The ctranspose(M) function computes the Hermitian transpose of the matrix M. The result, R, is given by R[i,j] = ctranspose(M[j,i]).

$\mathrm{with}\left(\mathrm{MTM}\right)\:$

$M≔\mathrm{Matrix}\left(\left[\left[1\,2+\mathrm{I}\right]\,\left[3\,4\right]\right]\right)\:$

$\mathrm{ctranspose}\left(M\right)$

$\left[\begin{array}{cc}1& 3\\ 2-\mathrm{I}& 4\end{array}\right]$

$M≔\mathrm{Array}\left(\left[1\,-2\mathrm{I}\right]\right)\:$

$\mathrm{ctranspose}\left(M\right)$

$\left[\begin{array}{c}1\\ 2\mathrm{I}\end{array}\right]$