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Congruent Matrices

Two square matrices A and B are called congruent if there exists a nonsingular matrix P such that

B=P^(T)AP,

where P^(T) is the transpose.

See also

Transpose

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References

Ayres, F. Jr. Schaum's Outline of Theory and Problems of Matrices. New York: Schaum, p. 115, 1962.

Referenced on Wolfram|Alpha

Congruent Matrices

Cite this as:

Weisstein, Eric W. "Congruent Matrices." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CongruentMatrices.html

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