsavard2819]

this is what has fucked me over so far. thank god for this guy

[@syntax8083]

Great lectures, currently studying linear algebra and I wish I found you sooner, keep up the great content!

[@welcomesibiya6199]

YOU MADE EVERYTHING LOOK VERY SIMPLE...PERFECT EXPLANATION

[@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.

[@n1ls53]

Thank you, Jeff Bezos for good explanation!

[@munumaconrat5886]

Thought it was him too🤣... But he's a genius ✊

[@relaxingsounds1588]

Lol 😆

[@subhanjanabanerjee2482]

😂🤣

[@pvpetvlogs5298]

True😂😂😎😎

[@samkelo_mhlongo5403]

😂😂😂

High quality and thus simple to learn. Thanks!

[@highbee700]

Thank you very much Jeff

[@uygarkilic1]

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

[@propelladies4318]

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

[@aidanlyons9880]

Clear and precise, man done me a solid for my test, big up my G absolute plug. Appreciate it man

[@ix87d]

Learn to speak english properly you fucking degenerate

[@koldblaze6610]

@@ix87d wtf is wrong with you?

[@lawliet2263]

Rip English you africano

[@lawliet2263]

@@koldblaze6610 he's right, this african needs to learn some english

[@sneha_kingdom]

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

[@Henry_Mukolwe]

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

[@elliotmason1193]

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

[@fridaaa0]

People who still don't get it I suppose xD

[@xiijaycaught]

thanks sir.. you really help me on this.. more power and God bless.

[@vincentmudimeli4430]

Mr your lesson very helpful to me you came to mylife when I thought matrix is difficult but you brought back my curiosity and you make it enjoyable

[@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!

[@meilinaa.8185]

very well explained!!! i looked at a bunch of videos but this was the easiest to understand.

[@shagullahmad2303]

u deserve more subscribers sir ; thank u so much 4 your hard working to made this video

[@Lineekela03]

Thank you very much sir... I realy didn;t knew what this was all about

[@mellowbug0880]

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

[@ToriEbanks]

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

[@gurjotsinghbedi3276]

You are a very good teacher

[@damnit2533]

I think this will be very helpful for my tommorow mid semester examination ❤

[@TB12Pats]

You are an amazing help sir. Thank you for taking the time to make this video to teach others like me.

[@handlesarecringe957]

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

[@chinemelumobiorah1012]

Thank you so much 🥰, I have an exam today and this has really helped me

[@bradleyschuit6309]

Thank you Mr Jeffery - you are a great teacher.

[@jeffeloso]

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

[@tech-n-data]

Thank you! You made it much clearer. The fog is lifting!

[@hodorba5567]

his yellow pen is making green and his red is making purple, what a magical man

[@hteteaindrawin1796]

Thank you, sir.THis explanation really helps me.

[@kenzyscope2396]

Informative.

[@kitchenfoodfun3526]

❤❤❤❤❤❤lots of love sir.very good explanation as always

[@vishwanathkannan1093]

This is so perfect. Thanks a lot Jeff!

[@ayah3672]

you are the best!

[@lavanyaappala4474]

Nice trick that i had neverd heard about it 😮😮❤

[@danielbaah5227]

Thank you Jeff u really saved a life

[@COHIBAOFFICIAL]

Amazing... so clear and the presentation was perfect wow, thank you.

[@NDIV23]

easy to understand thankyou sm mr jeff

[@JonasSDU]

This makes so much sense??? Thanks you so much!

[@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 😂 😂😂

[@tylerpatterson434]

You are a great teacher. Thank you.

[@keabetswemotsume3495]

Wow you are such a great teacher! 👨‍🏫

[@opomonjalekan2709]

Very explanatory, excellent sub

[@akocry17]

Very helpful. Thank you Jeffrey!

[@KyleSmithNH]

Incredible video - thanks!

[@solofelangdikate1410]

Thank you....you explained very well....now I understand...

[@mehmetaydin3103]

thanks man i like the way you teach

[@atli8225]

So helpful. Had to revise this for Leontief systems.

