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

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

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

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

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

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

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

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