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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Final Exams and Video Playlists: www.video-tutor.net/
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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

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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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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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