Cramer's Rule - 2x2 & 3x3 Matrices - Solving Systems of Linear Equations - 2 & 3 Variables

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  • Опубліковано 4 лис 2024

КОМЕНТАРІ • 166

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    @TheOrganicChemistryTutor  9 місяців тому +3

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    @sunmichoi6888 4 роки тому +24

    I couldn't understand in my linear algebra class, but you explained so well. Finally, I understand now! Thank you so much

  • @samanthabischoff6660
    @samanthabischoff6660 5 років тому +156

    Mistake at 1:58. Should be c1b2-c2b1.

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    @محمدمهدیترکمانی-س1ع 2 роки тому +13

    tip. you don't have to find value of z . when you have x & y just place the values in the equation and find z in the 1 variable equation . its not that much but 2 min is 2 min

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    @mary-annelaryea791 4 роки тому +4

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    @khanmengui3709 4 роки тому +7

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    @za_warudo477 5 років тому +2

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  • @gentechcorp.6960
    @gentechcorp.6960 2 роки тому +12

    Hi, this is the best understanding I've had so far. Thank you so much but I'm confused at 1:58 and also at 5:00.

    • @tis_i_sana
      @tis_i_sana 2 роки тому +9

      I think he made a mistake!

    • @legendarysupernerd
      @legendarysupernerd 2 роки тому +4

      I also think he made a mistake. Glad to see I wasn't the only one noticing. Thought it was a change in the way the math worked and my lack of knowledge, but the next example did the determinant the normal way.

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      @PavanKalyan-bo6qp 2 роки тому

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      @PavanKalyan-bo6qp 2 роки тому

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      @kaelai1051 Рік тому

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  • @michaelawad2829
    @michaelawad2829 6 років тому +8

    Thank you, got a college mid term today on this

  • @moch4644
    @moch4644 5 років тому +7

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  • @odactive4492
    @odactive4492 Рік тому

    Genuinely life-saving.

  • @jayjayTT868
    @jayjayTT868 7 років тому +3

    Excellent video tutorial... Great for anyone needing to revisit the application of Cramer's Rule.

  • @olivierkalalamkofficiel6877
    @olivierkalalamkofficiel6877 2 роки тому +3

    the formula for dx you said is: c2xb1 - c1xb2 and in the example you use the inverse

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    @AkhonaMkhize-m3h Рік тому

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  • @shanecurrie3192
    @shanecurrie3192 2 роки тому +3

    Quick question, hope someone can help. He states that to find Dx the equation is Dx=c2b1-b2c1... but when solving for Dx he does Dx=c1b2-b1c2. This obviously equates to two totally different answers (changes the answer from 38 to -38). Which is the proper way of solving as one is said and written, but another is used?

  • @blessinglungo4458
    @blessinglungo4458 2 роки тому

    This is helpful will be doing my revisions on this topic,writing my exams in August

  • @kellymoore5517
    @kellymoore5517 Рік тому +1

    Taking college algebra one and reading ahead to matrices. Test is on logs and systems. I wonder if cramers rule is either neater on paper or will help me with accuracy or if it's a shorter time to solve. Anyway cheers and thanks for the clear and thorough explanation! Maybe I can impress the professor with this method on the test...

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  • @karawewa
    @karawewa 8 місяців тому +1

    1:36 should be c1*b2-c2*b1

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    @OGLou-sn6bi 4 роки тому +1

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    @mohrieanas Рік тому

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  • @mathmentorvideotutorial5703

    The process is great but i would rather use basket weave for D, Dx,Dy and Dz

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    @ashtonhagen7085 7 років тому +1

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  • @marisol5824
    @marisol5824 6 років тому +1

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    @mosestasker1921 7 років тому +2

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  • @alexandratenshi7714
    @alexandratenshi7714 Рік тому

    Hi. at the beginning you said for D of x - c2b1-b2c1 => then you changed the formula to usual 2x2 as c1b2-b1c2. Just fyi

  • @mohammedbaramim7639
    @mohammedbaramim7639 4 роки тому +2

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    @emilio2647 6 років тому +3

    I had to learn this in my electrical circuits class at university.

