Solving Matrix Equations

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  • Опубліковано 9 лют 2025
  • This precalculus video tutorial provides a basic introduction into solving matrix equations. It contains plenty of examples and practice problems on solving equations with matrices.
    Matrices - Free Formula Sheet: bit.ly/3UE9Cmk
    Matrices - Video Lessons:
    www.video-tuto...

КОМЕНТАРІ • 146

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +13

    Matrices - Free Formula Sheet: bit.ly/3UE9Cmk
    Matrices - Video Lessons: www.video-tutor.net/matrix.html

  • @bottleofgreed4415
    @bottleofgreed4415 4 роки тому +133

    A true guide on math subjects. Not like other articles where they just write about weird unreadable equations with no proper explanation.
    Watching this really makes us learn it fast.

  • @notchildish
    @notchildish 5 років тому +338

    Wow. This is what I failed in high school? Howww? It makes so much sense now. God I wish I could redo high school

  • @Xukkus
    @Xukkus 2 роки тому +17

    My maths teacher “teaches” us about matrices as if he think we already know it all. He brain dumps everything on the whiteboard and expects us to follow. Some of us just don’t understand it. Someone’s talent with maths isn’t based upon how much they already know, but how well their ability to learn things is, and he just doesn’t give us that opportunity. Thanks for this, really helped.

  • @georgesadler7830
    @georgesadler7830 3 роки тому +7

    MR. Organic Chemistry Tutor, thank you for another solid Linear Algebra video/lecture.

  • @royrolls457
    @royrolls457 Рік тому +1

    best teacher ever

  • @jupiterchris2709
    @jupiterchris2709 2 роки тому +5

    This is the most incredible and easiest video on solving matrix. Thanks a lot

  • @dehanbadenhorst1398
    @dehanbadenhorst1398 4 роки тому +42

    You make it so easy to comprehend, thanks so much

  • @TheAlbaniaGaming
    @TheAlbaniaGaming 5 років тому +71

    Hello, just wanted to say i love your videos and they are really helping me with matrices. I noticed that you haven't posted a video about Rank and Range though, i think that you should!

  • @CounterCultureWISE
    @CounterCultureWISE 3 роки тому +2

    Your voice is soothing. Thanks for these!

  • @danaeclarke3590
    @danaeclarke3590 Рік тому +2

    I'm here bc i have a math exam in 4 days and let me say you taught me better than all my math teachers

  • @maxwellvukeya731
    @maxwellvukeya731 6 років тому +12

    THANK YOU SO MUCH, I ACTUALLY FOUND IT HELPFUL....IT HAS ABOLUTELY HELPED ME..

  • @chepaulinus2495
    @chepaulinus2495 4 роки тому +12

    Sir thanks very much for helping not only student's but even people who are not schooling, because you provide just exactly what we want, I wish you where my teacher , because since I started watching your video I eventually become a genius in both mathematics and physics, thanks once more, may God bless you.

  • @among7129
    @among7129 Рік тому

    Just wanna thank you coz really I had missed out on my lecture of matrices it was giving me had time but now I can do it 🙏 .

  • @mayanksoni214
    @mayanksoni214 10 місяців тому +1

    Thank you, your videos are helping me a lot.

  • @xiaotan2105
    @xiaotan2105 4 роки тому +6

    Great instruction. Thank you!

  • @samueldemelash5126
    @samueldemelash5126 Рік тому

    Best UA-cam channel thank you

  • @jatirijhatjhat
    @jatirijhatjhat 2 роки тому +1

    you are saving me. thank you

  • @brycentacos
    @brycentacos 4 роки тому +2

    very help ful video thnaks for your help

  • @abugslife2461
    @abugslife2461 4 роки тому +10

    Thank you!! Getting through linear algebra because of you!!

  • @scmane1975
    @scmane1975 5 років тому +4

    Thanks it really helped me a lot 😊😊

  • @internetcarly
    @internetcarly 2 роки тому +9

    who else is here because this type of question was on the ACT and you never learned it?

