Gaussian Elimination With 4 Variables Using Elementary Row Operations With Matrices

Published: 18 February 2018
on channel: The Organic Chemistry Tutor
579,435
6k

This precalculus video tutorial provides a basic introduction into the gaussian elimination with 4 variables using elementary row operations with 4x4 matrices. You need to convert the system of linear equations into an augmented matrix and write it row echelon form using matrix row operations. You can solve the system using back substitution.

Introduction to Matrices:
   • Intro to Matrices  

Adding and Subtracting Matrices:
   • Adding and Subtracting Matrices  

Scalar Multiplication of Matrices:
   • Scalar Multiplication of Matrices and...  

Solving Matrix Equations:
   • Solving Matrix Equations  

Multiplying Matrices:
   • Multiplying Matrices  

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Gaussian Elimination & Row Echelon Form:
   • Gaussian Elimination & Row Echelon Form  

Gauss Jordan Elimination:
   • Gauss Jordan Elimination & Reduced Ro...  

Gaussian Elimination With 4 Variables:
   • Gaussian Elimination With 4 Variables...  

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 Matrices, 2x2 Matr...  

Determinant of 4x4 Matrix:
   • How To Find The Determinant of a 4x4 ...  

Cramer's Rule - 2x2 Linear System:
   • Cramer's Rule - 2x2 Linear System  

Cramer's Rule - 3x3 Linear System:
   • Cramer's Rule - 3x3 Linear System  

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