PreCalculus - Matrices & Matrix Applications (33 of 33) Using Cramer's Rule to Find x=? y=? z=?

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  • Опубліковано 21 жов 2024

КОМЕНТАРІ • 207

  • @colortalks5133
    @colortalks5133 6 років тому +52

    Sir, you are KING! you are the best math instructor on youtube. I've been watching your videos since my freshman year and thanks to you I am graduating soon.

  • @cooldown6077
    @cooldown6077 Рік тому +11

    I finished the playlist today. I bet anything, this is the best series about matrices. Now I have a good understanding. Your videos are so good. No unwanted things. Just straight to the business and that's how I like it. You're giving a lot of knowledge within a short time. So students like us have more time to learn new things rather than wasting a lot of time into a one subject. You're a genius and a life saver. Look I know you're very busy. But still you make videos. That's really impressive professor. You have my full respect...
    😁

    • @MichelvanBiezen
      @MichelvanBiezen  Рік тому +8

      Thank you. It is comments like yours that keep us going. It is indeed a lot of work, but as long as students are helped by the videos, we'll keep going, God willing. 🙂

  • @mingfeng6963
    @mingfeng6963 8 місяців тому +3

    I watched all videos you did about matrix. These videos are very helpful for students learning. I am a father of my daughter. I learned much more matrix knowledge from you. I also taught my daughter matrix. Your classes for matrix is very clear and easy to understanding. Thank you so much. You are a super good math teacher.

    • @MichelvanBiezen
      @MichelvanBiezen  8 місяців тому +1

      Glad you found our videos and you found them helpful. 🙂

  • @MahdisFatimaMehdi
    @MahdisFatimaMehdi Рік тому +1

    Watched almost 4 videos before watching yours. You are the first one who made it so easy. Thank you so much Sir!

  • @joshuaonuko
    @joshuaonuko 11 місяців тому +2

    Thank you King. This made me understand what I could not understand for a week in 3minutes❤

    • @MichelvanBiezen
      @MichelvanBiezen  11 місяців тому +1

      Glad you found our videos and you found them helpful. 🙂

  • @torolfchess7535
    @torolfchess7535 3 роки тому +10

    Thank you so much!!!!
    Beautifully straight-forward & your handwriting's not exactly a disaster like most of us when we use white boards hahah
    Thanks again sir

  • @MLBIpa3032
    @MLBIpa3032 6 років тому +15

    Thank you for this, this clip helped me understand what I could not for 3 weeks!

  • @xAzrael_
    @xAzrael_ Місяць тому

    Great video, watched the entire playlist only wish there were eigenvalues and eigenvectors in this. Your explanations are so easy to understand. Thank you!

  • @divyabasera
    @divyabasera 6 років тому +6

    Thank you so much Sir, very kind of you :') Have my test tomorrow and now I'll be able to do well. Regards💐

  • @tanialehl6362
    @tanialehl6362 8 років тому +10

    this guy is a life saver! you're amazing omg thanks so much! :)

  • @bernxo4193
    @bernxo4193 7 років тому +3

    Thank you I understand it fully now, you made it very simple to understand 🙌🏾

  • @azopgaming3423
    @azopgaming3423 Рік тому +1

    Sir u r a GOAT thy best instructor I ever watched on youtube. Keep it up Sir

  • @saurabhraj2027
    @saurabhraj2027 5 років тому +1

    I wish i had a maths teacher like you.. thankyou

  • @kingarthur1077
    @kingarthur1077 3 роки тому +1

    you are a blessing first time ever i understand this crammers rule .i blame my lecture

  • @husseinaminkassem5312
    @husseinaminkassem5312 3 роки тому +2

    First time I see legend teacher like you

  • @shantiewantie14
    @shantiewantie14 5 років тому +4

    Omg you have helped me soooooo much!!! My lecturer gave us a hard solution to finding problems out but you have helped soo much. Im gonna ace this test tomorrow😫

    • @hk254lyt8
      @hk254lyt8 7 місяців тому

      Hello from the future. Did you ace your test?

  • @simpleways266.
    @simpleways266. 4 роки тому +1

    One of the great sir in the world

  • @richardandersen_
    @richardandersen_ 11 місяців тому +1

    so good la this man, thank you it is easier when you explain than my teacher

  • @ariefrachman4604
    @ariefrachman4604 Рік тому +1

    Sirrr, thank you so much for your educational video. It's very easy to understand for me with not mathematic background. Thank you so much!

