Dubbed Version (Rahul AI):
Dubbed Version (Krystian AI):
Gaussian elimination for solving systems of linear equations. I discuss it using 7 different examples — including an inconsistent system (no solutions) and a system with infinitely many solutions.
You will learn from this lesson why Gaussian elimination is the best method for solving systems of linear equations.
Table of Contents:
- When can we use Gaussian elimination? (its universality) [00:45]
- What is a “row echelon” form? [01:27]
- Solving a system of linear equations using Gaussian elimination — Example 1 [04:45]
- Solving a system of linear equations using Gaussian elimination — Example 2 [18:49]
- Solving a system of linear equations using Gaussian elimination — Example 3 [39:01]
- Solving a system of linear equations using Gaussian elimination — Example 4 [48:07]
- Solving a system of linear equations using Gaussian elimination — Example 5 [55:07]
- Solving a system of linear equations using Gaussian elimination — Example 6 [58:59]
- Solving a system of linear equations using Gaussian elimination — Example 7 [1:02:27]
Homework
Download Answers to Homework (PDF)
Articles and blog posts related to this Lesson
- “Gaussian vs Cramer’s vs Kronecker-Capelli Methods – Matrices in Solving Systems of Linear Equations“
- “The Biggest Problem with Matrix Problems…“