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:
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Introduction to Matrices:
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Adding and Subtracting Matrices:
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Scalar Multiplication of Matrices:
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Solving Matrix Equations:
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Multiplying Matrices:
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Gaussian Elimination & Row Echelon Form:
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Gauss Jordan Elimination:
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Gaussian Elimination With 4 Variables:
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Inverse of a 2x2 Matrix:
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Inverse of a 3x3 Matrix:
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Determinant of 2x2 and 3x3 Matrix:
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Determinant of 4x4 Matrix:
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Cramer's Rule - 2x2 Linear System:
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Cramer's Rule - 3x3 Linear System:
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Final Exams and Video Playlists:
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