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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