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Mathematics-Online course: Preparatory Course Mathematics - Linear Algebra and Geometry - Systems of Linear Equations | ||

## Gauss Elimination to Echelon Form |

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By Gaussian elimination any LSE can be brought to row-echelon form:

In detail the -th elimination step proceeds as follows:

- Select as pivot an element with smallest possible
column-index and row-index . Interchange the -th
equation with the equation which contains the pivot.
If there is no possible pivot, the echelon form is reached.

- For an appropriate multiple of the -th equation is subtracted from the -th equation so that equals zero.

(Authors: Burkhardt/Höllig/Streit)

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automatically generated 1/9/2017 |