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.

Introduction to Matrices:
https://www.youtube.com/watch?v=yRwQ7A6jVLk

Adding and Subtracting Matrices:
https://www.youtube.com/watch?v=QXUbFzEd3Ww

Scalar Multiplication of Matrices:
https://www.youtube.com/watch?v=iJERwUVuwtY

Solving Matrix Equations:
https://www.youtube.com/watch?v=UHhvcj0doaA

Multiplying Matrices:
https://www.youtube.com/watch?v=vzt9c7iWPxs

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Gaussian Elimination & Row Echelon Form:
https://www.youtube.com/watch?v=eDb6iugi6Uk

Gauss Jordan Elimination:
https://www.youtube.com/watch?v=eYSASx8_nyg

Gaussian Elimination With 4 Variables:
https://www.youtube.com/watch?v=4VAXv6yRULU

Inverse of a 2x2 Matrix:
https://www.youtube.com/watch?v=aiBgjz5xbyg

Inverse of a 3x3 Matrix:
https://www.youtube.com/watch?v=Fg7_mv3izR0

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Determinant of 2x2 and 3x3 Matrix:
https://www.youtube.com/watch?v=3ROzG6n4yMc

Determinant of 4x4 Matrix:
https://www.youtube.com/watch?v=fWzUwrt1Z0s

Cramer's Rule - 2x2 Linear System:
https://www.youtube.com/watch?v=vXqlIOX2itM

Cramer's Rule - 3x3 Linear System:
https://www.youtube.com/watch?v=Ot87qLTODdQ

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Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio