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Pivoting


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For a linear system $ Ax=b$, a permutation of rows of the matrix changes the right-hand side:

$\displaystyle A(I,;)x = b(I).
$

Contrary to that, a permutation of columns changes the solution:

$\displaystyle A(:,I) x(I) = b \,.
$

see also:


[Examples]

  automatically generated 3/ 8/2007