Solve a System of Linear Equations Using LU Decomposition

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  • เผยแพร่เมื่อ 11 ธ.ค. 2024

ความคิดเห็น • 384

  • @mr.denver0075
    @mr.denver0075 23 วันที่ผ่านมา +6

    My guy, 12 years later and you're still a legend.
    I have my Numerical Methods exam tomorrow and was scared of this, but now I feel a lot more comfortable with this work.
    Much appreciated.

    • @Mathispower4u
      @Mathispower4u  23 วันที่ผ่านมา

      Glad I could help!

  • @0264341d
    @0264341d 9 ปีที่แล้ว +280

    YOU ARE ABSOLUTELY AMAZING! I've searched so many videos trying to understand how to do this and in two 8-minute videos, you explained it so clearly and simply. Thank you so much!

    • @Mathispower4u
      @Mathispower4u  9 ปีที่แล้ว +36

      +Daniel Jr. I'm glad I was able to help out. Thank you for posting your comment.

    • @chaslewis3334
      @chaslewis3334 8 ปีที่แล้ว +12

      +Mathispower4u I missed class on Friday and I watched your videos to catch up... I think I'm ahead of the material now lol.
      Good stuff sir

    • @xantrk
      @xantrk 7 ปีที่แล้ว +1

      Same here! Everything is cristal clear now. Thanks!

  • @kayleigh3491
    @kayleigh3491 8 ปีที่แล้ว +55

    Thank you so much, a 3 hour lecture left me nothing but confused and you just explained it in under 20 minutes!

    • @KrishnaGupta-yc3jd
      @KrishnaGupta-yc3jd 2 ปีที่แล้ว +6

      It's not even under 9 minutes

    • @castleofshadows
      @castleofshadows ปีที่แล้ว +3

      ​@@KrishnaGupta-yc3jdby technicality under 20 min is correct xD

  • @fenixfyre
    @fenixfyre ปีที่แล้ว +12

    You're the absolute best man. When I was going through undergrad math in college, my institution implemented your videos into every homework assignment we had all the way from algebra to calc 3 and beyond. Thank you for what you do.

  • @ebukaeluzaiuduma3390
    @ebukaeluzaiuduma3390 2 ปีที่แล้ว +5

    Unambiguous and straight to point. Maths is fun and adventurous only with the right teacher.
    Thank you

  • @williamshen7793
    @williamshen7793 ปีที่แล้ว +3

    I watched this during my online test, you saved me!!!

  • @Heckuu
    @Heckuu 15 วันที่ผ่านมา

    You are saving me from my exam tomorrow mate, much much appreciated!!

  • @cristihuma6122
    @cristihuma6122 6 ปีที่แล้ว +118

    2018, it's still gold.

  • @duarizwan8544
    @duarizwan8544 หลายเดือนก่อน +2

    2024, the best video i could find

    • @k.n.v2199
      @k.n.v2199 หลายเดือนก่อน

      Rizwan mallareddy university

  • @Astric404
    @Astric404 23 วันที่ผ่านมา +1

    Thank you so much for the explanation 🙇‍♀️. Wish I have you as my teacher in India.

  • @zEre326
    @zEre326 2 ปีที่แล้ว +2

    10 years later and you’re still saving grades, thank you🙏🏼

    • @azadooWT
      @azadooWT 6 หลายเดือนก่อน +2

      12

  • @cairink2110
    @cairink2110 5 ปีที่แล้ว +1

    Your style of teaching is nice, simple and on point. No technical crap. Keep up the good work.

  • @TheZwhyX
    @TheZwhyX 9 ปีที่แล้ว +6

    Thank you. Much clearer than my prof. I still have questions... (just the differences of steps and rules my prof uses...) but this provided a good understanding of the concept

  • @chookpanquan9172
    @chookpanquan9172 3 ปีที่แล้ว

    Did not expect a 9 year old video to be so helpful!

