Gaussian Elimination & Row Echelon Form

This precalculus video tutorial provides a basic introduction into the gaussian elimination - a process that involves elementary row operations with 3x3 matrices which allows you to solve a system of linear equations with 3 variables. You need to convert the system of equations into an augmented matrix and use matrix row operations to write it in row echelon form. Next, you can convert back into a system of linear equations and solve using back substitution.

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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  

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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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