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    @CwekuRyan 2 роки тому

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    @hassatoujallow2285 4 роки тому

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  • @Fezille999
    @Fezille999 6 днів тому

    He made a small error at the beginning of the video while he was showing us how to calculate Dx but everything else seems fine thanks 🙏

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    @mwerti9906 2 роки тому

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    @isaacmelle9303 5 років тому +9

    The "now what about..?" organic chemistry tutor

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    @TAS12778 11 місяців тому

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    @ershodyusupov9344 Рік тому

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  • @hafizascape
    @hafizascape 5 років тому +11

    You have a mistake in 1:58. Please recheck.

    • @djcsr
      @djcsr 5 років тому +1

      Yeah, that had me really confused until you started doing examples and doing Dx the right way. There is nothing worse than a great tutorial video with some little mistakes.

    • @PavanKalyan-bo6qp
      @PavanKalyan-bo6qp 2 роки тому

      do you really think he will?

  • @kemtsdaughter124
    @kemtsdaughter124 4 роки тому

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    @roberttech2568 5 років тому

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    @tengancornilius2534 5 років тому

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  • @murdoch1190
    @murdoch1190 Рік тому

    Please specify when a mistake is realised apart from that it seems to be a good video, that Dx equation mistake left me a bit stumped for a bit thinking its my stupidity. going to continue watching from the video now.

  • @jayjtrainer
    @jayjtrainer Рік тому +1

    why is it c2b1 - b2c1 at 2:08? I thought it should've been b2c1 - c2b1? The example at 5:15 doesn't do this

  • @Lawlite0
    @Lawlite0 2 роки тому

    thank you broo

  • @thapelorakau6697
    @thapelorakau6697 5 років тому +1

    Thank you.👌

  • @kaffuchino8244
    @kaffuchino8244 3 роки тому

    If the determinant D is zero, does it mean to say there is no solution for the given equations?

  • @damminh6350
    @damminh6350 5 років тому

    Omg thanks you very much , holy so ez to understand

  • @lilnardodavinci2521
    @lilnardodavinci2521 11 місяців тому +1

    there is an error 2:09 Dx is not =c2b1-b2c1 it is =c1b2-c2b1 just a small mistake if you know how to take determinant out of 2x2 matrix just knowing that matrix is
    Dx
    c1 b1
    c2 b2
    would be enough for you to solve it
    when he solves it with actuall numbers theres no errors there

  • @Engr-vy3in
    @Engr-vy3in Рік тому

    if Cramer works fine for 3x3 matric then why to use gaussian elimination which is a bit lengthy ?

  • @rashiddikumusah807
    @rashiddikumusah807 2 роки тому

    Can you find the determiner of a matrix whose rows and columns are different

  • @gianniskallionis6687
    @gianniskallionis6687 Рік тому

    On 2:07 you display that Dx is c2*b1- b2*c1 whilst it is the opposite. Dx= c1*b2-c2*b1

  • @ethiopiansadvibes4551
    @ethiopiansadvibes4551 3 роки тому +1

    33:40 ..............like were you watching me?????? cause i have all my problem gone cause of just one sign change ........'sigh'

  • @ryankeshet5820
    @ryankeshet5820 6 років тому

    Thank god for you

  • @fenkilabraha4660
    @fenkilabraha4660 5 років тому

    Amazing Tutor

  • @md.akibhasan5633
    @md.akibhasan5633 8 років тому +1

    Thanks ❤

  • @gidykoech1793
    @gidykoech1793 2 роки тому

    The best

  • @evrimklc7433
    @evrimklc7433 11 місяців тому +1

    At 17:00 can someone explain why the middle one is negative?

  • @leoking1653
    @leoking1653 11 місяців тому

    there is a mistake on the formula to calculate Dx (where you said : C2B1-C1B2)

  • @doyoarero5599
    @doyoarero5599 5 років тому

    Thanks sir

  • @edb452
    @edb452 11 місяців тому

    is the middle one at 17:00 always negative?

  • @njvits2183
    @njvits2183 3 роки тому +1

    I am not saying that I'm cramming for my college algebra but yeah I am..

  • @saththiyambharathiyan8175
    @saththiyambharathiyan8175 5 років тому

    why the determinant of 3 by 3 matrix is calculated in that way ? what is the intuition behind that.... I under stand 2x2 matrix determinant is obtained by elimination of variable...... But I do not understand the concept of elimination in 3x3 matrix...........

  • @yasemintopcu4574
    @yasemintopcu4574 4 роки тому

    Great..