    • @MichelvanBiezen
      @MichelvanBiezen  Рік тому +2

      Great! Glad you found our videos. 🙂

    • @ariefrachman4604
      @ariefrachman4604 Рік тому +1

      @@MichelvanBiezen yes, i was planning to watch some more of your videos to deepen my math knowledge. 😁

  • @thilinar7280
    @thilinar7280 11 місяців тому +1

    youre the best youre the king of maths thank you sir

    • @MichelvanBiezen
      @MichelvanBiezen  11 місяців тому +1

      Thank you. Glad you find our videos helpful. 🙂

  • @sheldonblackwood2117
    @sheldonblackwood2117 8 місяців тому +1

    Very Good video and your way of explanation is very good.

  • @rinnisdinie7078
    @rinnisdinie7078 2 роки тому +2

    Nice explanation. I could understand easily. Thank you so much sir

  • @MichelleCherop-g4g
    @MichelleCherop-g4g 10 місяців тому +1

    Wooow...Amazing teacher....Good work sir🎉🎉🎉

    • @MichelvanBiezen
      @MichelvanBiezen  10 місяців тому +1

      Thank you. Glad you found our videos. 🙂

  • @kennydawn2869
    @kennydawn2869 5 років тому +1

    Thanks sir , only because of you i understand this type of sum

  • @aleksandric8948
    @aleksandric8948 2 роки тому +1

    you always pull through, your're the man.

  • @tjhsapporo8749
    @tjhsapporo8749 5 років тому +15

    How do people come up with these things?!

  • @proto333
    @proto333 3 роки тому +1

    you are undoubtedly the GOAT. 🐐

  • @abogus8706
    @abogus8706 4 місяці тому +1

    Thank you sir!! you've made these concepts easy to grasp

    • @MichelvanBiezen
      @MichelvanBiezen  4 місяці тому +1

      You are welcome. Glad you like the videos

  • @tahafirjani5706
    @tahafirjani5706 2 роки тому +2

    terrific work professor! much appreciated 🤍

  • @nduga
    @nduga Рік тому +1

    Thanks. I have understood well all concepts

  • @jamalabdulwahid7303
    @jamalabdulwahid7303 4 роки тому

    In Arabic we have a famous verse of poetry said :
    قم للمعلم وأكفه تبجيلا كاد المعلم أن يكون رسولا
    Stand up for the teacher and give him veneration Because the teacher is almost a messenger ( prophet)
    Professor Biezen , really you deserve this verse.

  • @heso9828
    @heso9828 6 років тому

    Wow i can’t than you enough. Sir you just save my college life! Thank you God bless

  • @EzcanSofu
    @EzcanSofu 4 роки тому

    The universe of linear algebra is extremely beautiful.

  • @GlowupwithAno
    @GlowupwithAno 3 роки тому +1

    Awesome ur teaching way I like this.. M thanku soo much for making me this question easy for me. Thanks a lot...... 😍

  • @ninsiimakevin8317
    @ninsiimakevin8317 Рік тому +1

    Ur a very good lecturer 👏👏👏👏

  • @BufferOverflow_RSA
    @BufferOverflow_RSA 6 років тому +2

    You the man Van Biezen

  • @johnbrennan3372
    @johnbrennan3372 4 роки тому

    Very clear and easy to follow

  • @akankshasharma1178
    @akankshasharma1178 7 років тому +1

    Thnkew sir.finally I come to knw that ..how to solve equation by Cramer's rule😊

  • @cynch831
    @cynch831 2 роки тому +1

    Thank you a lot,, understood it one go ...

  • @stories7308
    @stories7308 5 років тому

    Easy to understand... thank you Sir 👍

  • @MohitSamantarayIS-
    @MohitSamantarayIS- 4 роки тому +1

    Sir you can calculate from bottom
    It is easy to find

  • @laticafoote9011
    @laticafoote9011 6 років тому +1

    Thank You very much, this video was definitely beneficial

  • @hasanmjmj
    @hasanmjmj 7 років тому +1

    Thanks you sir. Help for My Advance Studies

  • @kurigohan1010
    @kurigohan1010 10 місяців тому +1

    Sir, there is an error with your thumbnail, the answer to Dz should be -14, and not 14
    Great video by the way :D

  • @saraf8356
    @saraf8356 6 років тому +1

    Thank you so much sir, this video was extremely helpful

  • @nehamariah9541
    @nehamariah9541 4 роки тому +1

    Will the signs always be plus then minus and then plus? thanks so much

  • @ernestbeckham2921
    @ernestbeckham2921 3 роки тому +1

    Thank you professor 💖💖.

