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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]]
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Matrix Conjugation

Matrix conjugation is an evolution of vector conjugation.

Contents

  1. Matrix Conjugation
    1. Description
      1. Properties

Description

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

This is most important for calculating the Hermitian transpose

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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LinearAlgebra/MatrixConjugation (last edited 2026-02-13 03:19:26 by DominicRicottone)