[Tex/LaTex] Conjugation of matrices – How to typeset it

typography

Can you help me?

I do not know what to type in order to show the conjugation.

I mean that the matrix B has complex entries and C is the transpose matrix of B, then B* is C with a line above.

How do I do that?

Best Answer

If you are referring to the Conjugate transpose, then the following is what you're after - a standard \overline:

enter image description here

\documentclass{article}
\let\conjugatet\overline
\begin{document}
\[
  (\mathbf{A}^*)_{ij} = \conjugatet{\mathbf{A}_{ji}}
\]
\end{document}

Following the guideline in Consistent typography, I've defined \conjugatet to be equivalent to \overline.

Wikipedia page: https://en.wikipedia.org/wiki/Conjugate_transpose

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An index can be a scalar, or a vector in its own right: compare $\vec{x}_r$ with $\vec{x}_{\vec{r}}$ - these are different mathematical entities! The dimensions of the index may not coincide with the dimensions of the indexed object.

Therefore as a general rule your variant 1 should be preferred: it shows that the quantity is a vector or a matrix with a scalar index (or vector index if appropriate).

Of course some journals and publishers introduce their own "house styles" which may have different recommendations. Sadly enough, sometimes these "house styles" are written without input from the mathematicians, so I can envision a style that requires (mathematically unsound) variant 2.

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The steinmetz package was written exactly for this.

\documentclass{article}

\usepackage{steinmetz}

\begin{document}

$z = 1.19 \phase{-78.2039^{\circ}}$

\end{document}

enter image description here

Best Answer

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