How to Solve a Kirchhoff's Rules Problem - Matrix Example
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- Опубликовано: 8 фев 2025
- 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...
this video is INSANE. You make it look so easy and it's almost so motivating... until I go back to my problems.
+OmriSama My newer videos have more motivation juice. Come back and visit!
@@JesseMason why did you stop making these :(
🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣
Real learning goes beyond the textbook, thank you for your creativity. Loved the way you explain.
Congrats, Dave! So glad to have been a help. Best wishes for a peaceful and prosperous journey!
instablaster...
I really wished my electrical teacher to be someone like you. Thank you so much for the video by the way!
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
+iceiceisaac Glad to give you a hand and best of luck with your career in engineering!
I was just randomly searching for Kirchhoff's rules.....guess what!!!
u r amazing sir.....just amazing
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!
THANK YOU SO MUCH!!! i passed my Physics class!!! this is a big help for me. More power to you Jesse Mason! God Bless!
This is the best explanation on RUclips. Thank you! Make more!!!
Cheers, Michael! More on the way... =)
This video helps a lot, now I really understand Kirchhoff's Rules! Thanks!
I hope I do well tomorrow on the exam!
+mijnkleinown Cheers!
You cleared all my doubts about how to choose current directions. Turns out we actually don't, hahah. Thank you so much!
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
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!
best explanation of Kirchoff's Law on YT , thanks!
thanks for the kind words, Omega!
You, sir, are a life-saver.
YOU MAKE ME LOVE PHYSICS MORE!
YOU SHOULD POST A LOT OF VIDEOS!
Now i see how useful matrices are! :D
+Aakanksha Jain My favorite use, actually.
is there a way to solve this without a matrix?
if you are into writing Computer Graphics programs, matrix knowledge can do pretty neat tricks too!!!
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.
Glad you liked it. Unfortunately, I don't foresee a Wheatstone Bridge video in the near future. Perhaps someday though.
i learned the beauty of the kirchoffs law from you,sir....THANKS A LOT...
This video explains things so well thanks. I couldn't find any good explanation and I was so confused about the loop law
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!!
Still watching it in 2020!!Very helpful bro!!!
Thank you very much i have liked it. I was actually going to fail my papers , now i count an A+
Suddenly it's looking very easy . Thank You so much.
Ohhhhhhhhh so glad you liked it!!
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 !
Jaafar Harari I'm so pleased to hear that. Best of luck with your finals, Jaafer!
3:40, it seems like the source of current should be noted as positive in the loop C
nice! I learned something new. Time to apply what I didn't learn from my advance algebra class. 😂
Best teacher ever seen
Thank u
it's great to learn from such an awesome and motivating but also a strange......teacher...
thanks for your dedication.......
Strrrrrrrrrrange!? =) Cheers from Detroit, Junaid!
Simplification. Helps when doing it by hand.
Pls keep making educational Videos like this, so helpful
Love your voice while you explain it, tqvm. Hope you do good in now life
Thanks a lot!!!!! I was confused for about a year. Thanks for explaining.
I'm flattered!
That technique is so fun and simple. Thanks Mason!!!
YES! Glad to hear it!!
Wow , such a nice videos , cant believe its 7 years back . PLs respnd , want to check whther your are there or not
Incredibly helpful. Thanks a lot! Hope I need some more help again!
Thank you for explaining this subject perfectly for me .
Helped me on my electrical engineering homework. Thank you!
You are a joyful badass teacher 💪🙌
This is best method I have ever saw. Thanks to share it! :p
+Gurender Singh Cheers, man!
Thanks for the poem too! Very easy to remember.
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
Thank you sir. I like your teaching method very much.
Cheers from Detroit, Salman!
thank you so much !!!!! you just made my day better !!!!!
thanks it cleared all my doubts about this law
I really loved the explanation .
So easy. you explain very clear. Muchas gracias por el video.
very good and simple teaching technic
Stellar example! Thanks!
+DisheveledSuccess Thanks, DS!
Awesome explanation. Cheers from Brazil!
I₁-(I₂ -I₃) = I₁ -I₂ +I₃ So, basically a wrong sign altered whole matrix
The 8v on the lower right corner?
So beautifully done. Thank you.
a 2 week discussion in college summed up in 10 minutes.