  • @deborah.o.stephen
    @deborah.o.stephen 2 роки тому +2

    God bless you Sir

  • @HassanYKhan
    @HassanYKhan 3 роки тому +1

    Very easily explained. Tumbs for you 👍👍

  • @mutintamuchindu5184
    @mutintamuchindu5184 4 роки тому +13

    Not exactly what I was looking for but you really are a good teacher, thank you so much.
    But am kindly asking how i can solve a metrics problem where by i have a variable in the matrix, for example
    A=(1 4) and and B(5 3) then asked to solve for "y"
    (3 y)

  • @justdont_peekme
    @justdont_peekme 3 роки тому +1

    Thank you sir your work is appreciated.

  • @riles404
    @riles404 3 місяці тому +1

    this really helped !!!

  • @rootjim1
    @rootjim1 5 років тому +4

    Since you start with numbers in the two "example" matrices implies that you're going to tie it into your equation. I'll use your method without the 2 first matrices since you got a positive result. I'm working with augmented matrices, inversion, multiplying matrices etc. I'd like to see your logic since it works. I could resolve the original equation with arithmetic methods but it IS about matrices. Thank you.

  • @tinashechuchu744
    @tinashechuchu744 Рік тому

    Great explanation. Thank you.

  • @Saeedalikhann
    @Saeedalikhann Рік тому

    this video was very helpful. thanks bro

  • @davino78
    @davino78 Рік тому +1

    Wow, thank u so much

  • @siyakubongafortune5470
    @siyakubongafortune5470 3 роки тому

    You have always been the best, thank you so much so much ❤️

  • @patiencekimz5042
    @patiencekimz5042 3 роки тому +1

    Thanks bro 😀😀

  • @Az__2012
    @Az__2012 Рік тому +5

    Why does the scalar matrix turn to positive after multiplying?

  • @the_burger
    @the_burger 2 роки тому +1

    Wow, this is way easier than I thought

  • @enemyproductions
    @enemyproductions 5 років тому +2

    thanks bro

  • @prescottzomb3427
    @prescottzomb3427 3 роки тому +1

    How about
    Given matrix x=(0 -1)
    (-3 2)
    Find B if x² =B+x

  • @Estoult
    @Estoult 6 років тому +4

    merci

  • @BoluwatifeElufidipe
    @BoluwatifeElufidipe 8 місяців тому

    Thank so much ❤❤❤❤

  • @zindycangaming9851
    @zindycangaming9851 7 місяців тому

    Thank you sir❤

  • @chilli881
    @chilli881 Рік тому +1

    Consider Cayley Hamilton Theorem also

  • @ogoreigns1554
    @ogoreigns1554 8 місяців тому

    Thank you, atleast now l can say that l know maths

  • @mavisdom-animeonpiano
    @mavisdom-animeonpiano 6 років тому +10

    Thanks I didn’t pay attention in class 😂

  • @lanivelo.lagramalifers3695
    @lanivelo.lagramalifers3695 4 роки тому +4

    Where did you get the 3A and the 2B?

  • @RKKorou4747
    @RKKorou4747 Рік тому +2

    What if the variable matrix X had a coefficient A which is another given matrix? How will I solve that one?

  • @RichardHundertmark-u9v
    @RichardHundertmark-u9v Рік тому +1

    quick question: why is a positive sign left over?

  • @FashionforgirlsMehindeandshoes
    @FashionforgirlsMehindeandshoes 8 місяців тому +13

    Who watching this video in Year 2024

  • @gabegutz1151
    @gabegutz1151 5 місяців тому +1

    2:59 sounds like @TheOrganicChemistryTutor bout to drop a song with The Weeknd

  • @frankprince5647
    @frankprince5647 6 років тому +1

    thank u

  • @frederickbayona5852
    @frederickbayona5852 Рік тому +1

    How did the 3 became -3 in the 2B - 3A? Is the operand before the 2nd given Matrix should adapt the operand sign before it?

    • @asurgamingsquad8485
      @asurgamingsquad8485 Рік тому

      I can help, but you need to pinpoint the exact time of the step you are confused by

  • @nou6197
    @nou6197 4 роки тому +2

    what software does he use to draw.

  • @Kkg0993
    @Kkg0993 2 дні тому

    Me watching in 2025 my best teacher .

  • @pst.leonardtero8232
    @pst.leonardtero8232 5 місяців тому

    Atleast I've learned something 😌

  • @dorafoldesi1475
    @dorafoldesi1475 3 роки тому +3

    Why did you add the two matrices instead of subtracting them in the first example?