  • @meeraanil382
    @meeraanil382 3 роки тому +2

    Thanks a billion sir !

  • @mezbahuddinevan9490
    @mezbahuddinevan9490 6 років тому +1

    well explained sir. Thank you

  • @amarachiigboanugo3988
    @amarachiigboanugo3988 3 роки тому +1

    This is so understandable

  • @katemackenzie7119
    @katemackenzie7119 3 роки тому

    Thank you soooo much, I am not going to fail anymore!

  • @AmbaniMonique-io8kb
    @AmbaniMonique-io8kb Рік тому +1

    👏👏👏 well done 🥰 thanks alot 🙏

  • @AkosSam
    @AkosSam 7 років тому +1

    Isn't it better to find the determininant using the row that has a 0 in it to simplify the calculations we have to do?
    P.S. I really appreciate the work you do, you are awsome!!!

    • @MichelvanBiezen
      @MichelvanBiezen  7 років тому +1

      Yes, you can make the job easier by taking a different row. Try it and see if you get the same answer.

  • @rayanadam4762
    @rayanadam4762 3 роки тому

    Thank U Teacher 100%👍before this clip i didn´t know how to solve mtrces 3×3 but now😊 i can solve it very well

  • @sarahrashed7648
    @sarahrashed7648 5 років тому +1

    That's amazing. Thanks a bunch!

  • @anjalikrishna8667
    @anjalikrishna8667 4 роки тому

    Thank you so much .... So clearly I understood

  • @saigopisaigopi43
    @saigopisaigopi43 2 роки тому +1

    Thank You Sir Please Do More Videos Like This Sir 😊😊😊👏🏼🙏🏻🙏🏻👏🏼🤝🏻🤝🏻🤝🏼🤝🏼

    • @MichelvanBiezen
      @MichelvanBiezen  2 роки тому +1

      Are there specific cases that are not clear to you yet?

  • @Jaheemjb
    @Jaheemjb Рік тому +1

    Isn’t it supposed to be times -3 for the matrix 2 ??

    • @MichelvanBiezen
      @MichelvanBiezen  Рік тому +1

      Not sure which matrix you are referring to, but the answers in the video are correct. (You can always check by substituting the final answers back into the 3 equations and see if they match.)

  • @munangemmanuelnumfor8773
    @munangemmanuelnumfor8773 2 роки тому +1

    Thanks you really help me out

    • @MichelvanBiezen
      @MichelvanBiezen  2 роки тому +1

      Glad you found our videos and that they were helpful. 🙂

  • @superdahoho
    @superdahoho 7 років тому +4

    PREcalculus?
    I'm learning this in my linear algebra class which is 3 semesters after calculus
    :O

    • @MichelvanBiezen
      @MichelvanBiezen  7 років тому +3

      Yes, this is covered in pre-calculus and in linear algebra. Note there are a number of linear algebra playlists on this in this channel that go into much more detail.

    • @abdulahisaid7641
      @abdulahisaid7641 7 років тому

      superdahoho which facult you are in civil or computer science

  • @wardanaeem3803
    @wardanaeem3803 4 роки тому

    Thankyou you almost bald man with a red bow!!!!
    Saved my poor brain from thinking too much!!!!!😁😁

  • @gabrieloliva2276
    @gabrieloliva2276 6 років тому +1

    Great video ,thanks

  • @ibrahimaudu4437
    @ibrahimaudu4437 7 років тому +1

    thank you very much the video is very helpfull

  • @beytulk
    @beytulk 3 роки тому

    Thank you sir :) And happy teachers day

  • @Kodecco
    @Kodecco 7 років тому +1

    this helped a lot thank you

  • @sufyanali7108
    @sufyanali7108 10 місяців тому

    Why u doesn't change the sign of _5 in determinant??

  • @cowboyteacher5243
    @cowboyteacher5243 5 років тому +1

    Well done

  • @thomastse503
    @thomastse503 8 років тому

    will you make a series about properties of matrices and determinants?

  • @leshanelim9454
    @leshanelim9454 2 місяці тому

    thank you so much!! it helped me a bunch :))

  • @khanbhai6667
    @khanbhai6667 4 роки тому +1

    Hi sir you are very great

  • @abdelazizsaid7680
    @abdelazizsaid7680 5 років тому

    Thank you very much my amazing teacher

  • @SaneleSK.kunene
    @SaneleSK.kunene Місяць тому

    Moja chief 🔥

  • @xpattv
    @xpattv 3 роки тому

    So much Respect!

