Simultaneous Equations Matrix Method : ExamSolutions

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  • เผยแพร่เมื่อ 12 ก.ย. 2024
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    How to solve Simultaneous Equations using the Matrix Method.
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ความคิดเห็น • 203

  • @autonerecords1410
    @autonerecords1410 3 ปีที่แล้ว +23

    i have for some completely unknown reason taken math on for an attempt at getting into a engineering bachelor at 62. These videos are helping me get in deeper and deeper. Thankyou ..i think? Seriously great tutorial 👍

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 ปีที่แล้ว +14

    Mainly A-level. What you see at present is all I have. I intend to cover the further maths later this year.

    • @almanyanyukwenihango7896
      @almanyanyukwenihango7896 2 ปีที่แล้ว +1

      Sir I still don't understand how matrices work and I am about to face my exam

  • @shellymcdougall4320
    @shellymcdougall4320 6 ปีที่แล้ว +89

    Your explanations are so much more understandable than my teacher's explanation. Thanks a lot for all your help! ;)

  • @ozzyfromspace
    @ozzyfromspace 5 ปีที่แล้ว +25

    Thank you! I'm doing machine learning and we're right at the beginning, doing linear regressions and such, and we've gotten to the point where we're using normal equations to solve for the model parameters using matrices. I hadn't touched matrices in years really so I was really fuzzy on the mechanics. I appreciate the brush-up :)

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  5 ปีที่แล้ว +7

      Pleased to hear it has offered some help. Good to also hear about real life applications.

  • @TheEpicTechnology
    @TheEpicTechnology 8 ปีที่แล้ว +77

    you are a living legend

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 ปีที่แล้ว +10

    Well done and good luck at uni.

  • @malopemdluli5653
    @malopemdluli5653 ปีที่แล้ว +7

    I had difficulties understanding this, but you made it seem easier. I just want to thank you for giving your best for us students to do better. You are much appreciated.

  • @youcancallmeal7272
    @youcancallmeal7272 3 ปีที่แล้ว +11

    Great stuff mate thank you, it would be nice if you went a tiny bit slower but it is still better than 99% of the videos out there. Keep it up! :)

  • @Zulfurix
    @Zulfurix 8 ปีที่แล้ว +7

    Thank you! Getting last minute issues solved before my Further Maths GCSE :)

  • @muzaahaji5786
    @muzaahaji5786 2 ปีที่แล้ว +2

    Thanks allot, your explanation is so clear
    May d almighty bless d work of yr hand

  • @vitumbikowyclifngoma9509
    @vitumbikowyclifngoma9509 2 ปีที่แล้ว +3

    Wow.... So easy to understand..I've really grasped the idea easily. Am thankful

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 ปีที่แล้ว +1

    Yes

  • @meg_anthompson6300
    @meg_anthompson6300 10 ปีที่แล้ว +5

    Hi, I was wandering how would you work out this equation:
    5x+3y=36
    8x+2y=38

    • @madpheasant47
      @madpheasant47 8 ปีที่แล้ว +6

      Just the same way, x=3, y=7

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 ปีที่แล้ว +1

    Of course - go on my website.

  • @AHSK-yh5ch
    @AHSK-yh5ch 5 ปีที่แล้ว +2

    If for the values that switch would their signs switch as well. And if the signs that switch, what would happen if there is no sign to swap around

  • @birungisailvy8514
    @birungisailvy8514 3 ปีที่แล้ว +2

    I have seen the video but it is wonderful may God bless you with more years

  • @savannahhingeston9059
    @savannahhingeston9059 6 ปีที่แล้ว +16

    Only person who explained this properly

  • @baldeagle6113
    @baldeagle6113 4 ปีที่แล้ว +7

    Thanks a lot mate you really helped me

  • @jennielynthomas5341
    @jennielynthomas5341 6 ปีที่แล้ว +4

    What a legend u made it look soooooo easy luv this channel🤓🤓👌🏽

  • @eduardosilva4814
    @eduardosilva4814 6 หลายเดือนก่อน

    11 years later this video is still doing wonders :)
    Thank you for the explanation, your videos about matrices will be very useful on my linear algebra exam

  • @jayagnihotri5807
    @jayagnihotri5807 9 ปีที่แล้ว +2

    @meganthompson x=3 y=7.
    I did it lots of different ways, matrix method as Mr S demonstrated works out.

