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

'''A'''   being an   '''n''' by '''n'''   matrix.

Also,   '''x''' and '''b'''   are   '''n''' by '''1'''   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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