How to Solve a Kirchhoff's Rules Problem - Matrix Example

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  • Опубліковано 9 кві 2012
  • ROW REDUCE LIKE DR SEUSS:
    Oh, all those numerous and nasty equations!
    All the plugging and chugging, it takes too much patience.
    I've got just the thing for such an awful occasion:
    It's mighty, it's sleighty! It's Gauss-Jordan Elimination!
    First, our equations enjoy preparation.
    Each variable is queued in ascending gradation.
    Once aligned and accounted, their nice numeral agents,
    Get bumped to a matrix in corresponding locations.
    Next, we apply a few matrix operations:
    Addition and subtraction. Division, multiplication.
    Yes, our rows are massaged with arithmetication,
    Until they're reduced to the simplest notation.
    Lo', all of our multiplex math manueveration,
    Concludes with a comely, concise configuration.
    The name of this sexy and subtle sophistication?
    She goes by Row Reduced Echelon Formation.
    To the left: a delightful diag-one-alation.
    To the right: our solutions, in column notation.
    Such a time-saving tool! Such a cool calculation!
    It's mighty, it's sleighty! It's Gauss-Jordan Elimation!
    My video on solving equations with a matrix: • How to Solve Equations...

КОМЕНТАРІ • 333

  • @OmriSama
    @OmriSama 9 років тому +193

    this video is INSANE. You make it look so easy and it's almost so motivating... until I go back to my problems.

    • @JesseMason
      @JesseMason  8 років тому +16

      +OmriSama My newer videos have more motivation juice. Come back and visit!

    • @orsanbogdan1073
      @orsanbogdan1073 5 років тому +9

      @@JesseMason why did you stop making these :(

    • @abongilemduduma1872
      @abongilemduduma1872 3 роки тому +3

      🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣

  • @mahadevankm2621
    @mahadevankm2621 6 років тому +9

    Real learning goes beyond the textbook, thank you for your creativity. Loved the way you explain.

  • @pllagunos
    @pllagunos 3 роки тому +2

    Wow. Kudos on making a great video. I find it amazing you were able to film the exercise and leave enough time to voiceover the content, that takes some incredible planning or amazing skills!

  • @iceiceisaac
    @iceiceisaac 8 років тому +1

    I've been stuck on how to solve this using linear algebra for a while.... you answered all my questions and more. Thank you so much! please keep making vids, its hard to find good videos like these the higher i go into engineering. Youre awesome

    • @JesseMason
      @JesseMason  8 років тому

      +iceiceisaac Glad to give you a hand and best of luck with your career in engineering!

  • @poofy1652
    @poofy1652 7 років тому +1

    I was just randomly searching for Kirchhoff's rules.....guess what!!!
    u r amazing sir.....just amazing

  • @EliCarlton
    @EliCarlton 3 роки тому +1

    Thank you! I kept messing up my matrix when i was doing these on my own. And instead of making a new current writing it in terms of the others is beautiful! learned a ton

  • @rishithole3473
    @rishithole3473 7 років тому +34

    I really wished my electrical teacher to be someone like you. Thank you so much for the video by the way!

  • @JesseMason
    @JesseMason  10 років тому +6

    Congrats, Dave! So glad to have been a help. Best wishes for a peaceful and prosperous journey!

  • @daveramos78
    @daveramos78 10 років тому +2

    THANK YOU SO MUCH!!! i passed my Physics class!!! this is a big help for me. More power to you Jesse Mason! God Bless!

  • @remembertomorrow2010
    @remembertomorrow2010 9 років тому +8

    This is the best explanation on UA-cam. Thank you! Make more!!!

    • @JesseMason
      @JesseMason  9 років тому +1

      Cheers, Michael! More on the way... =)

  • @meowyyyy4727
    @meowyyyy4727 8 років тому +2

    This helped a lot. I use Cramer's method though. But your tutorial is so easy to understand. Saved me a lot of time reviewing. Keep it up!

