Gaussian elimination | Lecture 10 | Matrix Algebra for Engineers

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  • Опубликовано: 29 дек 2024

Комментарии • 255

  • @ProfJeffreyChasnov
    @ProfJeffreyChasnov  5 лет назад +47

    Find other Matrix Algebra videos in my playlist ruclips.net/p/PLkZjai-2Jcxlg-Z1roB0pUwFU-P58tvOx

    • @jordanbrown262
      @jordanbrown262 5 лет назад +3

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

    • @ProfJeffreyChasnov
      @ProfJeffreyChasnov  5 лет назад +10

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

    • @generahben
      @generahben 3 года назад

      Please, What’s the software name?

    • @瘋狂是真實的
      @瘋狂是真實的 3 года назад

      So do you do this in maths

  • @dpgdragonprogamer6897
    @dpgdragonprogamer6897 10 месяцев назад +15

    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.🤗

  • @n1ls53
    @n1ls53 4 года назад +685

    Thank you, Jeff Bezos for good explanation!

  • @coolmaster-gh3tr
    @coolmaster-gh3tr 4 года назад +32

    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
    @tj_enju 3 года назад +19

    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
      @sageofsixpaths98 2 года назад

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

  • @welcomesibiya6199
    @welcomesibiya6199 5 лет назад +20

    YOU MADE EVERYTHING LOOK VERY SIMPLE...PERFECT EXPLANATION

  • @syntax8083
    @syntax8083 5 лет назад +24

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

  • @ericfricke4512
    @ericfricke4512 4 года назад +70

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

    • @jasonsavard2819
      @jasonsavard2819 Год назад +2

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

  •  5 лет назад +39

    High quality and thus simple to learn. Thanks!

    • @highbee700
      @highbee700 2 года назад

      Thank you very much Jeff

  • @kenn_e
    @kenn_e Год назад +1

    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.

  • @uygarkilic1
    @uygarkilic1 Год назад +4

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

  • @xiijaycaught
    @xiijaycaught 4 года назад +6

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

  • @aidanlyons9880
    @aidanlyons9880 4 года назад +26

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

    • @ix87d
      @ix87d 4 года назад

      Learn to speak english properly you fucking degenerate

    • @koldblaze6610
      @koldblaze6610 3 года назад +7

      @@ix87d wtf is wrong with you?

    • @lawliet2263
      @lawliet2263 3 года назад

      Rip English you africano

    • @lawliet2263
      @lawliet2263 3 года назад

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

  • @Henry_Mukolwe
    @Henry_Mukolwe 3 года назад +5

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

  • @propelladies4318
    @propelladies4318 5 лет назад +4

    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

  • @elliotmason1193
    @elliotmason1193 3 года назад +4

    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
      @fridaaa0 3 года назад

      People who still don't get it I suppose xD

  • @women_kingdom
    @women_kingdom 4 года назад +6

    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

  • @meilinaa.8185
    @meilinaa.8185 3 года назад +1

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

  • @Lineekela03
    @Lineekela03 Год назад +1

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

  • @vincentmudimeli4430
    @vincentmudimeli4430 2 года назад +1

    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

  • @gurumurthygunasekaran1527
    @gurumurthygunasekaran1527 2 месяца назад

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

  • @shagullahmad2303
    @shagullahmad2303 3 года назад +3

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

  • @ToriEbanks
    @ToriEbanks 5 лет назад +2

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

  • @TB12Pats
    @TB12Pats 5 месяцев назад

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

  • @mellowbug0880
    @mellowbug0880 Год назад

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

  • @gurjotsinghbedi3276
    @gurjotsinghbedi3276 3 года назад +1

    You are a very good teacher

  • @markhopkins8731
    @markhopkins8731 2 года назад

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

  • @yaknuelgh
    @yaknuelgh Год назад

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

  • @UgoBenneth
    @UgoBenneth 8 месяцев назад

    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?

  • @hteteaindrawin1796
    @hteteaindrawin1796 3 года назад +1

    Thank you, sir.THis explanation really helps me.

