[Linear Algebra] Solution Sets for Systems of Equations

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  • čas přidán 7. 08. 2024
  • We learn how to find a solution set for a system of equations.
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    #LinearAlgebra #Algebra #UniversityMath #Lecture
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    Linear Algebra: • Linear Algebra
    -Recommended Textbooks-
    Linear Algebra and Its Applications (Lay): amzn.to/37gBZ27
    Linear Algebra Done Right (Axler): amzn.to/2T0GpBI
    Introduction to Linear Algebra (Strang): amzn.to/3dC6kJq
    Linear Algebra: Step by Step (Singh): amzn.to/2T33G65
    3,000 Solved Problems in Linear Algebra (Lipschutz): amzn.to/3j2nJMw
    We look at writing solution sets for systems of equations. We also look at free variables and basic variables.
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Komentáře • 20

  • @EclecticVibe
    @EclecticVibe Před 5 lety +9

    It's not always true that any variable can be taken as the basic and free variables, as you said. Variables corresponding to pivot columns should be taken as basic variables, and the other variables are taken as free variables.

  • @BudskiiHD
    @BudskiiHD Před 7 lety +3

    thank you!! your videos deserve so many more views

  • @johnahn7323
    @johnahn7323 Před 5 lety

    The best explanation!

  • @joudrodiak4681
    @joudrodiak4681 Před 2 lety +2

    I am currently binging a whole course in 6h at 1AM thanks to you legit respect

    • @Rwko.
      @Rwko. Před 2 lety

      why

    • @joudrodiak4681
      @joudrodiak4681 Před 2 lety +4

      @@Rwko. dont do that I failed and resitting the course next month,

    • @Rwko.
      @Rwko. Před 2 lety +1

      @@joudrodiak4681 studying 6h straight at the middle of the night is not a good way to study Buddy. I'm probably failing the subject too since I cannot seem to grasp it,but definitely try and study a little bit at a time while focused.

  • @user-cw2tf5ib3l
    @user-cw2tf5ib3l Před 6 lety

    Thanks

  • @tumikabi3705
    @tumikabi3705 Před 7 lety +6

    Sorry by 9:03 why is it -3x3? shouldn't it be a +3x3?

    • @canadianiam
      @canadianiam Před 6 lety +1

      Tumi Kabi this exactly he just decided to add a negative for some non mathematical reason

  • @GidZk
    @GidZk Před 7 lety +3

    Hello, I don't really get why x3 should be free, I do see that it's not a pivot column and therefore free, but what is the logic behind that?
    Is it that both x1 and x2 is dependent on x3 that is telling us that it should be free? Would be nice with a small explanation.
    Thanks for your videos btw! Cheers!

    • @bruceedward3079
      @bruceedward3079 Před 7 lety

      GidZk he doesn't said x3 is free, x3 is dependent on x4, so x3 is not free, hope this helps

  • @rcfoley
    @rcfoley Před 3 lety +1

    What about X4?

  • @Dontworryboutit247
    @Dontworryboutit247 Před 4 lety +6

    This math is so freakin tedious omg /.-

  • @rowlerthedachshund4634
    @rowlerthedachshund4634 Před 6 měsíci

    you didnt explain anything

  • @maxaxelatractivo5466
    @maxaxelatractivo5466 Před rokem +4

    Ephesians 2:8-9
    (8) For by grace that we are saved through Faith and that not of yourselves, it is a gift from GOD, (9) not by works that no one may boast.
    This Bible verse only tells us that to be able to rest in CHRIST JESUS for eternity, one must put his/her faith in HIM, I know not who need this but I would leave it here