  • @anshi4076
    @anshi4076 11 років тому +2

    YOU MAKE ME LOVE PHYSICS MORE!
    YOU SHOULD POST A LOT OF VIDEOS!

  • @soumyalodha5805
    @soumyalodha5805 3 роки тому

    Thanks a ton! I have exam coming up next week and today I took up an assignment of which I thought I could literally solve nothing and fail but after watching this I am able to solve most of them!!

  • @ercant.6183
    @ercant.6183 2 роки тому +1

    You cleared all my doubts about how to choose current directions. Turns out we actually don't, hahah. Thank you so much!

  • @RB-ej8wk
    @RB-ej8wk 2 роки тому

    This video explains things so well thanks. I couldn't find any good explanation and I was so confused about the loop law

  • @ashishkumavat2907
    @ashishkumavat2907 7 років тому

    Thanks a lot!!!!! I was confused for about a year. Thanks for explaining.

  • @angelinoz5159
    @angelinoz5159 4 роки тому +2

    I love your videos, Jesse. Can you make one that details about the difference between how current flows through a short circuit and a fused circuit? This concept always confuses me. Thanks

  • @hastynut
    @hastynut 2 роки тому

    i learned the beauty of the kirchoffs law from you,sir....THANKS A LOT...

  • @nigelsandywell8403
    @nigelsandywell8403 5 років тому

    Thank you for explaining this subject perfectly for me .

  • @mijnkleinown
    @mijnkleinown 9 років тому +3

    This video helps a lot, now I really understand Kirchhoff's Rules! Thanks!
    I hope I do well tomorrow on the exam!

  • @VatsalGoyal
    @VatsalGoyal 6 років тому +1

    You, sir, are a life-saver.

  • @MrCSKATEc
    @MrCSKATEc 9 років тому

    This helped me understand crucial parts of kirchoffs laws which will help me in my finals! You just earned yourself a new subscriber xD love your videos so far !

    • @JesseMason
      @JesseMason  9 років тому

      Jaafar Harari I'm so pleased to hear that. Best of luck with your finals, Jaafer!

  • @lizzioy
    @lizzioy 6 років тому

    Thankyou for this video! I have a circuit with 3 loops. The first loop has a voltage source of 140 volt,( which is connected to ground from the negative side, a 20 ohm resistor and a 6 ohm resistor. The second loop had just a 5 ohm resistor and then the 6 ohm resistor from the 1st loop.The third loop has a current source of 18 A and the 5 ohm resistor from the second loop. When I apply the loop rule I cannot rewrite the equations so they aren't equal to 0. I cannot use that for gauss elimination, right? Is this even a technique I can use for such a circuit?

  • @raisasengupta3660
    @raisasengupta3660 2 роки тому

    Suddenly it's looking very easy . Thank You so much.

  • @toseefsaim8437
    @toseefsaim8437 7 років тому

    can you tell me how we finde kvl , kcl and currunt in a three loop circuit plzzzzz

  • @merylldiola2786
    @merylldiola2786 8 років тому +1

    nice! I learned something new. Time to apply what I didn't learn from my advance algebra class. 😂

  • @its_ihsan_mk7928
    @its_ihsan_mk7928 7 років тому

    if the determinant of the matrices is in negative. does its matters on solution of electronic circuit solution?

  • @kawa_bata
    @kawa_bata 8 років тому

    Helped me on my electrical engineering homework. Thank you!

  • @clydedanna3122
    @clydedanna3122 3 роки тому

    Is the process the same if I eliminate the 2nd voltage?

  • @louisedalde8775
    @louisedalde8775 8 років тому

    Pls keep making educational Videos like this, so helpful

  • @JesseMason
    @JesseMason  11 років тому

    Glad you liked it. Unfortunately, I don't foresee a Wheatstone Bridge video in the near future. Perhaps someday though.