    • @oyunboldganbaatar7501
      @oyunboldganbaatar7501 3 роки тому +1

      because he already used the negative sign in the equation. it automatically turns it into a plus sign.

    • @dorafoldesi1475
      @dorafoldesi1475 3 роки тому

      @@oyunboldganbaatar7501 Thanks!

    • @faithrichard4342
      @faithrichard4342 3 роки тому

      @@oyunboldganbaatar7501 thanks i

  • @eliottrogers5494
    @eliottrogers5494 3 роки тому

    It’s fucking 3 am and my homework is due 5 hours later

  • @irene991
    @irene991 Рік тому

    Why do we divide by negative 2 at 3:52
    ?

  • @ronymeri4744
    @ronymeri4744 4 роки тому +2

    At 1:56 can anyone elaborate why we put a + in front of the matrix ?

    • @janieduran2301
      @janieduran2301 3 роки тому

      Does it mean that if it's + sign, it should be negative(vice versa) after multiplying?

  • @samsam6457
    @samsam6457 6 років тому +6

    Where did 3A came from?

  • @anetorjustina6566
    @anetorjustina6566 Рік тому

    Pls how do you get the number you used for the equation
    The 6B and the 2A

  • @savage5_5
    @savage5_5 4 місяці тому +2

    Me watching this in 2024 😐

  • @bwbs7410
    @bwbs7410 5 років тому +2

    you only did easy ones. how do u solve for one with a matrix as a coefficient of X

  • @BEBLRwanda
    @BEBLRwanda 3 роки тому

    Hey i was watching this video but am asking where did you get this 6A and 4B,??

  • @Jendawy
    @Jendawy Рік тому +1

    why does he switch -2 to + after multiplying by -2

  • @Herrie006
    @Herrie006 5 місяців тому

    I have a problem with this.
    I don't really believe in being able to divide through when two numbers are in subtraction.
    I guess that's why I got different answers when I tried to do the 6A-2x=4B
    So please can you explain more under this comment.
    Thank you

  • @rosangapachuau7841
    @rosangapachuau7841 10 місяців тому

    Sir, one question! Can we just directly write 3A+X=2B as X=2B-3A without substracting 3A+X=2B by 3A?

  • @PrinceRubenJohnJoya
    @PrinceRubenJohnJoya 6 місяців тому

    an hour before my quizz😂

  • @priceymate3386
    @priceymate3386 2 роки тому

    3:55 why are you dividing by -2

  • @tres3392
    @tres3392 Рік тому

    nakakatuwa kasi wala talaga napasok sa utak ko

  • @JaluelAchak-ke5zj
    @JaluelAchak-ke5zj Місяць тому

    But where you bring this x sir? 🥺🥺

  • @miarayokiy8780
    @miarayokiy8780 3 роки тому +2

    If i have matA and matB and i have the equation AC-CA=B
    How to find the matrices C ?

    • @Aishu-f9d
      @Aishu-f9d 11 місяців тому

      It depends upon the order of A and B right??

  • @africtv5842
    @africtv5842 9 місяців тому

    bro thank you

  • @choti2268
    @choti2268 5 місяців тому

    2B-3A
    Feels that + should not be there?

  • @muhamedidrizi6451
    @muhamedidrizi6451 2 роки тому

    2:00 and 5:00 Can someone explain why does the - sign changes to + sign??

  • @trisha.gonzales
    @trisha.gonzales 3 роки тому +1

    how do you find x when it is inside a matrix with a number?

    • @hafsaabdi9326
      @hafsaabdi9326 3 роки тому

      Even me am searching that the whole day

  • @Muttisuri
    @Muttisuri 2 роки тому +1

    If you are subtracting 2A throughout the equation to get rid of it on the left side, wouldn't you also need to subtract 2A from X ?

    • @Jendawy
      @Jendawy Рік тому

      2A - 2A = 0 so its gone

  • @fayikzhou3755
    @fayikzhou3755 3 роки тому +2

    I don't know how to get 3A + X = 2B ? 🤔

    • @amkai2928
      @amkai2928 2 роки тому

      X= 2B-3A🤦‍♂️

    • @EasyDaliyEnglish
      @EasyDaliyEnglish Рік тому

      It’s the GIVEN question u get given the A matrix and the B matrix and you solve for X

    • @Az__2012
      @Az__2012 Рік тому

      ​@@amkai2928 but why did he then add the matrix?

