= Matrix Conjugation =

'''Matrix conjugation''' is an evolution of [[Calculus/ComplexVector|vector conjugation]].

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== Description ==

Following the exact same logic as [[Calculus/ComplexVector|vector conjugation]], a matrix can also be conjugated.

This is most important for calculating the [[LinearAlgebra/HermitianTranspose|Hermitian transpose]]



=== Properties ===

The double [[Calculus/ComplexNumbers#Complex_Conjugates|conjugate]] of a matrix is the original matrix: {{attachment:double.svg}}

Conjugation is distributive: {{attachment:dist.svg}}

The [[LinearAlgebra/Transposition|transpose]] of a conjugate is equal to the conjugate of the transpose: {{attachment:trans.svg}}




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CategoryRicottone