Cramer's Rule - 3x3 Linear System
This precalculus video tutorial provides a basic introduction into cramer's rule. It explains how to solve a system of linear equations with 3 variables using determinants of 3x3 matrices.
Introduction to Matrices: • Intro to Matrices
Adding and Subtracting Matrices:
• Adding and Subtracting...
Scalar Multiplication of Matrices:
• Scalar Multiplication ...
Solving Matrix Equations:
• Solving Matrix Equations
Multiplying Matrices:
• Multiplying Matrices
__________________________________
Gaussian Elimination & Row Echelon Form:
• Gaussian Elimination &...
Gauss Jordan Elimination:
• Gauss Jordan Eliminati...
Gaussian Elimination With 4 Variables:
• Gaussian Elimination W...
Inverse of a 2x2 Matrix:
• Inverse of a 2x2 Matrix
Inverse of a 3x3 Matrix:
• Inverse of a 3x3 Matrix
__________________________________
Determinant of 2x2 and 3x3 Matrix:
• Determinant of 3x3 Mat...
Determinant of 4x4 Matrix:
• How To Find The Determ...
Cramer's Rule - 2x2 Linear System:
• Cramer's Rule - 2x2 Li...
Cramer's Rule - 3x3 Linear System:
• Cramer's Rule - 3x3 Li...
___________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections
Пікірлер: 440
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzread.info/dash/bejne/i4t829GvlKvXm8o.html
I never add comments but I just wanted to say that you've literally had my back since day 1. In high school I have been watching your chemistry videos for years, and your maths ones too. Now, years later, while already in my second year of university studying economics, you still somehow manage to help me with so many things. I genuinely cannot thank you enough.
@taladabbagh1827
2 жыл бұрын
Ok
@kylewilhite4162
2 жыл бұрын
Same dude!!!
@jamorant7132
2 жыл бұрын
Fr
@endy_011
2 жыл бұрын
amogus
@wonderman8537
Жыл бұрын
Patreon
My man, I have been pursuing an Electrical Engineering degree since 2017. You've literally saved me during home works, tests, and quizzes. From Trig, to calculus 3, to linear algebra, to DiffEq, and now even into systems and signals! You have helped me and so many other people dude! You're quite possibly the most underappreciated academic asset the information age has ever seen! THANK YOU!!!
@iluvyunie
Жыл бұрын
hope you're still going stronk dude
@epikman7073
11 ай бұрын
There’s a fucking calculus what. Man Idk what’s ahead of me I’m in Alg 2 rn 😢
@TripleC_Lifts
5 ай бұрын
@@epikman7073 theres a 5 & 6 they like to call advanced cal 1& 2😭
@yeoslovelyblu
5 ай бұрын
@@epikman7073😭😭
This guy is one of the most important persons in this nation. The government should pay him he’s carrying the whole country at this point. I was in the library the other day and listened to his voice because someone was watching a video. Now I’m here watching one of his videos. Been helping me since high school. This also proves professors should do a better job teaching 😂.
You accompany me in the loneliest of study times, much love, keep it up, no homo.
@likea24inchrim
3 жыл бұрын
sus
@kidus_tv
3 жыл бұрын
sus
@freudbrahms254
3 жыл бұрын
Screw you guys
@NormanYeung19
3 жыл бұрын
pause
@frijolex2509
3 жыл бұрын
hits too close to home :,,)
"The Organic Chemistry Tutor" ....my math and physics savior. Keep it up!
This made a lot more sense than the pages of notes we got from our teacher... thank you
@cecilianyangu6790
4 жыл бұрын
I agree with you... The notes I Also received didn't make sense
@neilandrews4097
3 жыл бұрын
yes
@cryptotare
3 жыл бұрын
You're right! I also came here because this person first clear basics and then tell rules or something else. In this way it's easy to remember
@whatafinese561
2 жыл бұрын
My lecture is an ass he keeps the notes for himself
@christianabrokwa6780
2 жыл бұрын
Facts
I can always find a better explanation here than from any of the math teachers or professors that I have ever had. I study Computer Engineering and you've helped me through every calculus and electrical engineering course, I don't even take chemistry.
You have literally saved me. Thanks to you I actually have a chance of graduating in December! Bless you. Keep up the wonderful work
@oreokid6882
2 жыл бұрын
Hey how the graduation thing going?
