To understand Gauss-Jordan elimination algorithm better input any example, choose "very detailed solution" option and examine the solution. For example, if you have the linear system below, you can swap 1st and. For example, in the following sequence of row operations (where two elementary operations on different rows are done at the first and third steps), the third and fourth matrices are the ones in row echelon form, and the final matrix is the unique reduced row echelon form. The solution set of such system of linear equations doesn't exist. Gaussian elimination is a popular method for solving systems of linear equations. ![]()
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