Let $A \in \mathbb{C}^{N \times N}$ be a D6159: Complex square matrix such that
| (i) | $A^*$ is a D5306: Complex matrix conjugate transpose for $A$ |
Then the following statements are equivalent
| (1) | $A$ is an D5870: Invertible complex matrix |
| (2) | $A^*$ is an D5870: Invertible complex matrix |