  • @mrnobody3180
    @mrnobody3180 4 ปีที่แล้ว

    The best tutors are definitely from youtube. TQVM

  • @salbuzz7579
    @salbuzz7579 5 ปีที่แล้ว +3

    i should've clicked your video first before other videos got me so confused, great job

  • @haseebmahmoud4759
    @haseebmahmoud4759 3 ปีที่แล้ว

    2021 and it's still gold.
    I wish my Linear Algebra teacher would be like you

    • @Mathispower4u
      @Mathispower4u  3 ปีที่แล้ว

      Thank you. I will be adding more LA content in the coming weeks.

  • @dt615
    @dt615 4 ปีที่แล้ว

    thanks for the video, our unsung hero. Wonder why its always complicated when a professor teaches the subject, and its always understandable when someone on youtube does it

    • @sampadmohanty8573
      @sampadmohanty8573 4 ปีที่แล้ว +2

      Because when you are on TH-cam, you are searching for the truth while in class you are fed the truth.

  • @maximus7043
    @maximus7043 9 ปีที่แล้ว +24

    Thank You Guys! Clear and Simple!)
    P.S It is my first comment in TH-cam ever...!)

  • @iniquity30e
    @iniquity30e 10 ปีที่แล้ว +9

    Very useful for my industrial engineering maths!! 😭 Thank you so much

    • @fredericoquadros3447
      @fredericoquadros3447 4 ปีที่แล้ว +10

      So did you get your masters?

    • @senzmaki
      @senzmaki 2 ปีที่แล้ว +1

      @@fredericoquadros3447 I'm also curious

    • @sspanwar-v3m
      @sspanwar-v3m 2 หลายเดือนก่อน

      @@fredericoquadros3447 did you get your masters sir?

  • @reginaldcobbina
    @reginaldcobbina 9 หลายเดือนก่อน +2

    2024, it’s still GOLD!

  • @kohi2919
    @kohi2919 4 ปีที่แล้ว

    Having online classes right now due to Covid-19 and this video is a goddamn life saver

    • @Mathispower4u
      @Mathispower4u  4 ปีที่แล้ว

      Thank you for the comment. Please share my channel with your class if you think it might be helpful.

    • @kohi2919
      @kohi2919 4 ปีที่แล้ว

      @@Mathispower4u Already sent it to my whole class and a lot of them find it very helpful!

  • @ProfLawrence1
    @ProfLawrence1 11 ปีที่แล้ว

    Your series on LU factorization makes this crystal clear. Thanks so much.

  • @prachiindira8563
    @prachiindira8563 2 ปีที่แล้ว

    Thank youuuuuuu soooooooo muchhhhh for this! You really saved me from flunking my analysis test

  • @jamessirius8006
    @jamessirius8006 5 ปีที่แล้ว +13

    2019 still, helping people.

  • @cwoods1132
    @cwoods1132 7 ปีที่แล้ว +1

    How can someone dislike this video? This was amazing!!

  • @Bluebatak
    @Bluebatak 10 ปีที่แล้ว +5

    Awesome video! Was struggling with my revision until I chanced upon this. Thank you so much!

    • @laiqalansberg290
      @laiqalansberg290 3 หลายเดือนก่อน

      woah, 9 years ago? how's things now?

  • @James-vm3py
    @James-vm3py 6 ปีที่แล้ว

    this is a very good video,​ simple but effective, better than my math professor thousand times.

  • @madskillz1o1
    @madskillz1o1 11 ปีที่แล้ว

    Finally a good video. Can you believe something as simple as this can be found NOWHERE on our faculty's site ?

    • @Hunny88811
      @Hunny88811 6 ปีที่แล้ว

      Reallllllllllly help fulllllllll thankuuuuuuu 😂😂😂😂😂😂😂

  • @mode0ever
    @mode0ever 6 ปีที่แล้ว

    man you are my hero in calculus 3 and this course

  • @sora11231
    @sora11231 9 ปีที่แล้ว +31

    OK gave you a thumb, you have just saved my exam

  • @wkarny
    @wkarny 8 ปีที่แล้ว +8

    You cleared all of my confusions.

  • @GiGaSzS
    @GiGaSzS 6 ปีที่แล้ว

    Much nicer method that we were doing at university.
    Thank you for the course.

