Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online lexicon:

Pivoting

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview
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 \,. $

Example:

[Links]
  automatically generated 3/ 8/2007