[@CSstudent_1001]

Thanks a lot 💜

[@VishalSingh-os5oj]

Thank you it was easy to understand

[@pedrogaleano6722]

Thank you very much! Very clear explanation

[@anandimerchant5180]

Very good explanation! Thanks...

[@kolbe6436]

This video was helpful to me, thank you. Good Job!

[@yashadventures97]

From 7:40 to 7 :55 was confused? What was happening?

[@UgoBenneth]

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?

[@QosolIyoQiso]

Thanks dr jeffrey. i really appreciate

[@jeffeloso]

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

[@kirubeltekle9553]

THANK YOU MR.

[@veteranJUGGERNAUT1]

beautiful explanation, prof! thanks!

[@AJ-et3vf]

Awesome video! Thank you!

[@rhemaislife]

Thank you Professor 😊

[@gurumurthygunasekaran1527]

Thanks Jeff for this video, but do we need to move the LHS to RHS to solve it?

[@mr.danielwizard.5890]

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

[@jayv7122]

thank you my good sir. you saved me

[@BaBylay234]

thanks teacher It is very useful for me

[@advertisawithhafiztulsi6315]

I like the way you teach

[@davidjnrananiawusah118]

PROF. THATS VERY POWERFUL

[@semhararadom1491]

Thank you...God bless you.

[@johnnortey8664]

You are the best 🔥🔥🔥

[@ismailahmed4238]

Amazing explanation, thank you!

[@terencewright2223]

Very well explained,thank you for your videos.

[@yaknuelgh]

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

[@marcellogonzalez3023]

For the Problem that my professor assigned, the Augmented matrix is as follows -1 1 2 2 3-1 1 6 -1 3 4 4 For this problem, to make the number in the third-row first column zero you cannot simply add the first row by the third row. What would I do?

[@ProfJeffreyChasnov]

multiply first row by -1 and add to third row

[@marcellogonzalez3023]

@twistedblktrekie You are correct. I have previously learned that concept. I did not see that correlation until Jeff explained it.

[@marcellogonzalez3023]

@@ProfJeffreyChasnov Thank you sir

[@marcellogonzalez3023]

@twistedblktrekie Yes it does make sense. Thank you. My original question was more along the lines of figuring out what was allowed mathematically for this problem. I was aware that multiplying a positive number by a negative gives you a negative, and that multiplying two negatives or dividing two negatives will give you a positive. However, I did not know that you could manipulate the sign of the number in row one prior to adding it to row three. I was under the impression that I was not allowed to change the sign and that what was given in the original matrix could not change beyond the usual procedures taken in the Gauss Elimination Method.

[@johnlungu9407]

Thanks a lot Jeff🔥

[@abrahamsneo7783]

Brilliant 👏

[@ninja.e]

Thanks! last moment life saviour

[@Mafee01]

Thank you ! Good explanation.

[@nwadiarochinazor8851]

Thanks so much Jeff.

[@parexcellence7379]

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

[@cwesinoble822]

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

[@mogesshewafera8783]

thank you very much. about your good explanation. you are great and keep it up!!

[@Jptoutant]

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

[@lulumethomas7504]

thank you! that really helped.

[@jjjj90197]

That was very helpful. Thank you!

[@makuachgatluak7018]

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

[@StructureSquad]

Thank you Sir for this beautiful and simple explanation

[@fireanduril]

It finally clicked, thanks.

[@Leno623]

Nice work

[@droidkillerv2]

He just put it into a method were you just use direct sub or back sub, but you can finish the matrix by finishing the diagonal of 1’s from top left to boddom right and then finish the 0’s in the top right and boddom left and you will get the answer by doing that to

[@ogochukwuanyakora7280]

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

[@danielax2350]

For first step u mention to subtract 2 from a row, where did u got the 2 from???

[@ProfJeffreyChasnov]

Multiply first row by 2 and add it to second row. 2 times -1 equals -2.

[@pankword]

Thank you Jeff

[@weggquiz]

very helpful

[@nyashamgwisi4117]

Great explanation thanks

[@kemypius5309]

Thank you! I needed this

[@miguelfernandes6971]

Top video! Sporting sempre!