  • @vizmohanan
    @vizmohanan 7 ปีที่แล้ว

    It's hard to find quality videos like this. Thanks. :)

  • @oscarvini
    @oscarvini ปีที่แล้ว +1

    My english is horrible, but its way better watching this than any portuguese video

    • @Mathispower4u
      @Mathispower4u  ปีที่แล้ว

      Thank you for the comment. I assume you know you can change the captions to Portuguese?

    • @oscarvini
      @oscarvini ปีที่แล้ว

      @@Mathispower4u Yes Yes. Sorry to bother you, but can you tell me briefly what should I do when a line has only zeros and therefore LU multiplication cannot be done? I searched a lot for something like this on the internet and couldn't find it :(

  • @habibaahmad3288
    @habibaahmad3288 2 ปีที่แล้ว

    I figured out my mistake... Thank you sooo much now I could sleep well😴😴😴🤓💝💝💝

  • @dimitristasakos269
    @dimitristasakos269 ปีที่แล้ว

    10 years later and its still useful

  • @raz0rstr
    @raz0rstr 8 ปีที่แล้ว +2

    what if at 4:26 you did 3R3+r2. same way to make it 0 ,but would it then be -3 in ur L matrix?

    • @sarmadnadeem_
      @sarmadnadeem_ 5 ปีที่แล้ว

      The same question was rolling in my mind :D

  • @NovaWarrior77
    @NovaWarrior77 2 ปีที่แล้ว

    Thank you so much!!! Needed this for my computer techniques of physics class!!!

  • @wmd5645
    @wmd5645 5 ปีที่แล้ว

    I would rather give money to youtube for my education than these worthless professors. Its really getting ridiculous. How DF do they keep their damn jobs. You made it easy. thanks.

  • @Mahi_013
    @Mahi_013 ปีที่แล้ว

    Thanks a lot for these videos. Short and helpful! 😊🇧🇩

    • @Mathispower4u
      @Mathispower4u  ปีที่แล้ว +1

      I am glad you find them helpful. I appreciate you leaving a comment!

  • @spacecowqp
    @spacecowqp 9 ปีที่แล้ว

    My linear algebra lecturer sucked at explaining this, but you were incredibly helpful, thanks!

  • @bingo7179
    @bingo7179 4 ปีที่แล้ว +1

    thank you, saving me in 2020 global pandemic, i gave you a like

  • @avmr2243
    @avmr2243 2 หลายเดือนก่อน

    2024 ur still helping people ❤

  • @mounirelkatmour319
    @mounirelkatmour319 8 หลายเดือนก่อน

    omg thank you so much this is the simplest way to solve these kinds of exercices

  • @shilpajain9647
    @shilpajain9647 3 ปีที่แล้ว

    All lectures are Very informative lecture 🙏🙏🙏🙏

  • @afianwiejerry7362
    @afianwiejerry7362 2 ปีที่แล้ว

    This just saved me so much thinking

  • @electronicsinfoplus
    @electronicsinfoplus 8 หลายเดือนก่อน

    thank you so much sir, this really helpful. and the quote at the end made my day..

    • @Mathispower4u
      @Mathispower4u  8 หลายเดือนก่อน

      You are very welcome. Thank you for take the time to leave a comment. It is appreciated.

  • @GLM_Pro
    @GLM_Pro 7 ปีที่แล้ว

    you are more then a lecturer..it is well articulated and understood.thank you for making life easy...i have passed my Numerical Method module to the fullest through your support.

  • @khaledmahmudmithu6304
    @khaledmahmudmithu6304 หลายเดือนก่อน +4

    My exam in one hour..😂

  • @smbti22
    @smbti22 7 หลายเดือนก่อน

    Thanks a lot. You tech so good and easy to understand 😢😢😢

  • @siddiqmedouni5336
    @siddiqmedouni5336 4 ปีที่แล้ว

    Best explanation out there PogChamp!

