- 2.1: Gaussian Elimination
- Systems of linear equations can be written as matrix equations. Now you will learn an efficient algorithm for (maximally) simplifying a system of linear equations (or a matrix equation) -- Gaussian elimination.
- 2.3: Elementary Row Operations
- What can we do to maximally simplify a system of equations in general? We need to perform operations that simplify our system without changing its solutions. Because, exchanging the order of equations, multiplying one equation by a non-zero constant or adding equations does not change the system's solutions, we are lead to three elementary row operations:
Thumbnail: 3 planes intersect at a point. Image used with permission (CC BY-SA 4.0; Fred the Oyster).