Verify that the matrix `(1)/sqrt3[(1,1+i),(1-i,-1)]` is unitary, where `i=sqrt-1`

Explanation

To verify that the matrix \( A = \frac{1}{\sqrt{3}} \begin{pmatrix} 1 & 1+i \\ 1-i & -1 \end{pmatrix} \) is unitary, we need to check if \( A A^\dagger = I \), where \( A^\dagger \) is the conjugate transpose of \( A \), and \( I \) is the identity matrix.

### Step 1: Find the conjugate transpose \( A^\dagger \)

The conjugate transpose \( A^\dagger \) is obtained by taking the transpose of \( A \) and then taking the complex conjugate of each element.

1. The transpose of \( A \) is:
\[
...