  • @madhusha24
    @madhusha24 2 місяці тому

    Thank you so much sir ❤

  • @magdalenebassey1268
    @magdalenebassey1268 4 місяці тому +1

    Thank you so much🎉🎉

  • @shiwamsah6501
    @shiwamsah6501 3 роки тому +1

    Thank you so much

  • @IQq8_
    @IQq8_ Рік тому +1

    Thank you ❤❤❤❤

  • @harrisonchimera2129
    @harrisonchimera2129 3 місяці тому +2

    Sir. It's not clear on board

    • @MichelvanBiezen
      @MichelvanBiezen  3 місяці тому +1

      We just checked the video and it appears clear to us. (there are setting that allow you to change the resolution)

  • @gayaniwithanagamage4356
    @gayaniwithanagamage4356 2 роки тому +1

    Thank You..

  • @yolandetheresa7146
    @yolandetheresa7146 Рік тому +1

    THANK YOU SOOOO MUCH !!!

  • @saurabhraj2027
    @saurabhraj2027 5 років тому +1

    Sir, what if the RHS of linear equation is 0?

    • @MichelvanBiezen
      @MichelvanBiezen  5 років тому +1

      You can solve it the same way. If the equations are consistent it makes no difference.

    • @saurabhraj2027
      @saurabhraj2027 5 років тому +1

      @@MichelvanBiezen but when replacing them with say X the result of Det(X) becomes 0 ..

  • @charityjeffery9511
    @charityjeffery9511 Рік тому +1

    Thanks..you sir❤

  • @askroni3284
    @askroni3284 7 років тому +1

    helpful method

  • @Philosjutsu
    @Philosjutsu 5 років тому

    1:30 Why are you just changing the signs here? Why was this not explained?

    • @MichelvanBiezen
      @MichelvanBiezen  5 років тому

      Good question. That is by definition of the determinant or for cross products of a matrix. But I never looked into why that is so.

  • @nashatarts9933
    @nashatarts9933 Рік тому +1

    Thank you

  • @ashnagurung3406
    @ashnagurung3406 3 роки тому +1

    Thnq so much sir

  • @muochruach3380
    @muochruach3380 Рік тому +1

    its nice dear

  • @ahmedajarmah8485
    @ahmedajarmah8485 5 років тому +1

    big thanks

  • @miajanepenas7013
    @miajanepenas7013 4 роки тому

    Thank you sir ❗

  • @ellenamon3391
    @ellenamon3391 3 роки тому +1

    Amazing

  • @neshofficialgaming5539
    @neshofficialgaming5539 2 роки тому +1

    Clear sir

  •  6 років тому +1

    thanks you so much.

  • @Dixbe89
    @Dixbe89 7 років тому +1

    Genuinely don't get how you got to 3 from "2 times, one minus the minus 2 which is a 3"......It has thrown me off because I can not work out how to get close to 3.....

    • @MichelvanBiezen
      @MichelvanBiezen  7 років тому

      Can you let me know at what time in the video you have this question?

    • @MichelvanBiezen
      @MichelvanBiezen  7 років тому

      I think I understand the question now, "2 times one, minus a negative 2" = 2(1) - (-2) = 3

  • @callmeej8399
    @callmeej8399 2 роки тому +1

    I thought you have to add + (-5)

    • @MichelvanBiezen
      @MichelvanBiezen  2 роки тому +2

      + (-5) = -5

    • @callmeej8399
      @callmeej8399 2 роки тому

      @@MichelvanBiezen gotcha it’s the small things that mess me up

  • @leetete1686
    @leetete1686 2 роки тому +1

    Thanks

  • @ElifArslan-l9g
    @ElifArslan-l9g 2 роки тому +1

    thanks a lot

  • @olorunseunenoch4175
    @olorunseunenoch4175 Рік тому +1

    Is it only plus minus plus

  • @priya24
    @priya24 7 років тому

    can i get solution fro 3x-y+2z=13;2x+y-z=3;x+3y-5z=-8

  • @aldrinkukukri9410
    @aldrinkukukri9410 Рік тому +1

    thank so so so much

  • @reineriocagatin1359
    @reineriocagatin1359 6 років тому +1

    Mabuang nko bayotttt!!!!
    Ahahaha!! Lord tabang