= Elementary row operation
= Row operation
{synonym}
An <elementary row operation> interchanges two rows of a <matrix>, multiplies one row by a nonzero scalar, or adds a scalar multiple of another row to it. These invertible operations are used in <Gaussian elimination>. For a square <matrix>, interchange changes the sign of its <determinant>, multiplication scales its <determinant> by the same scalar, and adding another row leaves its <determinant> unchanged, by multilinearity and alternation.
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