  • @mariamfatima5912
    @mariamfatima5912 5 ปีที่แล้ว +1

    thank you sooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo much

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  5 ปีที่แล้ว +3

      Myyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy Pleasure

  • @wattkris968
    @wattkris968 3 ปีที่แล้ว +6

    Thank u. I have a text in just a few hours and you made it easier than how my teacher teaches it

  • @qween1451
    @qween1451 6 ปีที่แล้ว +96

    Exam tomorrow 😭😒

    • @yolobaba99
      @yolobaba99 ปีที่แล้ว +9

      How was it lol

    • @OnyzXR
      @OnyzXR ปีที่แล้ว +15

      ​@@yolobaba99 that was 5 years ago bro😂

    • @joshuaeboh4233
      @joshuaeboh4233 ปีที่แล้ว +10

      @@yolobaba99was going to ask the same thing😂

    • @muneebhassan6064
      @muneebhassan6064 ปีที่แล้ว

      Lol

    • @mayowaolawepo
      @mayowaolawepo ปีที่แล้ว

      @@OnyzXR 😂😂😂😂

  • @leophelan6768
    @leophelan6768 2 ปีที่แล้ว +1

    great video I understood the textbook but I need to see it worked through and you provided it perfectly.

  • @UrayayiMwawonazawa
    @UrayayiMwawonazawa 5 หลายเดือนก่อน +1

    I don't know why but I chose to take Additional maths when l am already terrible in normal math but this might have helped me 😅😢🎉😂❤.

  • @mybishthing
    @mybishthing 12 ปีที่แล้ว +2

    can you please do one for matrices with no solutions, one solution, infinite solutions when there is an unknown constant in the square matrix!

  • @anonymoususer2255
    @anonymoususer2255 4 ปีที่แล้ว +1

    Thank you! Please never stop doing thisss😩

  • @GamingwithRAHUL-it4ny
    @GamingwithRAHUL-it4ny 5 ปีที่แล้ว +2

    Thanks man this helped me a lot today

  • @mahandavodi4016
    @mahandavodi4016 4 ปีที่แล้ว +1

    Thank you good sir. This video was a lot of help

  • @preciajerrick583
    @preciajerrick583 5 ปีที่แล้ว +1

    helpful esp in my last minute studies

  • @ayshamanal1736
    @ayshamanal1736 8 ปีที่แล้ว +3

    thank you! was a great help :)

  • @amitkshankar
    @amitkshankar 3 หลายเดือนก่อน

    Thank you - Brilliant
    Your video helped me to understand the concept in python :)
    import numpy as np
    A = np.array([[5,-2],[7,6]])
    c = np.array([[16],[-4]])
    print(np.linalg.inv(A).dot(c))

  • @aliciaramkaran5273
    @aliciaramkaran5273 8 ปีที่แล้ว +1

    What does IYMS stands for?

  • @btgkeim039
    @btgkeim039 9 หลายเดือนก่อน

    When changing A into inverse , weren't you supposed to change signs of the major diagonal?

  • @king0vdarkness
    @king0vdarkness 6 ปีที่แล้ว +1

    for 3x3 do you have to do another method?

  • @amoscheruiyot1639
    @amoscheruiyot1639 2 ปีที่แล้ว +2

    Well grasped legend

  • @austinpasit3952
    @austinpasit3952 2 ปีที่แล้ว +2

    You’re the lifesaver

  • @WatchmanEl
    @WatchmanEl 3 ปีที่แล้ว +1

    Thank you Sir.
    this helps alot.

  • @YashVerma_twistedsoul
    @YashVerma_twistedsoul 8 ปีที่แล้ว +1

    So what if our equation was a singular matrix, we couldn't find the values of x and y then?

