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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. Full-Length Math & Science Videos: / collections ___________________________________ 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 __________________________________ 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 ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/