  • @physicshacks6349
    @physicshacks6349 3 роки тому

    Can I also do this using crammers rule? I am getting
    I1=0.13 ampere.

  • @krisstuhfur
    @krisstuhfur 6 років тому +2

    HELLO, exam is tomorrow if you are free please someone respond
    why does @ 3:04 mark we can see in equation B we get a "+6" when we are going WITH the current but he says against the current
    but in equation C which is the same thing except the battery we "-8" ??

  • @juanmegias9147
    @juanmegias9147 2 роки тому

    Incredibly helpful. Thanks a lot! Hope I need some more help again!

  • @eddiejoseph9325
    @eddiejoseph9325 Рік тому

    why when you the voltage jumps the equal sigh and doesn't change

  • @rmnzlvr4248
    @rmnzlvr4248 6 років тому

    why do we multiply through by negative 1 for loop A and B???

  • @slaykweennnnnn
    @slaykweennnnnn 3 роки тому

    The position of the battery in loop 2 and 3 are the same , the loop are both clockwise , but why for LOOP 2 the voltage (4V) is positive but for LOOP 3(8V) the voltage is negative ?. Can u explain ? Thank you

  • @yashasviasthana
    @yashasviasthana 7 років тому

    can u plz explain how to find potential easily of a complex circuit?

  • @growzzzman
    @growzzzman 11 років тому

    why did you multiply by negative 1 for the first 2 equations (loop A and loop B)? I know that if I get a negative answer with the matrix that the direction I assumed for the current is the wrong way. I am trying to correctly enter the coefficients into my T1-84 calculator and do rref([A}) but I am not getting the correct signs.

  • @satvik23
    @satvik23 7 років тому

    sir can we solve this problem using a 3x3 matrix ? (3x3 multiplied with a column matrix xyz/I1I2I3 equals to the numerical value)

  • @CriticalThinker0890
    @CriticalThinker0890 7 років тому +1

    dont you think for node "C" the voltage should be +ve ???

  • @MrDands
    @MrDands 10 років тому

    Awesome explanation. Cheers from Brazil!

  • @primordialjade6807
    @primordialjade6807 4 роки тому

    can someone tell me why it 2:24 is -5? its a voltage increase why is it negative?

  • @TheOneBob1993
    @TheOneBob1993 10 років тому

    Why was the Loop C equation not multiplied by -1 like equation A & B @3:51?? Thank you

  • @henryjunior38
    @henryjunior38 11 років тому

    Do you have to first reduce your circuit before applying kirkoff rules, or you can applying kirkoff rules directly without reducing anything?

  • @OmegaSeoren
    @OmegaSeoren 9 років тому

    best explanation of Kirchoff's Law on YT , thanks!

    • @JesseMason
      @JesseMason  9 років тому

      thanks for the kind words, Omega!

  • @matthewzimmers1097
    @matthewzimmers1097 7 років тому

    So beautifully done. Thank you.

  • @Clintlegend
    @Clintlegend 3 роки тому +1

    Still watching it in 2020!!Very helpful bro!!!

  • @jeyven4142
    @jeyven4142 3 роки тому

    Around 4:05, why is the voltage -8 instead of positive 8. Isn’t it going with the flow?

  • @davidsmithcengmiet5493
    @davidsmithcengmiet5493 6 років тому

    Hi Jesse, a great video but when you multiply row 3 by 3/46, this means you have the following 3/46 x 161/5 for the constants column, this does not equal 7/10?, the 7/10 is the correct answer.

  • @rondavis236
    @rondavis236 Рік тому

    Wow , such a nice videos , cant believe its 7 years back . PLs respnd , want to check whther your are there or not

  • @salifyeo7116
    @salifyeo7116 7 років тому

    That technique is so fun and simple. Thanks Mason!!!

