Gauss-Jordan Elimination and RREF - Parametric Solution
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- čas přidán 1. 07. 2024
- * Look below for timecodes for easier navigation through the video.
In this video, we will solve a system of three equations in four variables using Gauss-Jordan elimination. The solution for this system will have parameters.
We will also learn how to set up the augmented matrix for a system and how to reduce it to the row-echelon form (REF) and reduced row echelon form (RREF).
Timecodes:
00:00 Constructing the augmented matrix
01:28 Carrying it to the row echelon form (REF)
4:02 Carrying it from REF to the reduced row echelon form (RREF)
4:35 Converting RREF to the system of the equation to obtain the solution
6:14 Examples of numerical solutions to the system
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