How To Find The Determinant of a 4x4 Matrix

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  • Опубліковано 19 січ 2025

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +30

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      same, I understand him more than anyone else,

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    @ounie6230 Рік тому +159

    You've made this so simple, I can't believe how simple it is. Thank you so much.

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    @SarcasticLampr4y 4 роки тому +209

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  • @georgesadler7830
    @georgesadler7830 3 роки тому +17

    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.

  • @pockyrice7418
    @pockyrice7418 4 роки тому +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.
    I did not expect you to make a tutorial on how to do this. Freaking clutch man!!

    • @JagexAnarchy
      @JagexAnarchy 4 роки тому +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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    @yohane.premium 10 днів тому

    thank you so much, your job is amazing ! I'm a french speaker but I understood clearly all the video! keep going to make our studies easier and more success to you

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  • @adritobiswas1982
    @adritobiswas1982 3 роки тому +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!!!

  • @hadeerrashad5486
    @hadeerrashad5486 4 роки тому +15

    EXCELLENT explanations!! And thanks A LOT for telling us about the website

  • @chiviza
    @chiviza 11 місяців тому

    My professor speaks perfect english but I understood nothing when he showed this in the lecture. 40 seconds in with your video and I already get it. Thank you soooooo much.

  • @chepaulinus2495
    @chepaulinus2495 4 роки тому +13

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

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    @ไข่ไก่X2 2 роки тому

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  • @royalfinest
    @royalfinest Місяць тому +1

    Matrix is easy to work with but one of the most difficult to memorize after the class is over due to tons of components and terminology. One saving grace for me is “array” 😂

  • @darbi6290
    @darbi6290 2 роки тому +1

    Thanks, man. That was more helpful than 5 hours of suffering in university. You so cool)

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    @ElBernardProfessional 6 місяців тому +1

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    @pauleglwadyseboutou9584 Рік тому

    Thanks a lot I have an end semester exam tomorrow and your video has remind me what I forgot. 🙏🏽

  • @miz3567
    @miz3567 3 роки тому +116

    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 3 роки тому

      :V

    • @PenandPaperScience
      @PenandPaperScience 3 роки тому +8

      That is correct :)

    • @abdullahsehgal1614
      @abdullahsehgal1614 2 роки тому +3

      cut him some slack , like u wouldn't be here if u knew more then him

    • @aarohganjoo1676
      @aarohganjoo1676 2 роки тому +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 роки тому +4

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

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    @DhedoDhedo 6 місяців тому

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    @kefilwegabonakemo8960 4 роки тому +4

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    @knkworld6765 3 роки тому

    Thankyou so much sir it's a great help for me . Respect and love from India (Kerala)

  • @dermakol8543
    @dermakol8543 2 роки тому +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 11 місяців тому

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

    • @dermakol8543
      @dermakol8543 11 місяців тому +1

      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.

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    @jaelmora5588 2 роки тому

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    @amogusgusamo5591 10 місяців тому

    The best teacher. Thank you.

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    @Katinkas.vindue 4 роки тому +14

    My class had a lot of problems with this so my teacher said, "I guess it will be in the exams". We all laughed it off, but oh boy, we should have listened

  • @shandlermejos2646
    @shandlermejos2646 2 роки тому +3

    Nice video as usual, please keep uploading more videos, you are helping us a lot. Thank you.

  • @seamusflannery3374
    @seamusflannery3374 3 роки тому

    This is a GREAT way to find determinants

  • @anwar4227
    @anwar4227 4 роки тому +14

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

    • @yashjoshi2944
      @yashjoshi2944 4 роки тому

      Will you elaborate..... Put a video make your own channel that would be nice! #from India🇮🇳

  • @NaiduRocks-xy9ft
    @NaiduRocks-xy9ft 6 місяців тому

    Solving by this method is heaven.tq man🙌

  • @revygoth
    @revygoth 3 роки тому +1

    THANK YOU. Exam in less than 2 hours. Lets goo

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    @steveaustine3269 4 роки тому +5

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    @Yayayaya-rq5sw 2 роки тому

    I can't believe I did it.your Awesome 👍. Where were you last semester! I'm taking the class again however it all good . I have a better understanding now. Thank you so much

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    @Resinart_and_caligraphy Рік тому

    Thanks for all free lessons

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    @miafilipovic2524 4 роки тому

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    @Anduuu077 9 місяців тому

    very good, straight to the point video

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    @mrdracula7822 4 роки тому +2

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  • @nup_pun
    @nup_pun 4 роки тому +26

    or you can simply transform it into an upper triangular matrix by performing row-elementary operation and then by multiplying its diagonal elements we get the determinant.

