Elementary row and column operations on a matrix over a field are

1. Interchanging two rows or columns,

2. Adding a multiple of one row or column to another,

3. Multiplying any row or column by a nonzero element of the field.

See also

Elementary Matrix, Gaussian Elimination, Matrix

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References

Ayres, F. Jr. Schaum's Outline of Theory and Problems of Matrices. New York: Schaum, p. 39, 1962.Dummit, D. S. and Foote, R. M. "The Basic Theory." §12.1 in Abstract Algebra, 3rd ed. Hoboken, NJ: Wiley, pp. 458-471, 2004.

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Elementary Row and Column Operations

Cite this as:

Weisstein, Eric W. "Elementary Row and Column Operations." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ElementaryRowandColumnOperations.html

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