GAUSSIAN ELIMINATION AND GAUSS-JORDAN ELIMINATION III

ANOTHER CONTINUATION ...

Steps of Gaussian Elimination with Back-Substitution
1 Write the Augmented Matrix of the system of Linear Equations
2. Use Elementary row operations to rewrite the augmented matrix in row-echelon form
3. Write the system of Linear equations corresponding to the matrix in row-echelon form and use back substitution to find the solution


Gauss-Jordan Elimination
The second method of Elimination is named after Carl Gauss and Wilhelm Jordan. It continues the reduction process until a reduced row-echelon form is obtained.

A matrix in row-echelon form is in Reduced-row echelon form if every column that has a leading 1 has zeros in every position above and below its leading 1

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