  • @obaidloveyou
    @obaidloveyou 9 ปีที่แล้ว +1

    great exlplanation thank you very much

  • @kylemclean9293
    @kylemclean9293 4 ปีที่แล้ว +2

    Thanks m8 great vid

  • @_ttoottaa
    @_ttoottaa 3 หลายเดือนก่อน

    Thankyouuuu this helped me for my math final❤

  • @zeroitedono2547
    @zeroitedono2547 3 ปีที่แล้ว +1

    thank you sir you helped me

  • @shilpasomani1090
    @shilpasomani1090 ปีที่แล้ว

    I love your videos and it is better than my school

  • @alexkamanga7143
    @alexkamanga7143 ปีที่แล้ว +1

    Kudos... Simple and easy

  • @namibwarzone514
    @namibwarzone514 ปีที่แล้ว +1

    Thanks u. So helpfull

  • @ShahidMehmood-rz4rp
    @ShahidMehmood-rz4rp 2 ปีที่แล้ว +1

    Your a best teacher

  • @agogirl88
    @agogirl88 7 ปีที่แล้ว +2

    Thank you so much, sir!

  • @shahzebkhan6801
    @shahzebkhan6801 5 ปีที่แล้ว +1

    Is this GCSE Higher or am I at the wrong place ??

  • @JohnSesay-h1m
    @JohnSesay-h1m หลายเดือนก่อน

    thank you sir may God bless you

  • @trikto9120
    @trikto9120 3 ปีที่แล้ว +1

    This tutorial was really useful

  • @EmekaTalksTech
    @EmekaTalksTech 9 ปีที่แล้ว +2

    excellent!

  • @qistina.3990
    @qistina.3990 3 ปีที่แล้ว +7

    Gordon ramsay teaching maths-????

  • @Hara101
    @Hara101 5 หลายเดือนก่อน

    Me and my friend here struggling in class , this is very helpful🙏🙏🙏

  • @saadiyamujeeb8629
    @saadiyamujeeb8629 4 ปีที่แล้ว +1

    very complicated explaination

  • @EnduranceObot-m4m
    @EnduranceObot-m4m 28 วันที่ผ่านมา +1

    You are amazing Sir

  • @whitej96
    @whitej96 8 ปีที่แล้ว +1

    great videos as always. thanks

  • @kaitsimbiredanson4446
    @kaitsimbiredanson4446 ปีที่แล้ว +2

    thanks for thee good explanation

  • @eliseratcliffe2729
    @eliseratcliffe2729 11 ปีที่แล้ว +1

    Hi, I was just wondering,when I tried this out before you explained it, it did (16, -4)*(inverse) but this obviously didn't work. Is it always the case that the inverse comes before the matrix you're multiplying? Thanks for such great videos by the way! :D

    • @lamaa.3232
      @lamaa.3232 2 ปีที่แล้ว

      Yes, inverse always comes first

  • @C39SHARKDRAKE
    @C39SHARKDRAKE 5 หลายเดือนก่อน

    Thanks for your help man!

  • @jayagnihotri5807
    @jayagnihotri5807 9 ปีที่แล้ว

    ExamSolutions
    Sir is it possible to have a simulataneous equations that cannot be solved by matrices which has no solutions, one solution, infinite solutions and where there is an unknown constant in the square matrix?
    Finally can there be imaginary roots for matrix equations?

    • @Playlist_Two
      @Playlist_Two 2 ปีที่แล้ว +1

      Not all pairs of simultaneous linear equations have solutions:
      If the equations are inconsistent,
      (their graphs are parallel and thus do not cross)
      or, if the equations are dependent,
      (the graphs coincide and thus do not cross at a single point)
      the determinant will be zero.
      If the determinant is zero, there will not be a solution.
      I know this answer is literally 7 years too late but someone else peeping the comments might be interested. 🤣

  • @HaroonKhan-jk3fh
    @HaroonKhan-jk3fh 7 ปีที่แล้ว +6

    What a legend

  • @hgg219
    @hgg219 9 ปีที่แล้ว +1

    I much prefer this method for solving simultaneous equations. Will this work for all simultaneous equations? Or only for those whose inverse exists?

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  9 ปีที่แล้ว +1

      This method works for linear equations. ie of the form ax + by = c and yes, where the inverse exists which is when the determinant does not equal zero.

  • @sciencematters3282
    @sciencematters3282 ปีที่แล้ว

    Nice clear videos. I have done the same for university level on my channel.

  • @gracebwakya5493
    @gracebwakya5493 5 ปีที่แล้ว +1

    Thank you

  • @sir_rom8816
    @sir_rom8816 3 ปีที่แล้ว +1

    Thanks..was helpful

  • @ammarmehmood2592
    @ammarmehmood2592 6 ปีที่แล้ว +1

    Thankyou.

