Elementary operations

Linear Algebra and the C Language · Wikibooks

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    Elementary operations

    Determinant: Elementary operations

    Elementary row operations are used in Gaussian elimination to reduce a matrix to row echelon form... Wikipedia: Elementary matrix


    Swaps two lines:

    Multiplies the row r by a scalar:

    Multiplies r1 by s add sr1 at r2:


    Swaps two columns:

    Multiplies the column c by a scalar:

    Multiplies c1 by s add sc1 at c2:


    Select the best pivot:

    Puts zero under the pivot:


    Swaps two columns with the index:

    Swaps two indexes without touching the columns: