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

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    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

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    2 жыл бұрын

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    11 ай бұрын

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    3 жыл бұрын

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    4 жыл бұрын

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  • @rodduke2040
    @rodduke20404 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)

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  • @matte_molli
    @matte_molli3 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

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  • @jjcadman
    @jjcadman2 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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    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

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    @Tokolos1Ай бұрын

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    @hibuddy2715 ай бұрын

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    @WarTurtle9253 жыл 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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    @hasanyahya46983 жыл бұрын

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    @rhythmsinghbasoor1126 Жыл бұрын

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    3 жыл бұрын

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  • @aqil475
    @aqil4752 жыл бұрын

    I was absent when my prof was teaching this, but thank god this video exists. You saved me like 5th times now 💀👍

  • @haisal2846
    @haisal28464 жыл бұрын

    You are a Life saver and this time I ain't even lying