Solving Systems Using Cramer's Rule
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- Опубліковано 10 лип 2024
- We've learned a few ways to solve systems of linear equations, but now that we know how to find the determinant of a square matrix, we are ready to learn one more! It's called Cramer's rule, so let's see how this works.
Script by Howard Whittle
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Thank you, Professor Dave. Wonderful series and clearly explained. It's obvious that lots of effort went into preparing the material and making it so accessible. Amazing job!!
he knows a lot about all kinds of stuff , professor dave explains!
he knows a lot about the science stuff , professor dave explains!
Wow.🤓so proud we have our own rule.🧐if only I could understand it🙃
You use too many emojis
Lmfao
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wow the Mr. Cramer Rule himself
Kkkkkk,that's good!,and super!
Love your videos and I am a number one fan! You saved my life in math. Subscribed !
Professor dave, is as my friends and I would say: goated. Thank you for your hard work, it definitely does not go unappreciated.
why are you the only one on youtube that can explain it so well?!
Thanks a lot professor Dave !!
Dear professor Dave,
May Allah bless your soul and grant you all the good things you ever wished for. Thank you for saving us poor tortured engineers over the years. You're out superhero man
Thank you so much for your math videos!!! Keep them going!
Thank you for the video! But what's the principle under this Cramer's rule?
Professor Dave never fails to explain!
Thank you Professor .
Thank you sooooooo much for this video 🙏🙏🙏
I've been watching older Professor Dave vids. This is the first one I've seen with short hair. Looks good. And the vid is good, as usual.
what kind of monster watches math videos for leisure
@@krizh289 An average math enthusiast, such as me.
Thank you so much for the useful lesson!
Can you do a video on the quadratic formula
GOATED!!!!🐐
Thanks! This helped
thank you amazing video
You rock, Professor Dave. Thanks 😂
thanks alot man this really helped
can you o the same for 3x3 matrix using same variables
Thank you so much!!!
Your videos are my life saverr🥲
it was nice if you would have used x.y.... instead of x1 and x2.... any how very good explaination
Love the new hair
Hi, in the comprehension |A|=9 to me, i tries many times but i have always the same result, what am i doing wrong?
Thanks.
I also have 9
Me 2
@@sara-janepalisie255 It's 3....PEACE!
Next rule: if you square all the terms then take the determinant of each 3 by 3 matrix created by adding each column then invert those matrices you can find the transposition of one of the terms in the solution
Thanks 🥹🤍
Short Hair Dave starts here. :D
His short hair looks awesome too.
Some woman probably had cut his hair while he was asleep. Imagine his reaction when he awoke. 😱
A cool trick my professor taught is how to solve a system with fewer equations than variables - if you treat one of the variables as a constant and add it to the right-hand side, you can solve it in the same way and end up with two variables expressed in terms of the third.
Is not the determinant of A2 is 25?
Thank you Doctor!
Hi Professor!
How to find the consistency of system of linear equations with three variables?
A system is consistent if it has greater than or equal to 1 solution
Thank you!
Have you put this tutorial in any playlist?
yep it's in the big math playlist as well as the linear algebra playlist
Professor Dave Explains Thank you very much. I will check out the playlist. Btw, I love your tutorials and thank you for making them.
Professor Dave Explains I have learned Crammer Rule. Yay! Thank you for the tutorials.
@@pinklady7184 why tf are you so excited, Imma gonna kick
@@anonymous9217w2 You need to be put back into your place it seems...
really helpful
Thank you
To be honest gauss jordan is faster than cramer. Cramer is good for small systems. Very good explanation nonetheless
Plz upload more physics videos
I think I prefer this to row operations. I’m not smart enough for the latter
Hi Proff. Dave , You are looking like Indian actor RANBIR KAPOOR in your new look.......
By the way , nicely explained
Seems like a question with a 4x4 matrix would take at least 10 minutes to solve if we're solving it using this method 😅 (and 10 minutes is quite fast)
It took some mathematician 20 years to come up with and they expect high schoolers to learn it in a week
Confused with how this is easier for 10 equations with 10 variables when getting determinants is such a hassle for bigger matrices.
Lets gooooo i did 🎉🎉 i will get 100 in the final inshallah
6:46 X=1 Y=-2 Z=3...PEACE!
Thank you professor 😀☺️ your videos are right to the point and very easy to understand
Hey guys, I'm just wondering but, am I the only one who's watching this just because I actually want to learn math by myself and not because of school or any dumb test I have tomorrow? (Not even gonna mention how at school I'm not even learning this stuff yet lol)
Nice haircut 💇♂️
What? Cramer's is " speed of light" I d do that instead!
😮
nice hair cut dude, love u
who is this? where is my dave?
Id rather use cramers rule than reduce a matrix for every matrix i can. Reducing sucks.
5:47 i think the determinant is 20 not 12
Assuming you're referring to |A| as opposed to |A2|
|A| = 2 det[3 -1, 2 2] - 1 det[0 -1, 1 2] +1 det[0 3, 1 2]
(for clarity, I'm separating the rows of each matrix by a comma since I can't really type a matrix nicely on UA-cam.)
= 2(3*2 - negative1*2) - 1(0*2 - negative1*1) + 1(0*2 - 3*1)
= 2(6+2) - 1(0+1) + 1(0-3)
= 16 - 1 - 3
= 12
@@mason.11 why you wrote + not - in + 1(0*2 - 3*1)
You cut your hair😳😳
I don't really get how those answers are appearing from 5:50
He took the determinant of the matrix A1, A2,A3
Haha seeing u with short hair caught me off guard lol
Now, how does this prove the flat earth?
Chibaba ichi😅😅😅
Cute ❤
Shows how to solve the simple problem throws extra variables and another row with no explanation
Please Promote Sir
Appreciate your videos but just to let you know that u have no difference than other teachers cuz u juat explain a bit and leave the hard examples for us to study