  • @SiwaleWezzie
    @SiwaleWezzie ปีที่แล้ว

    ❤❤❤thank you 😊 very much 🙏 for making life 🙏 easy

  • @daninyemba9470
    @daninyemba9470 6 ปีที่แล้ว +1

    So helpful

  • @cynthiaamani7800
    @cynthiaamani7800 3 ปีที่แล้ว +1

    Thank you I did it 😊

  • @zackzuzu
    @zackzuzu 3 ปีที่แล้ว +1

    thank you i like this

  • @alisondavies6173
    @alisondavies6173 5 ปีที่แล้ว +1

    Dude thx sooo much

  • @HenryChimwaza
    @HenryChimwaza 6 หลายเดือนก่อน

    Thanks for this 😊

  • @Chocolatelyrics392
    @Chocolatelyrics392 2 ปีที่แล้ว +1

    Thanks dear teacher

  • @nurwahidah9716
    @nurwahidah9716 8 ปีที่แล้ว +1

    what if the questions want it to solve using simultaneous equations ?

  • @LearnWithFarinaAslam
    @LearnWithFarinaAslam 4 ปีที่แล้ว +1

    👍🏻

  • @forma1x997
    @forma1x997 ปีที่แล้ว

    explained it better than my teacher thanks

  • @yowanyowan5168
    @yowanyowan5168 3 ปีที่แล้ว +1

    Thanks a looot❤️❤️❤️❤️

  • @prithaknepal2013
    @prithaknepal2013 3 ปีที่แล้ว +1

    Thank you sir

  • @jaced5989
    @jaced5989 9 หลายเดือนก่อน +1

    I followed step by step and still got, -10.7 , -9.6 for
    2x + 3y = 18
    3x + y = 13
    The answer is supposed to be 3, 4
    Idk how I got mine…….

  • @afroninja9914
    @afroninja9914 4 ปีที่แล้ว +1

    Love you😍💋👍🏻you explain things soo nice

  • @bagarchowk6696
    @bagarchowk6696 3 ปีที่แล้ว +1

    Thank you so much sir.Tommorrow is my board exam from 8 a.m.And i am watching this video at 10 p.m today😅

  • @PhomoloPaulPali
    @PhomoloPaulPali 3 หลายเดือนก่อน

    How did you find 16 and -4

  • @Tirga
    @Tirga 12 ปีที่แล้ว +1

    lol do you have any videos on math A levels?

  • @user-ro3ti2gi9f
    @user-ro3ti2gi9f ปีที่แล้ว

    Thank you❤

  • @roukyntentie490
    @roukyntentie490 2 ปีที่แล้ว +1

    Thanks

  • @sayidfagare2419
    @sayidfagare2419 5 ปีที่แล้ว +1

    Simultaneous equation by matrix

  • @maindepth8830
    @maindepth8830 2 ปีที่แล้ว +1

    very helpful

  • @tharushipoornika1437
    @tharushipoornika1437 ปีที่แล้ว

    ❤️🥺 thank u so much

  • @merchantscommunity-h6o
    @merchantscommunity-h6o ปีที่แล้ว +1

    Thanks brooh

  • @shizakanza8796
    @shizakanza8796 4 ปีที่แล้ว +1

    THANKSSSSDS BESSTRTT

  • @empresssqueen3026
    @empresssqueen3026 4 ปีที่แล้ว +1

    Thank u

  • @looserlooser5442
    @looserlooser5442 3 ปีที่แล้ว +1

    Love from India

  • @bothwellmutingwende8021
    @bothwellmutingwende8021 2 ปีที่แล้ว +1

    Helpful

  • @ClovisPETOH
    @ClovisPETOH 4 หลายเดือนก่อน

    With this explanation, the gce ol is in our path by the grace of God 🎉🎉🎉

  • @nursing830
    @nursing830 2 ปีที่แล้ว +1

    Tq

  • @priyankahrpriyankahr4752
    @priyankahrpriyankahr4752 3 ปีที่แล้ว +1

    Tq sir

  • @dayuriii
    @dayuriii 5 ปีที่แล้ว +1

    Confused

  • @EddieRenton
    @EddieRenton 2 ปีที่แล้ว +1

    You are a god