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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