Augmented Matrix for System of Linear Equations | Algebra 2

Поділитися
Вставка
  • Опубліковано 4 сер 2024
  • We go over how to represent a system of linear equations in an augmented matrix. With a system of linear equations, we can store the variables' coefficients in a coefficient matrix, and the constants from the standard form equations in a constant matrix. Bringing these two matrices into a single matrix creates the augmented matrix for the linear system. With the augmented matrix, we can perform elementary row operations to solve the system. We go over several examples of augmented matrices for linear equations in today's lesson. #Algebra2
    What is an Augmented Matrix? • What is an Augmented M...
    Algebra 2 playlist: • Algebra 2
    Algebra 2 exercises:
    ◉Textbooks I Like◉
    Graph Theory: amzn.to/3JHQtZj
    Real Analysis: amzn.to/3CMdgjI
    Proofs and Set Theory: amzn.to/367VBXP (available for free online)
    Statistics: amzn.to/3tsaEER
    Abstract Algebra: amzn.to/3IjoZaO
    Discrete Math: amzn.to/3qfhoUn
    Number Theory: amzn.to/3JqpOQd
    ★DONATE★
    ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons
    ◆ Donate on PayPal: www.paypal.me/wrathofmath
    Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
    Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: crayonangel.bandcamp.com/
    Follow Wrath of Math on...
    ● Instagram: / wrathofmathedu
    ● Facebook: / wrathofmath
    ● Twitter: / wrathofmathedu
    My Math Rap channel: / @mathbars2020

КОМЕНТАРІ • 13

  • @jesusacristo307
    @jesusacristo307 Рік тому +52

    This doesnt help at all if you don't show how to solve

  • @h2take
    @h2take Рік тому +27

    thanks for nothing bro i wasted about 12 min of my life 👍

  • @juweeriyaabdirisak292
    @juweeriyaabdirisak292 Рік тому +10

    How to calculate then

  • @satorugojo6921
    @satorugojo6921 Місяць тому

    Fantastic and clear tutorial. I'll check up the followup row video, man. Seriously, thanks for the clear explanation for my literally clinically diagnosed ADHD addled mind...

    • @WrathofMath
      @WrathofMath  Місяць тому

      Glad to help! This video is in my algebra 2 playlist, so it's pretty basic. You might find more of what you're looking for, solving systems with row operations, in my Lin Alg series: ua-cam.com/play/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG.html

  • @zacksnyder1029
    @zacksnyder1029 2 роки тому +2

    Hello, can I please ask you a question on subsets? how many subsets of {1, 2, 3, …, 20} are there with no more than 2 consecutive integers? Can you please explain step by step how to arrive at the answer?

  • @chizzytheguy4990
    @chizzytheguy4990 Рік тому +14

    you really dont help at all

  • @twilliams2638
    @twilliams2638 Рік тому +1

    Love your breakdown of the linear equations.

  • @kirubelzekarias
    @kirubelzekarias 4 місяці тому +1

    3(X-2y=7)
    -3x+5y=-4
    0x+y=17
    so y is 17 not -17
    And x =41

  • @laine7723
    @laine7723 7 місяців тому +6

    this is the most nothingburger math video i've ever seen
    once you see how someone does it even ONCE; everybody knows how to do it
    people are clicking on this thinking that you are going to solve for x y and z and you are just not doing that
    it is an incredibly simple process and this video comes off as a waste of time considering it's you going on for 12 minutes on basically rewriting numbers in an augmented matrix.
    very not cool