SYSTEMS OF EQUATIONS | Gauss-Jordan Reduction (Page 1 of 7) |
With Gauss-Jordan reduction, we continue the elimination process on the augmented matrix, going beyond row-echelon form until we have obtained reduced row-echelon form. The steps are very similar to those we have already performed. Let's continue the previous example with Gauss-Jordan reduction. The augmented matrix is in row-echelon form, and is stored as matrix A. Begin by reviewing the contents of this matrix. Column one is in reduced row-echelon form, but columns two and three are not. We must eliminate the 2 in the first position of column two. |
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