Klinefelter Syndrome - 47 chromosomes (XXY), Turner Syndrome - 45 chromosomes (XO). Klinefelter Syndrome is characterized by the presence of an extra X chromosome (XXY), leading to 47 chromosomes. Turner Syndrome results from the absence of one X chromosome, leading to 45 chromosomes (XO).
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]