🟢03a - LU Decomposition : Example 1

Поделиться
HTML-код
  • Опубликовано: 12 сен 2024
  • In this lesson we are going to
    Solve a system of linear equations using LU Decomposition.
    Steps Involved
    1. We first represent the system in the form Ax = b,
    Ax = b, decompose A = LU, L = lower Triangular Matrix and U = Upper Triangular Matrix
    LUx = b, let Ux = z......(2), therefore,
    Lz = b.....(1)
    00:00 - Example 1
    Playlists on various Course
    1. Applied Electricity
    • APPLIED ELECTRICITY
    2. Linear Algebra / Math 151
    • LINEAR ALGEBRA
    3. Basic Mechanics
    • BASIC MECHANICS / STATICS
    4. Calculus with Analysis / Calculus 1 / Math 152
    • CALCULUS WITH ANALYSIS...
    5. Differential Equations / Math 251
    • DIFFERENTIAL EQUATIONS
    6. Electric Circuit Theory / Circuit Design
    • ELECTRIC CIRCUIT THEOR...
    7. Calculus with Several Variables
    • CALCULUS WITH SEVERAL ...
    8. Numerical Analysis
    • MATH 351 / NUMERICAL A...
    Make sure to watch till the end.
    Like, share, and subscribe.
    Thank you.

Комментарии • 37

  • @nnanna0013
    @nnanna0013 7 месяцев назад +13

    This is the best, most put together explanation of LU decomposition on the internet
    You have gained a like, and a subscriber

  • @11reinvented
    @11reinvented 6 месяцев назад +6

    Definitely the most complete explanation of LU decomposition.

  • @redefined4657
    @redefined4657 3 месяца назад +2

    Best LU decomp video online. You're helping with my semester exams. Thanks from India.

  • @hk254lyt8
    @hk254lyt8 6 месяцев назад +3

    You are saving my computer science degree . Respect from 🇰🇪 🫡

    • @SkanCityAcademy_SirJohn
      @SkanCityAcademy_SirJohn  6 месяцев назад +1

      Thanks so so much.
      Kindly text me on +233243084034 WhatsApp

    • @nguku_
      @nguku_ 5 месяцев назад

      kuokoa sem mazee 😂

  • @abdallahneymar8615
    @abdallahneymar8615 13 дней назад +1

    Which means for u you don't have to make the principle diagonal 1s. We just change the entries under the leading entries to zero

  • @HashemAljifri515
    @HashemAljifri515 5 месяцев назад +2

    Thank you so much man you are explaining in a very clear way!! I really appreciate people like you truly 🙏🏻. You got a new subscriber

  • @romaboo9772
    @romaboo9772 5 месяцев назад +3

    I study actuarial science a.k.a insurance mathematics and I have an exam tomorrow on this subject.
    Cheers from Indonesia

  • @newtonsimiyu2705
    @newtonsimiyu2705 6 месяцев назад +2

    very great work to include explanation for LU calculation

  • @abdallahneymar8615
    @abdallahneymar8615 3 дня назад +1

    Sir please if you dont reply this question am dead😂 please is it that u aren't using the doo little and crout and cholesky but rather a different method or because i love this but you using row operation has made me a little bit confused. Which method is this please i realised most of them use alphabets

    • @SkanCityAcademy_SirJohn
      @SkanCityAcademy_SirJohn  2 дня назад +1

      Wow
      The elementary row operation is quite simple oo. Can you go over the video again to see if it will be cool?

  • @rexallassani2321
    @rexallassani2321 Месяц назад +1

    this video makes me finally rest🤝🏼

  • @AludeMgandela
    @AludeMgandela Месяц назад +1

    Perfect 👌 from SA

  • @AludeMgandela
    @AludeMgandela Месяц назад +1

    Perfect

  • @ibiyemiolawaleakinropo3445
    @ibiyemiolawaleakinropo3445 2 месяца назад +1

    I love the teaching

  • @m3gam1n4
    @m3gam1n4 4 месяца назад +1

    Perfect!

  • @FUAD-pd5wh
    @FUAD-pd5wh 4 месяца назад

    Thanks I understood

  • @CillaDarko
    @CillaDarko 10 месяцев назад +2

    👏👏✍🏽

  • @EMYREENRASIAMOHAMADYUSOF
    @EMYREENRASIAMOHAMADYUSOF 2 месяца назад +1

    I love you

  • @bahattineren1773
    @bahattineren1773 4 месяца назад +1

    Should we deploy partial pivoting?