    • @physician8683
      @physician8683 3 роки тому +3

      that's gaussian which is essentially better than cramer's but he's using cramer's rule

    • @nanananabatman7056
      @nanananabatman7056 2 роки тому

      @@physician8683 hes not using cramer, or else he would replace the values with the result to get the values

    • @nanananabatman7056
      @nanananabatman7056 2 роки тому

      with what do you multiply the diagonal ?

    • @noahsibahi-jackson8757
      @noahsibahi-jackson8757 Рік тому

      @@physician8683 No he is not, that isn't crammer's rule

  • @RME76048
    @RME76048 2 роки тому +3

    At 10:18 you said 318 was the determinant for a 3x3 matrix. It is 4x4 if I am not mistaken. VERY helpful, BTW! Thanks!!!

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    @muniradanish8510 2 роки тому

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    @esarapuharika1685 2 роки тому +2

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    @yonatanmechal9497 3 роки тому +2

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    @Vicodinlord 4 роки тому +4

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    @frenglinnarah5176 4 роки тому +1

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    @kingarayaankitff6942 2 роки тому +1

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    @quintencraenen 2 роки тому +1

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  • @sergosdeoliveros8033
    @sergosdeoliveros8033 2 роки тому +1

    a comment for the algorithm out of thankfulness

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    @cindyatuhaire 3 роки тому +2

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    @masivuyedangazele7316 3 роки тому

    Lol, held me down in high school. Still holding me down in University 🤝

  • @rohinihrudhay5600
    @rohinihrudhay5600 2 роки тому

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    @patiencemare7855 4 роки тому +2

    This was really helpful

  • @CMSLine8
    @CMSLine8 Рік тому

    Love from India. I have fully understood after going through your video. I used to become very uncomfortable when I saw 4×4 order determinants.

  • @_ndot
    @_ndot 2 роки тому +2

    Explanation on the signs for each operation.
    Everything should be an addition and the sign comes from multiplying (-1)^(row-index + column-index). So, if you were to use the second row you should have:
    2 x ((-1)^(2+1)) x |minor at M2,1| + 5 x ((-1)^(2+2)) x |minor at M2,2| + ...
    2 x (-1) x |minor at M2,1| + 5 x (1) x |minor at M2,2| + ...
    -2 x |minor at M2,1| + 5 x |minor at M2,2| + ...
    This part gives you the sign for row 2 column 1: ((-1)^(2+1)) = -1.
    The easiest way to think about it, is to add the indices if its odd is - if its even is +.
    Row 2 Column 1 => 2 + 1 = 3 => odd -
    Row 2 Column 2 => 2 + 2 = 4 => even +
    Row 2 Column 3 => 2 + 3 = 5 => odd -
    Row 2 Column 4 => 2 + 4 = 6 => even +
    ...

  • @Salamanca-joro
    @Salamanca-joro 7 місяців тому

    Thank you man this is really helpful

  • @jomeltopiq5370
    @jomeltopiq5370 2 роки тому

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  • @khanmengui3709
    @khanmengui3709 4 роки тому

    Thank you so much. You have made me understand more better

  • @moussachouka5305
    @moussachouka5305 10 місяців тому

    Your method is vero great congratulation

  • @happydong8086
    @happydong8086 4 роки тому +1

    This was very helpful thanks

  • @amarkrish9275
    @amarkrish9275 2 роки тому +1

    Nice
    Nice
    And very nice
    Thank you very much.
    Sir
    Thank you very much.
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    All the best
    Sir
    All the best.
    08/04/2022
    Friday

  • @snooptech
    @snooptech 4 роки тому +1

    Thanks for letting me know the signs alternate

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    @StanInteger 3 роки тому

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    @osameyanmorenike1059 2 роки тому

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    @teferashimbulo3274 Рік тому

    Excellent Tutor