Cramer's Rule - 3x3 Linear System

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The Organic Chemistry Tutor

The Organic Chemistry Tutor

6 жыл бұрын

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: 443
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor Жыл бұрын
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/j4irqqKsma2kock
@SP-ge6kv
@SP-ge6kv 2 жыл бұрын
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@endy_011 2 жыл бұрын
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@iluvyunie Жыл бұрын
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@epikman7073 11 ай бұрын
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@freudbrahms254 3 жыл бұрын
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@NormanYeung19
@NormanYeung19 3 жыл бұрын
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@frijolex2509
@frijolex2509 3 жыл бұрын
hits too close to home :,,)
@Jose-jg1cp
@Jose-jg1cp Жыл бұрын
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@caleborg5688
@caleborg5688 4 жыл бұрын
This made a lot more sense than the pages of notes we got from our teacher... thank you
@cecilianyangu6790
@cecilianyangu6790 4 жыл бұрын
I agree with you... The notes I Also received didn't make sense
@neilandrews4097
@neilandrews4097 3 жыл бұрын
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@cryptotare
@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
@whatafinese561 2 жыл бұрын
My lecture is an ass he keeps the notes for himself
@christianabrokwa6780
@christianabrokwa6780 2 жыл бұрын
Facts
@jar01usmc
@jar01usmc 2 жыл бұрын
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@promptlyjoebrown4305
@promptlyjoebrown4305 2 жыл бұрын
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.
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@nobodyspecial6799 2 жыл бұрын
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@oreokid6882 2 жыл бұрын
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@FarooqAhmadiub
@FarooqAhmadiub 2 жыл бұрын
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@mango6512
@mango6512 Жыл бұрын
I can’t explain how much more helpful this is than my actual lectures
@rodduke2040
@rodduke2040 4 жыл бұрын
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)
@isaactiwa5923
@isaactiwa5923 2 жыл бұрын
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 ..
@matte_molli
@matte_molli 3 жыл бұрын
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
@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
@rubeneduardooseguedagomez8303 2 жыл бұрын
@@javierconcepcion7677 wrong, he was high as fuck, all mathematicians were and are high as fuck
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@Matt-ii7hf 2 жыл бұрын
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@putin_navsegda6487
@putin_navsegda6487 3 жыл бұрын
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@hydreox1911 4 жыл бұрын
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@henrytumbusch4628 3 жыл бұрын
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@Baldy8653 3 жыл бұрын
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@jjcadman
@jjcadman 2 жыл бұрын
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! 👍
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@amoghreddy8885 Жыл бұрын
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@viculty4724
@viculty4724 Жыл бұрын
What????? It’s literally the correct thing, brackets mean something completely different (greatest integer expression)
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@AclinGG
@AclinGG Жыл бұрын
@@amoghreddy8885 teacher literally said he'd fail us in the exam for that you stupid cunt
@jacobfeinauer6487
@jacobfeinauer6487 6 ай бұрын
My teachers were not explaining this well, thanks for the straightforward and clear guide.
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@catalyzt7162 4 жыл бұрын
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@neilandrews4097 3 жыл бұрын
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@neilandrews4097 3 жыл бұрын
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@neilandrews4097 3 жыл бұрын
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@user-ig1wx2xq5l 3 ай бұрын
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@yangzhen2889
@yangzhen2889 Жыл бұрын
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@samiullahkhan3828
@samiullahkhan3828 Ай бұрын
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@Maryam-ok6sk 4 жыл бұрын
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@gabrielpope8105 2 жыл бұрын
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@Tokolos1 2 ай бұрын
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@hibuddy271 6 ай бұрын
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@bonganesithole9107
@bonganesithole9107 5 жыл бұрын
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@kelchechim 3 ай бұрын
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@maya.5664 2 жыл бұрын
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@abdulloh_boi
@abdulloh_boi 6 ай бұрын
easy, understandable, comfortable for cognition. wanna just thank you
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@africangirl6809 6 ай бұрын
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@sababadry 3 ай бұрын
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@orlandodelossantos6005 3 жыл бұрын
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@user-ge6mn3yr7d 4 ай бұрын
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@sidindian1982
@sidindian1982 Жыл бұрын
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@Jeff-nq4hg 6 ай бұрын
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@ahmeddler 3 жыл бұрын
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@joyjamani7281 3 жыл бұрын
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@theodorahjanget9900 Жыл бұрын
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@gnsn5441
@gnsn5441 3 жыл бұрын
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@nickballas4729 3 жыл бұрын
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@imsoundish 3 жыл бұрын
I doing this in 9th and thought it was semi difficult
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@gnsn5441 3 жыл бұрын
Nick Ballas lol it’s quite painful, I took a summer course
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@gnsn5441 3 жыл бұрын
SoundlessDestiny it is really hard
@Riverish
@Riverish 3 жыл бұрын
i learned it in 7th too. i'm in calculus now, and thought that i might review it for fun.
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@dorcasmupeta4193 10 ай бұрын
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@genisapaul9699 4 жыл бұрын
Very helpful. Thank You.
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@edmalynbusano9783 Жыл бұрын
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@bathenkosimfihlo2380 3 жыл бұрын
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@spadeaxe5528 3 жыл бұрын
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@rhythmsinghbasoor1126 Жыл бұрын
Best concise video, thanks
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@funforeverything Жыл бұрын
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@penggzambia5871 3 жыл бұрын
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@senuri2846 Ай бұрын
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@yenkodelantvpuanmedia1196 2 жыл бұрын
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@gaur_hub 2 жыл бұрын
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@jasminepurity894 3 жыл бұрын
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@haisal2846 4 жыл бұрын
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@ShadOw-zk9nm 2 жыл бұрын
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@Furapika 3 жыл бұрын
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@user-yf2fr3jt5b Жыл бұрын
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@WarTurtle925
@WarTurtle925 3 жыл бұрын
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@fridamariafrancis Жыл бұрын
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@averagemanobi5679 2 жыл бұрын
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@jadidjunan2209 2 жыл бұрын
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@neilandrews4097 3 жыл бұрын
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@boitumeloferdinandmatshidi4419 4 ай бұрын
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@zainabzaidi8634 7 ай бұрын
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@nanayaafrema8741 Жыл бұрын
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
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Was told I will never understand this. But thanks it’s now simple to me
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@CensoredMercy Жыл бұрын
im in love with this guy
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