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Antihermitian Part


The antihermitian part of a complex matrix A is

 A_(AH)=1/2(A-A^H),

and its Hermitian part is

 A_H=1/2(A+A^H).

Here, A_(AH) is an antihermitian matrix, A_H is a Hermitian matrix, and A^H denotes the conjugate transpose.


See also

Antihermitian Matrix, Antisymmetric Matrix, Antisymmetric Part, Hermitian Matrix, Symmetric Matrix, Symmetric Part

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Cite this as:

Weisstein, Eric W. "Antihermitian Part." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AntihermitianPart.html

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