Gauss-Jordan Elimination

Enter coefficients into the following system of four linear equations in four unknowns. Be sure to leave no blanks. Then press the "Confirm Entries" button to see the corresponding augmented matrix. Then press the button, which now says "Row Reduce". Starting with the left-most column, the program switches rows to make the pivot entry as large as possible as compared with the other entries in the row (to try to minimize roundoff errors). Next, it applies row operations to try to create a leading 1 and then 0's below the leading 1. Then it moves to the next column to the right. After finishing with the right-most coefficient column, it then applies row operations to put 0's above the leading 1's, moving from right to left. The matrix for each step is shown. Finally, the solution to the system is given.

source code

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