@FarooqAhmadiub
2 жыл бұрын
kzread.info/dash/bejne/aKmXzM2OnpabidY.html
I though Cramer's rule will be faster but damn it is longer... I suggest for those who want to resolve 3*3 to do x=A-1*b where A-1=ajoint(A)/determinant(a)
Found this channel during my school exam days, then again at college exam days, then again at my university entrance exam, then again during my 1, and 2 years, and now my exams are here again, and so is your channel. Just wanted to say, you are doing something that is highly appreciated by all students and non-students. Thank you!
someone actually thought about this... like Cramer was like okay im just gonna put all these numbers her select one delete the others multiply like that, then add them and in the end exchange a with d b with d and c with d and there's the answer
@javierconcepcion7677
3 жыл бұрын
In fact he did not think like that, there is a pretty logical reason why this rule just works. I recommend you the 3Blue1Brown’s video about this. It is called “Cramer’s rule explained geometrically” or something like that
@rubeneduardooseguedagomez8303
2 жыл бұрын
@@javierconcepcion7677 wrong, he was high as fuck, all mathematicians were and are high as fuck
@Matt-ii7hf
2 жыл бұрын
@@rubeneduardooseguedagomez8303 Yes, this man did a hit of PCP, fought off the thought police, and solved this system of equations
I can’t explain how much more helpful this is than my actual lectures
The best channel about chemisty I recommended all students in my university to watch this channel Igot high mark in (innorganic) when.i studied on your videos
@neilandrews4097
3 жыл бұрын
yes
@mahimmarufuzzaman3588
3 жыл бұрын
Not only chemistry this man knows everything
@wytemusicinc987
3 жыл бұрын
Nicee
This guy is my savior. My math teacher doesn’t bother to teach, so this saves my ass. (Seriously. She gives us packets then sits down and reads.)
@putin_navsegda6487
3 жыл бұрын
basically, it's how it works in real life. Teacher gives you themes and some general direction and after it's up to you to look for a good source and understand it. If ya not agree probably math is not your thing.
M having exams this morning...and this tutiorial is making me feel I can do anything..I'm so glad I came across this..much love ..
Your videos are so helpful, you have no idea the impact you're videos have had on my studies and furthering my studies... you are a star and truly grateful to have come across your KZread channel.🙏
I love this man with my whole heart. I have been watching your videos from my senior year at high school and now I am a third-year Computer Science student. Thank you so much for your help!!!
You sir are a hero to college students worldwide!
Your videos never disappoint. You are a life saver 👌
Very nicely explained. One minor quibble: you are using the notation for matrices (the square brackets: "[" and "]") when you should be using the notation for determinants (the straight lines, or pipes: "|" and "|"). But everything else was great! 👍
@amoghreddy8885
Жыл бұрын
grow up
@viculty4724
Жыл бұрын
What????? It’s literally the correct thing, brackets mean something completely different (greatest integer expression)
@amoghreddy8885
Жыл бұрын
grow up
@AclinGG
Жыл бұрын
@@amoghreddy8885 teacher literally said he'd fail us in the exam for that you stupid cunt
absolute legend
@neilandrews4097
3 жыл бұрын
yes
@catalyzt7162
3 жыл бұрын
@@neilandrews4097 yes
@neilandrews4097
3 жыл бұрын
@@catalyzt7162 lmao nice
@neilandrews4097
3 жыл бұрын
@@catalyzt7162 didnt think you would respond
@catalyzt7162
3 жыл бұрын
@@neilandrews4097 he helped me do well in my maths test.
This just saved me lots of stress ngl; you explained it so much better than my professor lol
This channel has saved a lot of lives and it’s still Savin 🤲🏽
Thanks Mr. The Organic Chemistry Tutor!!
Literal LEGEND!!! Helped me with my maths assignment.
I have been re watching my lecture for a couple of hours not understanding. I watch your video once and it all makes sense. Thank you so much.
My teachers were not explaining this well, thanks for the straightforward and clear guide.
one of the best if not THE best video made on matrices!! keep up the great content!
So simple and clear. His voice is of a good person. Math is easy here
Hello Teacher ....I major in math and Chemistry in University of Eastern Africa baraton in Kenya .. you've always have my back 🇰🇪👍...Thank you
Thanks for the clear and concise explanation. My teacher went over this in 45 minutes and I was more lost than when I had started looking at it. Now I can see that it's simple but just takes a fuck ton of time.
I'm in 7th grade and I just started learning this today, and this video helped so much with the hw, tysm!
@nickballas4729
3 жыл бұрын
Bruh you learning this in 7th grade?
@imsoundish
3 жыл бұрын
I doing this in 9th and thought it was semi difficult
@gnsn5441
3 жыл бұрын
Nick Ballas lol it’s quite painful, I took a summer course
@gnsn5441
3 жыл бұрын
SoundlessDestiny it is really hard
@Riverish
3 жыл бұрын
i learned it in 7th too. i'm in calculus now, and thought that i might review it for fun.
Bro is a lifesaver... I have a test in 1 1/2 hours and I had no clue but this makes perfect sense. Gotta love it
Following this video, I was able to solve my problem with different coefficients! Thank you! You have been one of my best references (tools) since 2018!