  • @water5795
    @water5795 ปีที่แล้ว +1

    4:00
    why do we use row 2 and not use row 1, -r1 + r3 is still 0 but it’ll give different answer for l

    • @Mathispower4u
      @Mathispower4u  ปีที่แล้ว

      Good question. By using R2, we don't lose the 0 in column 1 in R3. If we use R1, we would lose the 0 in column 1 R3. You can technically use any two rows, but we don't want to lose 0's in the process. Whichever rows we use, it should not affect the answer as long as the row operations are performed correctly.

  • @VivekSingh-vl5wu
    @VivekSingh-vl5wu 4 ปีที่แล้ว

    Best of all. I have been watching many of your videos. They are all very good. Just a suggestion that you include the name of playlist in the video. It is very tough to find related videos in your playlist.

  • @sreejithnair1367
    @sreejithnair1367 9 ปีที่แล้ว +3

    Very Helpful. Nicely explained. Thank You

  • @刘洋-e2c
    @刘洋-e2c 5 ปีที่แล้ว +1

    2019, it's still gold

  • @sakhumzimasemola4948
    @sakhumzimasemola4948 5 ปีที่แล้ว

    thank you man you make life simple

  • @nisa.hlfmntn
    @nisa.hlfmntn ปีที่แล้ว

    thank you sooo much. wonderful video. tekte anladım resmen
    🤩🤩🤩🤩🤩

  • @veekshit8246
    @veekshit8246 6 ปีที่แล้ว +2

    Everything was crystal clear!

  • @VysakhRemesh
    @VysakhRemesh 5 ปีที่แล้ว

    *Mathis real power4u* !!!

  • @dibabehrooz406
    @dibabehrooz406 8 หลายเดือนก่อน

    2024, helped me loads, thanks man❤

    • @Mathispower4u
      @Mathispower4u  8 หลายเดือนก่อน

      Thank you for your comment!

  • @gincoopland6545
    @gincoopland6545 9 ปีที่แล้ว

    Exam in 2 hours I love you!

    • @willeett
      @willeett 9 ปีที่แล้ว

      +Gin coopland Did you pass it?

  • @arka7705
    @arka7705 4 ปีที่แล้ว

    2020 it is still gold

  • @Aoki-99
    @Aoki-99 9 หลายเดือนก่อน +2

    2024 its still Gold

  • @imranshah5382
    @imranshah5382 2 ปีที่แล้ว

    thanks for making this concept digestible

  • @fijarlazuardy570
    @fijarlazuardy570 4 ปีที่แล้ว

    best explanation ever

  • @mayanksharma484
    @mayanksharma484 7 ปีที่แล้ว

    great explanation..just loved it..quick and easy

  • @PawanKumar-gp4zf
    @PawanKumar-gp4zf 4 ปีที่แล้ว

    that's really amazing lecture..simply thanku so much!!

  • @Salsabil365
    @Salsabil365 8 ปีที่แล้ว

    God bless, I don't know why the book tries soo hard to make it look REAL complicated. Thanks

  • @thomasjefferson6225
    @thomasjefferson6225 ปีที่แล้ว

    Years later i still come here when i need to remember this.

  • @chainwaltita2139
    @chainwaltita2139 3 ปีที่แล้ว

    THIS VIDEO IS PERFECT, THANK YOU SO MUCH!

  • @m4yukh
    @m4yukh 5 ปีที่แล้ว

    This method is awesome bro ..

  • @samaawagih7272
    @samaawagih7272 ปีที่แล้ว +1

    THANK YOU!! SO SIMPLE!!💗

  • @songul_t
    @songul_t หลายเดือนก่อน

    oh my god this really helped me understand thank you

  • @emmanueleshun6464
    @emmanueleshun6464 5 ปีที่แล้ว

    God bless you
    This couldn't be any simpler

  • @zaishu3247
    @zaishu3247 6 ปีที่แล้ว

    you save my life,, thanks

  • @FrancisL-u3t
    @FrancisL-u3t ปีที่แล้ว +1

    This is 2023, still on top of list

  • @robg5654
    @robg5654 3 ปีที่แล้ว

    3:50 why do we use row 2 to do that ?

