Conjugate Transpose is Involution

Theorem
Let $\mathbf A$ be a complex-valued matrix.

Let $\mathbf A^*$ denote the Hermitian conjugate of $\mathbf A$.

Then the operation of Hermitian conjugate is an involution:


 * $\left({\mathbf A^*}\right)^* = \mathbf A$

Proof
So:


 * $\left({\mathbf A^*}\right)^* = \mathbf A$