@venom-kl3un
2 жыл бұрын
Hi american , are u from Texas
Just hours before my exam! This man is a lifesaver 👏
Thanks so much. I have an algebra test coming up and I could not figure out how to organize D, Dx, Dy, and Dz. This video helped me so much
Thanks alot you are literally saving my mathematics, chemistry and physics grades every year I really appreciate it Thanks again man
Thank you so much for the explanation. It was easy to understand. You never know how helpless I felt before.
Your way to resolve is more clear than text book. Thanks a lot.
You're the absolute best! My teacher sucks but your videos help me get straight As !
Your videos are very interesting and easy to understand. Thanks bro. Really.💪🏾💪🏾
you have no idea how much you eased my life thank you ,like your the best you are such a blessing i mean it , i cant thank you enough thankssssssssssss
This man is a life saver. Thank you so much for this lecture! 🙏
this guy taught me a whole 7 day lesson in like 14:30 mins
@ahmeddler
3 жыл бұрын
Hahaha me too
@joyjamani7281
3 жыл бұрын
More like two weeks 😂😂.
I just go to class to note the topic and come back here.....you are a thousand times better than lectures
Thank youuu watching from Zimbabwe
Very useful, properly taught ! Thank you very much
Thank you so much for this. Really helped a lot.
I learnt this so fast, I never knew it was this easy. God bless you 😇
You're a blessing to my education !!!!!!!
Thanks I really needed this
Niiiceee video! i learn a lot! just one thing, try to put the determinant symbols (the straight lines) instead of the matrix symbols because i tried to do the excercise and i made an scalar matrix multiplication instead of the multiplication of the scalars by the determinant of the 2x2 matrices
Shoutout to this guy for all the precalc help.
All addition, subtraction, multiplication, and division, but quite a complex method. I like it!!
Great tutorial...thank you
I really don't know how to thank u sir..u just saved me b4 exam..I found your channel this yr n I couldn't help commenting that U r the best...I repeat..THE BEST😢❤..
your voice is like Top5S voice. So nostalgic
I don't know why I always wanted to watch your math, Chem and physics vedio I'm always glad to watch your videos it is the best i could say i give you thums up for your time and effort
Thanks a lot you deserve all the love in the world😘😘😘
Wish I could thank you personally! God Bless you g
Brilliantly Explained ... Thank You Sir 🥰🥰
Thank you for your time to explain such a confusing process .You have Me thinking that math is fun and it actually is so thanks.
great tutorials, thanks a lot
I have an exam today and I Really needed this on short notice. Thank you sm
Thx so much man. Life saver right here
Excellent way of explanation
Thank you so much for doing this video. I really appreciate it and it really help me in solving my math problems. God bless you 🙏😇🙏
Thank you! It makes so much sense now.
your teaching method is superb be blessed
You're a legend 👌👍👆my role model
You have made math very easy and interesting 😉 thanks allot from 🇰🇪🇰🇪🇰🇪
This is wonderful very helpful keep it up the good Work
This was very helpful. Thank you
Thank you, this review was really helpful!
Am from Kenya 🇰🇪 and I really appreciate your work 🙏am now able to tackle all questions in Algebra 1,
easy, understandable, comfortable for cognition. wanna just thank you
Thank you so much!
Very helpful. Thank You.
After 8 hours I'll be in exam hall and you helped me a lot. Thank you so much 🥰
simple and to the point :)
Thank you, this was very helpful!
I really appreciate the videos!
You are the best! Thank you sir.
Thankyou so much. You're so helpful
Thanks for sharing it with us
Great explanation!
I have a question...how do you know when to add or subtract after turning the 3 by 3 matrix into 3 different 2 by 2 matrix
i literally watch this video for my mid term test last year and here i am right now watching the same exact video one year later for the exact same reason goddamit i failed my test :)
Best concise video, thanks
Maaaaaaaaaan you're so awesome thx for the solution of this cramer exercice !
thank you so much for the help sir, you saved my life 🥺
Thank you so much. Saved my life again. My teacher made it so weird and confusing by adding and subtracting columns and rows to get 0s which got me weird numbers. Thank you once again
@peterszekely7490
3 жыл бұрын
You mean Gauss elimination?
Thanks a million... Love you work.. 💯😍👏
Bestest explanation...🎉
We love you organic chemistry tutor!!❤❤
You’re a life saver 🙌🏽
ok hold on, ik this is probably really late to say this, but your videos help me out in math way more than I expected, and it's been saving me so much trouble. So thank you for releasing these videos to help me undserstand :D
I was absent when my prof was teaching this, but thank god this video exists. You saved me like 5th times now 💀👍
You are a Life saver and this time I ain't even lying