  • @JayKumar-lr1mu
    @JayKumar-lr1mu 7 років тому

    this was really very helpful! thank u soo much man! cheers to u! 😄

  • @saviourdelvin
    @saviourdelvin 4 роки тому +3

    Thank you very much i have liked it. I was actually going to fail my papers , now i count an A+

  • @akilanarasu7621
    @akilanarasu7621 4 роки тому

    Thanks for the poem too! Very easy to remember.

  • @rudra1095
    @rudra1095 9 місяців тому

    Why the 6I is positive in loop B?

  • @azan97
    @azan97 7 років тому

    why does he multiplied it by (-1) to remove all the negative? what if I leave it as it is as an equations by not removing the negative? will my answer still be the same? *Wondering*

  • @junaidwahab8353
    @junaidwahab8353 5 років тому

    it's great to learn from such an awesome and motivating but also a strange......teacher...
    thanks for your dedication.......

    • @JesseMason
      @JesseMason  5 років тому

      Strrrrrrrrrrange!? =) Cheers from Detroit, Junaid!

  • @DineshKumar-kp3yv
    @DineshKumar-kp3yv 7 років тому

    please sir tell me why you took -- 5i1--6i2--3i3 at 2:29?? why u took all negative if current is flowing clockwise please help tommorow is my test

  • @sophiajo989
    @sophiajo989 5 місяців тому

    Can the currents be found without using a matrix?

  • @ElIAS-sg6nc
    @ElIAS-sg6nc 7 років тому

    At loop B why +4 ?? It's going with the same direction as the current

  • @jayantideb6269
    @jayantideb6269 7 років тому

    Hi will you upload video on capacitors

  • @aliyayaya4065
    @aliyayaya4065 3 роки тому

    Love your voice while you explain it, tqvm. Hope you do good in now life

  • @mamenito
    @mamenito 11 років тому

    how can you verify that you completed the task well ?

  • @hamabakr6332
    @hamabakr6332 7 років тому

    thank you so much !!!!! you just made my day better !!!!!

  • @JesseMason
    @JesseMason  11 років тому +1

    I'm flattered!

  • @Textbook000
    @Textbook000 11 років тому

    im so happy i came across this video!!!! ahhhhhhhhhhhhh this was awesome!!!

  • @h._assan
    @h._assan 2 роки тому

    Why did you change the Negative and positive signs

  • @jhoserob
    @jhoserob 12 років тому

    So easy. you explain very clear. Muchas gracias por el video.

  • @danialariff674
    @danialariff674 7 років тому

    i love the way your explain stuff but do you mind on adjusting the lighting please. thanks

  • @jaigarg3990
    @jaigarg3990 7 років тому

    thanks it cleared all my doubts about this law

  • @whatnews4670
    @whatnews4670 9 років тому +2

    was verryyy helpful ! i thank you professeur Jesse =D

  • @gurleenkaur9601
    @gurleenkaur9601 8 років тому

    I really loved the explanation .

  • @evanhares8619
    @evanhares8619 8 років тому

    You changed your first two rows so that the first number in each was positive and you didn't for the third so it makes a big difference. Is that a mistake or if not could you tell me what I missed?

  • @JesseMason
    @JesseMason  11 років тому +2

    Ohhhhhhhhh so glad you liked it!!

  • @anneoni691
    @anneoni691 2 роки тому

    You are a joyful badass teacher 💪🙌

  • @meg3421starofworld
    @meg3421starofworld 9 років тому +2

    Thanks !! Please make more videos.

  • @sujadr6379
    @sujadr6379 6 років тому

    It helped me a lot buddy.You are awesome.👍👍👍👌👌👌👌

  • @danielastorga5528
    @danielastorga5528 6 років тому

    Thank You so much this video was extremely helpful

  • @JesseMason
    @JesseMason  11 років тому

    Not sure what you mean by "reduce" the circuit...

