1. The problem asks to find the adjoint (also called the conjugate transpose) of matrix $A$, denoted as $A^*$. 2. The adjoint $A^*$ of a matrix $A$ is found by taking the transpose of $A$ and then taking the complex conjugate of each entry. 3. If $A = [a_{ij}]$, then $A^* = [\overline{a_{ji}}]$, where $\overline{a_{ji}}$ is the complex conjugate of the element in the $j$th row and $i$th column of $A$. 4. To proceed, please provide the matrix $A$ so I can compute $A^*$ explicitly.