;Task:
Solve &nbsp; '''Ax=b''' &nbsp; using Gaussian elimination then backwards substitution.

'''A''' &nbsp; being an &nbsp; '''n''' by '''n''' &nbsp; matrix.

Also, &nbsp; '''x''' and '''b''' &nbsp; are &nbsp; '''n''' by '''1''' &nbsp; vectors.

To improve accuracy, please use partial pivoting and scaling.


;See also:
:* &nbsp; the Wikipedia entry: &nbsp; [[wp:Gaussian elimination|<u>Gaussian elimination</u>]]
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