You're very welcome, BDX.
nice! i got to use something i learned from linear algebra!
thank you sir it was so helpful for me to face my sem exam
Thank you so much from 2021 students 🙏
It helped me a lot buddy.You are awesome.👍👍👍👌👌👌👌
i was carried blown by the comments which i thought this video will be so helpful to me but i can barely see what you writing Sir.
The video quality is indeed poor.
Not sure what you mean by "reduce" the circuit...
Wow that's so easy peasy for me using the matrix concept here in big eqn to solve
Thank you Jesse!
Thank You so much this video was extremely helpful
great videos to teach kicrhoff matrix
+Pandya Mohit Thanks, Pandya!
Instead row-reducing, it's is much much easier to use Kramer's rule instead, especially for this kind of setup.
Would you make a video about using Cramer's Rule for Kirchoff's, Dimitri?
Jesse Mason I'm not sure if you're being sarcastic or serious lol, but it was simply a remark I wanted to make for solving a system of equations when pressed for time :)
Dimitri Topaloglou
No but seriously, its a good idea. He is providing you an opportunity for an initiative while helping others in the process. Why don't you take it? Best wishes. :)
this is fantastic. it really helps me
Glad to hear it, Ezekiel!
Great video! Thanks for your help.
Cheers, Clauds!
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" ??
sir why the C doesn't get multiply by -1?
yea the 8 v on the lower right corner
You can multiply it. Either way the answer will be the same
Thanks so much ,its really awesome 👏👏👏💯💯💯
this was really very helpful! thank u soo much man! cheers to u! 😄
thanks for such a great video
was verryyy helpful ! i thank you professeur Jesse =D
very concise, i love it
Thank you, P69!
Ohh Thankyou so much .. You make it so easy and simple .. :) Thank god I know how to put matrices in calculator :3
vj garin "Things should be made as simple as possible, no simpler." -Uncle Al ;)
Why did you change the Negative and positive signs
im so happy i came across this video!!!! ahhhhhhhhhhhhh this was awesome!!!
Thanks !! Please make more videos.
Hey I love your videos, it's really well explained. But why don't you use Cramer method to solve these equations ? By simply finding its determinants, you can find the solutions (you spare time and space). When I have to solve a linear system with Gauss Pivot, it takes about 10 minutes when it only takes 3 with Cramer method. I think you should show that methods to those who are not comfortable with Gauss method :).
Anyway, keep going, these video are just priceless !
+bertrand bouillon Hi Bertrand. I used Gauss-Jordan because it's one of the first techniques learned in a Linear Algebra course. The Cramer method is definitely faster but physics folks are less likely to remember how determinants function. Thanks for the compliment and suggestion!!
+bertrand bouillon Besides, less buttons to push and you effectively and efficiently derive an answer with less possibility for error; thus, using a matrix in inherently the better choice.
Can the currents be found without using a matrix?
thank u sir for making it 'SIMPLE AND INTERESTING' :-)
Thanks, Kajal!
Cramer's rules would be easier to solve these equations tbh
at 5:14 its meant to be 21/10 and not 7/10 right? You only divided the RHS of the equation by 46 and not multiply it by 3/46
i love the way your explain stuff but do you mind on adjusting the lighting please. thanks
why when you the voltage jumps the equal sigh and doesn't change
is this solvable by normal algebra or is it going to be hard ? I did not take linear algebra yet
Yes; engineering majors prefer matrix, but if you like another( Cramer’s rule or straight Algebra)method like an APP, then go for it!
Awesome video! Thanks!
This is the most beautiful video I've ever seen
THANK YOU SO MUCH !!! you are life saver ! that was really helpful
Why does current rotating cloclwise in loop c? When it's direction is + to -? Explain plzz
Thank you man
Looking for videos to show my calc-based physics EM labs, immediately upvoted for the cute/awesome "teach me" logo!
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
Thank you soooo much for this!
Glad you liked it, Sol!
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?
I can help you but it is too late:D
The world literally froze while watching the lesson.
When do we use junction rule? And when we don't? Pls answer thanks 😊
Every time we analyze a circuit using Kirchhoff's. Cheers, Mory!
@@JesseMason Okay thank you! Lol 😆
great video, thanks for the help!