Matrix Conjugation

Matrix conjugation is an evolution of vector conjugation.


Description

Following the exact same logic as vector conjugation, a matrix can also be conjugated.

This is most important for calculating the Hermitian transpose, notated as either AH or A ('dagger'). This involves transposing and taking the complex conjugate.

Properties

The double conjugate of a matrix is the original matrix: double.svg

Conjugation is distributive: dist.svg

The transpose of a conjugate is equal to the conjugate of the transpose: trans.svg


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