Let $A \in \mathbb{R}^{N \times N}$ be a D6160: Real square matrix such that

(i) | $A^T$ is a D5841: Real matrix transpose for $A$ |

Then the following statements are equivalent

(1) | $A$ is an D5871: Invertible real matrix |

(2) | $A^T$ is an D5871: Invertible real matrix |