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Elementary Matrix


An n×n matrix A is an elementary matrix if it differs from the n×n identity I_n by a single elementary row or column operation.


See also

Elementary Row and Column Operations, Identity Matrix, Permutation Matrix, Shear Matrix

This entry contributed by Christopher Stover

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References

Ayres, F. Jr. Schaum's Outline of Theory and Problems of Matrices. New York: Schaum, p. 41, 1962.Hoffman, K. and Kunze, R. Linear Algebra. Pearson, 1971.

Cite this as:

Stover, Christopher. "Elementary Matrix." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ElementaryMatrix.html

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