Gauss Jordan Elimination & Reduced Row Echelon Form | RREF

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  • čas přidán 7. 08. 2024
  • ❖ To solve a linear system of equations by Gauss Jordan elimination, we have to put the augmented matrix in Reduced Row Echelon Form which is called RREF.
    ❖ This Linear Algebra video tutorial provides a basic introduction to the Gauss-Jordan elimination which is a process that involves elementary row operations with 3x3 matrices which allows you to solve a system of linear equations with 3 variables (x, y, z).
    So, to solve the example you need
    1) Convert the system of linear equations into an augmented matrix [ A | b ].
    2) Convert the 3x3 matrix into the RREF by using Elementary row operations.
    You can easily determine the answers once you convert the augmented matrix to the RREF.
    ❖ We have solved the system Ax=b in the following way:
    [ A | b ] to [ REFF | c ],
    b vector changed to c vector,
    because we have done RREF for the augmented matrix [ A | b ].
    0:00 ❖ Introduction (From the previous video)
    0:58 Solving by Gauss Jordan Elimination
    The link to this playlist (Linear Algebra):
    • Linear Algebra
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