  • @AhmadYakin
    @AhmadYakin 9 ปีที่แล้ว

    Thank you so much... this channel, help me so much. God Bless U.

  • @Zye09
    @Zye09 ปีที่แล้ว +1

    Hello can you tell me what will be the multiplier if I used 2 to obtain 0. For example -2R1+3R3. Which shall I use, 2 or -3?

  • @karteektavarageri5140
    @karteektavarageri5140 4 ปีที่แล้ว

    Simple and straight forward, thank you.

  • @هاجرأسامة-و3ز
    @هاجرأسامة-و3ز 3 ปีที่แล้ว +1

    Awesome, Thanks! I have a question, what shall I change if I use partial pivoting?

  • @jmlb92
    @jmlb92 8 ปีที่แล้ว

    What a great video!! Very easy to understand, keep up the great work!

  • @kaniki_the_problem
    @kaniki_the_problem 9 ปีที่แล้ว

    the best video ever tanx a MILIE !!

  • @Fahad.oct10
    @Fahad.oct10 4 ปีที่แล้ว

    This was helpful, thank you 🙏🏻🙏🏻🙏🏻🙏🏻

  • @alexostrem
    @alexostrem 3 ปีที่แล้ว

    Great video to understand a pretty easy concept, thank you!

  • @loganhunt9028
    @loganhunt9028 5 ปีที่แล้ว

    You're a GODSEND

  • @samarlabidi2863
    @samarlabidi2863 2 ปีที่แล้ว

    Thanks alot for this, really clear and good explanation

  • @kalpanasanu3870
    @kalpanasanu3870 9 หลายเดือนก่อน +1

    Addicted based voice

  • @alliancegaming2k585
    @alliancegaming2k585 หลายเดือนก่อน

    what if you used 2 multipliers? For instance if you had to do 2r1-3r2 and are you allowed to perform scalar multiplication as a row operation in this method?

  • @sprinklepancake
    @sprinklepancake 9 หลายเดือนก่อน

    very straightforward!! thanks!

  • @STUDY-x1y
    @STUDY-x1y 5 หลายเดือนก่อน

    What if your multiplier gave you two zeros, wold you add the multiplier *-1 to the L matrix for the place you intended to be zero on the right matrix, or dot you add it to every position that became zero in that turn. For example, let's say the last row of A looked like (5, 5, 1) and the first row looked like (1, 1, 1). If you use the multiplier -5 you would get a zero at both fives even though we were just intending for the first five. So would it then be appropriate to add -5*-1 to the locations of both zeros or just the first one?

  • @jephtarhlakuinjeya4679
    @jephtarhlakuinjeya4679 2 ปีที่แล้ว

    thank you so much, you made it look easy for me

  • @eugeniesoulange9879
    @eugeniesoulange9879 10 ปีที่แล้ว

    Your video has been of great help.
    thank you :)

  • @danielhooper7776
    @danielhooper7776 3 ปีที่แล้ว +3

    not sure if you will see this, but firstly i wanted to say great video :) very helpful. however, could you explain why this method would ever be used over using gaussian elimination on the augmented matrix? thanks so much.

  • @TheMagmaMman
    @TheMagmaMman 4 ปีที่แล้ว

    YOU R FRICKING GOD, I LOVE U SO MUCH

  • @sohaillarif
    @sohaillarif 7 ปีที่แล้ว +1

    I apply my own row operation like the one suitable from my point of view so Im getting different values of y1 y2 y3 not the ones you derived so is that an issue or the values can vary according to row operation ? reply ASAP I have an exam.

  • @juyeon_kim
    @juyeon_kim ปีที่แล้ว

    thank you so much. you're a genius.

  • @ASR8
    @ASR8 ปีที่แล้ว +2

    2023, it's still gold.

    • @Mathispower4u
      @Mathispower4u  ปีที่แล้ว

      Thank you! 2023 and I am still creating content. :)

  • @mohamedahmed1414
    @mohamedahmed1414 5 ปีที่แล้ว

    You are really amazing . Thank u very much ♥️