  • @barathvikraman9115
    @barathvikraman9115 5 років тому

    why are you using negative for resistance

  • @mtahoun
    @mtahoun 11 років тому

    THANK YOU SO MUCH !!! you are life saver ! that was really helpful

  • @uduchinelson6679
    @uduchinelson6679 5 років тому

    Yo @jessemason which is shorter the matrix method or the straight forward method to solve a simultaneous eqn

    • @JesseMason
      @JesseMason  4 роки тому +1

      Matrix if you can do it. (And solving the matrix in your calculator is even faster.) Cheers, Shadow!

  • @makamiro1192
    @makamiro1192 5 років тому

    Best teacher ever seen
    Thank u

  • @gurendersingh8867
    @gurendersingh8867 8 років тому

    This is best method I have ever saw. Thanks to share it! :p

    • @JesseMason
      @JesseMason  8 років тому

      +Gurender Singh Cheers, man!

  • @marianbucuci7273
    @marianbucuci7273 3 роки тому +1

    3:40, it seems like the source of current should be noted as positive in the loop C

  • @masmdy
    @masmdy 11 років тому

    Can you make a video to teach wheatstone bridge ?
    Btw, very helpful video. Thanks.

  • @Abdullah52271
    @Abdullah52271 4 роки тому

    shouldnt it be minus when the loop is against the current.....

  • @lukeauslender6494
    @lukeauslender6494 Рік тому

    Do you think the table is an appropriate way to format your answers in college? I’m still early in circuits, but I’ve never seen that!

    • @JesseMason
      @JesseMason  Рік тому

      Yes, and it makes calculations so much easier!

  • @marshalmurwirapachena4353
    @marshalmurwirapachena4353 3 роки тому

    Thanks so much ,its really awesome 👏👏👏💯💯💯

  • @abdullahzia1133
    @abdullahzia1133 7 років тому

    Thank you Jesse!

  • @aakankshajain9160
    @aakankshajain9160 8 років тому +50

    Now i see how useful matrices are! :D

    • @JesseMason
      @JesseMason  8 років тому +8

      +Aakanksha Jain My favorite use, actually.

    • @dimitarvel1441
      @dimitarvel1441 6 років тому

      is there a way to solve this without a matrix?

    • @lucas.n
      @lucas.n 6 років тому +1

      if you are into writing Computer Graphics programs, matrix knowledge can do pretty neat tricks too!!!

    • @freedom3229
      @freedom3229 5 років тому

      Yes, but I recommend watching a 15min video on Gaussian and Gauss-Jordan elimination in double speed... It is a much quicker method. The alternative is to set a system of equations and solve with simple algebra. (x+2y=3 and 2x+2y=3 subtract 2nd equation from the first to eliminate y, find the resulting x, plug it back in and find y.) Of course, a 3rd equation makes simple algebra much more time consuming. Engineering demands max ease.

  • @danielkipp1887
    @danielkipp1887 8 років тому

    great video, thanks for the help!

  • @deardaine9324
    @deardaine9324 7 років тому

    how do you assign polarities? :( Sorry, I'm really confused with the signs.. I cant move ahead with the lesson

    • @rashmikiranpandit8962
      @rashmikiranpandit8962 7 років тому

      Dear Daine he has also made mistakes in alloting signs to the voltages...u better ask someone else

  • @extremedry3379
    @extremedry3379 8 років тому +1

    the most confused part is about the battery 4V and 8V. I don't know how matter its polarity in the circuit. It makes me confused when trying to identify the loop and the way or current flows. Any can help?

    • @khajuraoo
      @khajuraoo 5 років тому

      I can help you but it is too late:D

  • @AyushKumar-il6ui
    @AyushKumar-il6ui 7 років тому

    very good and simple teaching technic

  • @luisv8887
    @luisv8887 Рік тому

    nice! i got to use something i learned from linear algebra!

  • @JesseMason
    @JesseMason  11 років тому +1

    Simplification. Helps when doing it by hand.

  • @roederco
    @roederco 7 років тому

    Awesome video! Thanks!

  • @azmatullah7546
    @azmatullah7546 8 років тому

    thanks for such a great video