Matrix Conjugation
Matrix conjugation is an evolution of vector conjugation.
Contents
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:
Conjugation is distributive:
The transpose of a conjugate is equal to the conjugate of the transpose:
