Hadamard's Theorem

Let be an determinant with complex (or real) elements , then if

|a_(ii)|>sum_(j=1; j!=i)^n|a_(ij)|.

See also

Hadamard's Inequality

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References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1110, 2000.

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Hadamard's Theorem

Cite this as:

Weisstein, Eric W. "Hadamard's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HadamardsTheorem.html

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