  • @zy_all
    @zy_all 9 місяців тому

    not me watching this during class -

  • @Blue_moon1
    @Blue_moon1 4 роки тому +4

    I don’t understand how he got 2b

  • @RianMansaray
    @RianMansaray 6 місяців тому

    Where do we find 2B

  • @Godakuri
    @Godakuri 5 років тому +3

    Why are you adding the matrices if the equation states you need to subtract them

    • @walterb.7717
      @walterb.7717 5 років тому +3

      That's what I thought at first, but he multiplies the Marix by the Negative coefficient (-2), therefore, he adds the remaining matrices.

    • @rachaeladdo5302
      @rachaeladdo5302 4 роки тому

      When he multiply all the elements in the matrix by a negative number, the sign in front is positive.

    • @ronymeri4744
      @ronymeri4744 4 роки тому +1

      @@rachaeladdo5302 why though

    • @MM-np4md
      @MM-np4md 4 роки тому +1

      @@ronymeri4744 I was confused too

    • @ZoTrAcK
      @ZoTrAcK 3 роки тому

      I was confused for like 20 minutes also on why multiplying the 2nd matrice by -2 and replacing the formula instead of multplying it by 2 and doing the substraction after regularly.

  • @007thematrix007
    @007thematrix007 2 роки тому

    @ 0:33

  • @mysteryboxxd7897
    @mysteryboxxd7897 3 роки тому

    Jazakallah

  • @DEATHWISHVQ
    @DEATHWISHVQ 11 місяців тому

    Why did you multiply Matrix B by 2? Where does the 2 come from this wasn’t explained thoroughly for my understanding. Ok we subtract each side by -3A, 3-3A cancels out, cool, 2B - 3A = -1. Ok what happens with the -1? Then suddenly we have to multiply by 2 but why?

    • @Max-eg5gc
      @Max-eg5gc 7 місяців тому

      The 2 came from the random equation, nothing else.

    • @DEATHWISHVQ
      @DEATHWISHVQ 7 місяців тому

      @@Max-eg5gc 😩

  • @kurdduct6936
    @kurdduct6936 3 дні тому

    👍👍👍🥇

  • @MuhammadbabaMaiwada
    @MuhammadbabaMaiwada 9 місяців тому

    But why is that u convert -2 to positive 3,pls can anyone help me

  • @AssumptaNdezedremon
    @AssumptaNdezedremon Місяць тому

    No division

  • @ccc-hk6gz
    @ccc-hk6gz 4 роки тому +1

    Ue Ar Veri Quiet

  • @NamoGabre
    @NamoGabre Рік тому

    Please 🙏🥺 can you help me ?

  • @nimsaramalinthi6343
    @nimsaramalinthi6343 2 роки тому

    My givan equation is 3A + 5B + 2x = 0. It can not devide by 2 in both side to get X. How to get X = ......... From this given formula to solve my prob.. 🚫Plz plz plz help me...

  • @vedadgrozdanic9443
    @vedadgrozdanic9443 6 років тому +1

    how would you solve: (AA^T)^-1 * ((B^T * (AA^T))^T

  • @topgamerrajvardhankolape5071

    I am king👑

  • @tewahmillisha9014
    @tewahmillisha9014 9 місяців тому

    I to I don't understand

  • @Beksvia
    @Beksvia 9 місяців тому +1

    Webale nyo

  • @PexHonder-z9b
    @PexHonder-z9b 5 місяців тому

    ♥️♥️♥️♥️💪😎

  • @temitayooluwarantimi
    @temitayooluwarantimi 4 роки тому +2

    I really don’t understand how 6+[-8]=-2 and 27+[-6]=-21

  • @sthupdthoughts
    @sthupdthoughts 7 місяців тому

    Yes i am commenting on all of his vids complamenting him
    no i am not correcting my spellings and YES I WILL CONTNUE THIS

  • @NamoGabre
    @NamoGabre Рік тому

    I don't understand 😢😢

  • @Watehellll
    @Watehellll 6 місяців тому

    GAK FOKUS, SALFOK MULU SAMA SUARANYA😞😞