  • @kitchenfoodfun3526
    @kitchenfoodfun3526 Год назад

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

  • @jeffeloso
    @jeffeloso 6 месяцев назад

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

  • @KyleSmithNH
    @KyleSmithNH 11 дней назад

    Incredible video - thanks!

  • @marcellogonzalez3023
    @marcellogonzalez3023 5 лет назад +2

    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
      @ProfJeffreyChasnov  5 лет назад +4

      multiply first row by -1 and add to third row

    • @marcellogonzalez3023
      @marcellogonzalez3023 5 лет назад +1

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

    • @marcellogonzalez3023
      @marcellogonzalez3023 5 лет назад +1

      @@ProfJeffreyChasnov Thank you sir

    • @marcellogonzalez3023
      @marcellogonzalez3023 5 лет назад +1

      @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.

  • @chinemelumobiorah1012
    @chinemelumobiorah1012 3 года назад +1

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

  • @tech-n-data
    @tech-n-data 2 года назад

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

  • @handlesarecringe957
    @handlesarecringe957 2 года назад

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

  • @bradleyschuit6309
    @bradleyschuit6309 8 месяцев назад

    Thank you Mr Jeffery - you are a great teacher.

  • @danielax2350
    @danielax2350 3 года назад +1

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

    • @ProfJeffreyChasnov
      @ProfJeffreyChasnov  3 года назад +1

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

  • @JonasSDU
    @JonasSDU 3 месяца назад

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

  • @COHIBAOFFICIAL
    @COHIBAOFFICIAL Год назад

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

  • @yashadventures97
    @yashadventures97 Год назад

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

  • @NDIV23
    @NDIV23 4 месяца назад

    easy to understand thankyou sm mr jeff

  • @lavanyaappala4474
    @lavanyaappala4474 Год назад

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

  • @vishwanathkannan1093
    @vishwanathkannan1093 2 года назад +1

    This is so perfect. Thanks a lot Jeff!

  • @jeffeloso
    @jeffeloso 6 месяцев назад

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

  • @tomasrodriguez6587
    @tomasrodriguez6587 2 года назад +2

    6:12 its me or there is a problem here

  • @hodorba5567
    @hodorba5567 Год назад +1

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

  • @Jptoutant
    @Jptoutant 3 года назад

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

  • @mehmetaydin3103
    @mehmetaydin3103 2 дня назад

    thanks man i like the way you teach

  • @nm3940
    @nm3940 4 года назад

    Plz clarify.....Gaussian elimination has supremacy of solving all types of solutions over matrix inversion method and cramer rule...then why rouche capelli theorem is needed?

  • @cwesinoble822
    @cwesinoble822 2 года назад

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

  • @kenzyscope2396
    @kenzyscope2396 2 года назад +1

    Informative.

  • @akocry17
    @akocry17 3 года назад +1

    Very helpful. Thank you Jeffrey!

  • @danielbaah5227
    @danielbaah5227 Год назад

    Thank you Jeff u really saved a life

  • @ogochukwuanyakora7280
    @ogochukwuanyakora7280 2 года назад

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

  • @anandimerchant5180
    @anandimerchant5180 Год назад

    Very good explanation! Thanks...

  • @kolbe6436
    @kolbe6436 2 года назад

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

  • @HashemAljifri515
    @HashemAljifri515 9 месяцев назад

    This is numerical methods or linear algebra?

  • @ayah3672
    @ayah3672 3 года назад +1

    you are the best!

  • @keabetswemotsume3495
    @keabetswemotsume3495 3 года назад

    Wow you are such a great teacher! 👨‍🏫

  • @computersciencewithpeter
    @computersciencewithpeter 2 года назад +8

    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 😂 😂😂

  • @pedrogaleano6722
    @pedrogaleano6722 3 года назад +1

    Thank you very much! Very clear explanation

  • @PowertransEngineering
    @PowertransEngineering 10 месяцев назад

    Can you please do another different question because on other questions this method ain't working... Please help

  • @opomonjalekan2709
    @opomonjalekan2709 Год назад

    Very explanatory, excellent sub

  • @AJ-et3vf
    @AJ-et3vf 3 года назад +1

    Awesome video! Thank you!

