How To Find The Determinant of a 4x4 Matrix

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  • เผยแพร่เมื่อ 28 มิ.ย. 2024
  • This video explains how to find the determinant of a 4x4 matrix.
    Introduction to Matrices: • Intro to Matrices
    Adding and Subtracting Matrices:
    • Adding and Subtracting...
    Scalar Multiplication of Matrices:
    • Scalar Multiplication ...
    Solving Matrix Equations:
    • Solving Matrix Equations
    Multiplying Matrices:
    • Multiplying Matrices
    __________________________________
    Gaussian Elimination & Row Echelon Form:
    • Gaussian Elimination &...
    Gauss Jordan Elimination:
    • Gauss Jordan Eliminati...
    Gaussian Elimination With 4 Variables:
    • Gaussian Elimination W...
    Inverse of a 2x2 Matrix:
    • Inverse of a 2x2 Matrix
    Inverse of a 3x3 Matrix:
    • Inverse of a 3x3 Matrix
    __________________________________
    Determinant of 2x2 and 3x3 Matrix:
    • Determinant of 3x3 Mat...
    Determinant of 4x4 Matrix:
    • How To Find The Determ...
    Cramer's Rule - 2x2 Linear System:
    • Cramer's Rule - 2x2 Li...
    Cramer's Rule - 3x3 Linear System:
    • Cramer's Rule - 3x3 Li...
    ___________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +18

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
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    @georgesadler7830 2 ปีที่แล้ว +15

    MR. Organic Chemistry Tutor, thank you for an excellent video/lecture on Finding the Determinant of a 4x4 Matrix. This is a classic problem in old fashion Linear Algebra/Systems.

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  • @chepaulinus2495
    @chepaulinus2495 4 ปีที่แล้ว +13

    Wow ,now I can find the determinant of a 4*4, thanks sir.

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  • @pockyrice7418
    @pockyrice7418 4 ปีที่แล้ว +13

    bruh im taking pre calc online and I literally came across this today, but it’s a 3x3 matrix and the HW is due today.
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    • @JagexAnarchy
      @JagexAnarchy 3 ปีที่แล้ว +1

      I'm also in pre-calc. The way the book teaches it makes it much more complicated. This is so much easier

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  • @adritobiswas1982
    @adritobiswas1982 2 ปีที่แล้ว +4

    I don't comment generally but I read in Class 7. In my school, Cramer's rule should be in class 9 or something like that. Even I understood your lectures that is 2×2, 3×3 and now this 4×4 one. If you think I am lying, then I swear to God.Amazing! Teach like this!!!

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    @quintencraenen ปีที่แล้ว +1

    Very helpful and explained perfectly!

  • @miz3567
    @miz3567 3 ปีที่แล้ว +115

    It may be good practice to draw straight lines for determinant instead of square brackets. 5*[A] means different thing to 5*|A|

    • @ayrthhhn
      @ayrthhhn 2 ปีที่แล้ว

      :V

    • @PenandPaperScience
      @PenandPaperScience 2 ปีที่แล้ว +8

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      @abdullahsehgal1614 2 ปีที่แล้ว +3

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    • @aarohganjoo1676
      @aarohganjoo1676 2 ปีที่แล้ว +17

      @@abdullahsehgal1614 hey you have a point but proper notation is very important. A matrix and determinant are not the same thing, so it would be incorrect to use square brackets when computing a determinant

    • @nish3003
      @nish3003 2 ปีที่แล้ว +4

      @@abdullahsehgal1614 jeez, calm down dude, it was just a suggestion.

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    @esarapuharika1685 ปีที่แล้ว +2

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  • @seamusflannery3374
    @seamusflannery3374 2 ปีที่แล้ว

    This is a GREAT way to find determinants

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  • @anwar4227
    @anwar4227 4 ปีที่แล้ว +13

    One recommendation......you can use Sarrus rule for determinants and solve it quickly within 2 minutes

    • @yashjoshi2944
      @yashjoshi2944 3 ปีที่แล้ว

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    @dianalady3916 2 ปีที่แล้ว

    So much thank you for this!

  • @dermakol8543
    @dermakol8543 ปีที่แล้ว +8

    Recommend a bit of gaussian elimination - if you add third row to first and third row multiplied by 2 to second and fourth, you will get a nice (0, 0, -1, 0) column and you only have to calculate a determinant of one 3x3 matrix.

    • @marcelukeje3510
      @marcelukeje3510 4 หลายเดือนก่อน

      It doesn't work that way.
      It only works for equations

    • @dermakol8543
      @dermakol8543 4 หลายเดือนก่อน

      Yeah, it does, adding a multiple of a row doesn't change anything. The other row operations do, but it is still just a scaling by constant you can keep track of.

  • @frenglinnarah5176
    @frenglinnarah5176 3 ปีที่แล้ว +1

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    @sunilsahota2099 3 ปีที่แล้ว +1

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