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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?

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See How to look up a symbol? You can use \overline{C}. –  Alan Munn May 15 '13 at 22:32
    
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1 Answer 1

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}
\[
  (\mathbf{A}^*)_{ij} = \conjugatet{\mathbf{A}_{ij}}
\]
\end{document}

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

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Should be ${}_{ji}$ in one of the two sides of the equation. –  Benjamin McKay 1 hour ago

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