Cramer's Rule - 3x3 Linear System

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  • Опубліковано 19 гру 2024

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  • @caleborg5688
    @caleborg5688 4 роки тому +344

    This made a lot more sense than the pages of notes we got from our teacher... thank you

    • @cecilianyangu6790
      @cecilianyangu6790 4 роки тому +6

      I agree with you...
      The notes I Also received didn't make sense

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      yes

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      @christianabrokwa6780 3 роки тому

      Facts

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  • @rodduke2040
    @rodduke2040 4 роки тому +36

    I though Cramer's rule will be faster but damn it is longer... I suggest for those who want to resolve 3*3 to do x=A-1*b where A-1=ajoint(A)/determinant(a)

  • @chemist-man
    @chemist-man 6 років тому +37

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  • @matte_molli
    @matte_molli 3 роки тому +36

    someone actually thought about this... like Cramer was like okay im just gonna put all these numbers her select one delete the others multiply like that, then add them and in the end exchange a with d b with d and c with d and there's the answer

    • @rubeneduardooseguedagomez8303
      @rubeneduardooseguedagomez8303 3 роки тому +21

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    My teachers were not explaining this well, thanks for the straightforward and clear guide.

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  • @jjcadman
    @jjcadman 3 роки тому +54

    Very nicely explained.
    One minor quibble: you are using the notation for matrices (the square brackets: "[" and "]") when you should be using the notation for determinants (the straight lines, or pipes: "|" and "|"). But everything else was great! 👍

    • @amoghreddy8885
      @amoghreddy8885 2 роки тому +4

      grow up

    • @viculty4724
      @viculty4724 2 роки тому +7

      What????? It’s literally the correct thing, brackets mean something completely different (greatest integer expression)

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      @amoghreddy8885 2 роки тому +3

      grow up

    • @AclinGG
      @AclinGG Рік тому

      @@amoghreddy8885 teacher literally said he'd fail us in the exam for that you stupid cunt

  • @FIDEL_CASHFLOW_
    @FIDEL_CASHFLOW_ 4 роки тому +2

    Thanks for the clear and concise explanation. My teacher went over this in 45 minutes and I was more lost than when I had started looking at it. Now I can see that it's simple but just takes a fuck ton of time.

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    @hydreox1911 4 роки тому +6

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    @henrytumbusch4628 3 роки тому +15

    This just saved me lots of stress ngl; you explained it so much better than my professor lol

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    I'm in 7th grade and I just started learning this today, and this video helped so much with the hw, tysm!

    • @nickballas4729
      @nickballas4729 4 роки тому +5

      Bruh you learning this in 7th grade?

    • @imsoundish
      @imsoundish 4 роки тому +1

      I doing this in 9th and thought it was semi difficult

    • @gnsn5441
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      Nick Ballas lol it’s quite painful, I took a summer course

    • @gnsn5441
      @gnsn5441 4 роки тому

      SoundlessDestiny it is really hard

    • @Riverish
      @Riverish 4 роки тому

      i learned it in 7th too. i'm in calculus now, and thought that i might review it for fun.

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    @sejalgandhi5320 27 днів тому

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  • @samiullahkhan3828
    @samiullahkhan3828 7 місяців тому

    one of the best if not THE best video made on matrices!! keep up the great content!

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  • @shaoi725
    @shaoi725 2 роки тому +1

    best example of cramer's rule applied on linear system on the internet, very well explained, thank you.

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    @daffo1179 Рік тому

    im a romanian and we do this in math in 11th grade. i wrote cramer on youtube, without anything else, showing me results in english.
    checked the video, checked my notebook, realised how MUCH MORE complicated the method in this video is.

    • @Animx185
      @Animx185 8 місяців тому

      In africa we learn in grade 9

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      @tempestios8297 2 роки тому

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    @FunnyAirplaneWindow-on8sx 5 місяців тому

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    @lovelyrose1811 4 роки тому +1

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  • @rcn9910
    @rcn9910 2 роки тому +1

    @2:47 why is is a1 MINUS/NEG b1 PLUS c1? what determines the PLUS or MINUS/NEG at this stage?

    • @MrEpicOfficial2
      @MrEpicOfficial2 2 роки тому

      i am curious too

    • @shilpasuresh6960
      @shilpasuresh6960 Рік тому +1

      That's cause the actual determinant rule per term is: (-1) ^ (i+j) * a(ij) [Determinant of minor (Mij)] where i = the row and j = the column. Usually, when we evaluate this, we get the order as + a - b + c etc... Hope that makes sense!

  • @ShadOw-zk9nm
    @ShadOw-zk9nm 2 роки тому

    Maaaaaaaaaan you're so awesome thx for the solution of this cramer exercice !

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  • @mateoacostarojas6031
    @mateoacostarojas6031 5 років тому +13

    Niiiceee video! i learn a lot! just one thing, try to put the determinant symbols (the straight lines) instead of the matrix symbols because i tried to do the excercise and i made an scalar matrix multiplication instead of the multiplication of the scalars by the determinant of the 2x2 matrices

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