The complex conjugate transpose in Mathematica

Question

Is there an existing function for the complex conjugate transpose in Mathematica? The equivalent in matlab is the to the apostrophe operator (').

Answer 1

In your title you ask for conjugate transpose. That's just ConjugateTranspose.

If you want the conjugate, it's just Conjugate.

Input:
a = {{3 + 2 I, 1 - I}, {2 - 5 I, 4 + 3 I}}
ConjugateTranspose[a]

Output:
{{3 + 2 I, 1 - I}, {2 - 5 I, 4 + 3 I}}
{{3 - 2 I, 2 + 5 I}, {1 + I, 4 - 3 I}}

You can also use the Hermitian conjugate symbol, which you use by entering esc hc esc or \[HermitianConjugate].