Let $A \in \mathbb{C}^{N \times M}$ be a
D999: Complex matrix such that
(i) |
\begin{equation}
A
=
\begin{bmatrix}
A_{1, 1} & A_{1, 2} & \cdots & A_{1, M} \\
A_{2, 1} & A_{2, 2} & \vdots & A_{2, M} \\
\vdots & \cdots & \ddots & \vdots \\
A_{N, 1} & A_{N, 2} & \cdots & A_{N, M}
\end{bmatrix}
\end{equation}
|
The
conjugate transpose of $A$ is the
D999: Complex matrix
\begin{equation}
A^*
: =
\begin{bmatrix}
\overline{A}_{1, 1} & \overline{A}_{2, 1} & \cdots & \overline{A}_{N, 1} \\
\overline{A}_{1, 2} & \overline{A}_{2, 2} & \vdots & \overline{A}_{N, 2} \\
\vdots & \cdots & \ddots & \vdots \\
\overline{A}_{1, M} & \overline{A}_{2, M} & \cdots & \overline{A}_{N, M}
\end{bmatrix}
\end{equation}