  • @tylerpatterson434
    @tylerpatterson434 Год назад

    You are a great teacher. Thank you.

  • @VishalSingh-os5oj
    @VishalSingh-os5oj 3 года назад +1

    Thank you it was easy to understand

  • @patriciasomto8866
    @patriciasomto8866 Год назад

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

  • @solofelangdikate1410
    @solofelangdikate1410 4 года назад

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

  • @maxhay8430
    @maxhay8430 2 года назад

    awesome buh did he write inverted the whole time or its some kind of screen

  • @ninja.e
    @ninja.e Год назад

    Thanks! last moment life saviour

  • @mr.danielwizard.5890
    @mr.danielwizard.5890 5 лет назад +3

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

  • @ismailahmed4238
    @ismailahmed4238 4 года назад +1

    Amazing explanation, thank you!

  • @veteranJUGGERNAUT1
    @veteranJUGGERNAUT1 Год назад

    beautiful explanation, prof! thanks!

  • @BaBylay234
    @BaBylay234 Год назад

    thanks teacher It is very useful for me

  • @jjjj90197
    @jjjj90197 4 года назад +1

    That was very helpful. Thank you!

  • @johnlungu9407
    @johnlungu9407 4 месяца назад

    Thanks a lot Jeff🔥

  • @makuachgatluak7018
    @makuachgatluak7018 10 месяцев назад

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

  • @rhemaislife
    @rhemaislife 3 года назад +1

    Thank you Professor 😊

  • @GokuTheSuperSaiyan1
    @GokuTheSuperSaiyan1 5 месяцев назад +1

    Does this guy write backwards on his board for us or...?

  • @johnnortey8664
    @johnnortey8664 2 года назад

    You are the best 🔥🔥🔥

  • @Shene-z1y
    @Shene-z1y Месяц назад

    thanks very much it was very helpful

  • @jayv7122
    @jayv7122 8 месяцев назад

    thank you my good sir. you saved me

  • @terencewright2223
    @terencewright2223 2 года назад

    Very well explained,thank you for your videos.

  • @atli8225
    @atli8225 4 года назад

    So helpful. Had to revise this for Leontief systems.

  • @advertisawithhafiztulsi6315
    @advertisawithhafiztulsi6315 7 месяцев назад

    I like the way you teach

  • @fireanduril
    @fireanduril Год назад

    It finally clicked, thanks.

  • @KennethArua
    @KennethArua 11 месяцев назад

    If we was giving a value that smth of 0.1 under it, and then we had a pivot of 3 above it.. Is it possible to get our value as 0, cos I have tried numerous times to get a number to multiply to 3 and then add to 0.1 to give me 0

  • @kirubeltekle9553
    @kirubeltekle9553 3 года назад +1

    THANK YOU MR.

  • @Mafee01
    @Mafee01 9 месяцев назад

    Thank you ! Good explanation.

  • @nwadiarochinazor8851
    @nwadiarochinazor8851 Год назад

    Thanks so much Jeff.

  • @mogesshewafera8783
    @mogesshewafera8783 3 года назад

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

  • @CSstudent_1001
    @CSstudent_1001 Год назад

    Thanks a lot 💜

  • @HashemAljifri515
    @HashemAljifri515 8 месяцев назад

    Is it necessary to make the triangle coefficients 1?

  • @miguelfernandes6971
    @miguelfernandes6971 Год назад

    Top video! Sporting sempre!

  • @lulumethomas7504
    @lulumethomas7504 3 года назад +1

    thank you! that really helped.

  • @parexcellence7379
    @parexcellence7379 5 лет назад +1

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

  • @abrahamsneo7783
    @abrahamsneo7783 9 месяцев назад

    Brilliant 👏

  • @QosolIyoQiso
    @QosolIyoQiso 3 года назад

    Thanks dr jeffrey. i really appreciate