Definition:Gauss-Jordan Elimination/Historical Note
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Historical Note on Gauss-Jordan Elimination
Gauss-Jordan elimination was invented by Wilhelm Jordan as a variant of Gaussian elimination.
As a means of solving a system of simultaneous equations $\mathbf A \mathbf x = \mathbf b$, Gaussian elimination is preferred, as it requires much less work.
When used to calculate the inverse of a square matrix, Gauss-Jordan elimination is sometimes used instead of Gaussian elimination, as they take the same amount of work.
By applying a final scaling in which each non-zero row is divided by its first non-zero element, Gauss-Jordan elimination can be applied to am $m \times n$ matrix to obtain its reduced row echelon form.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Gauss-Jordan elimination