Exercise 5.5.1

Question

Show that for a square matrix $A$ the equality $\det (A^*) = \overline{\det (A)}$ holds.

Jing Huang · Accepted Answer

\begin{proof}
 $\det (A^*) = \det(\overline{A}^\mathsf{T}) = \det(\overline{A}) = \overline{\det(A)}$.  
\end{proof}

Answers