\[ \textbf{Fertilization in angiosperms} \text{ occurs when pollen grains land on the stigma, germinate, and the pollen tube carries sperm to the ovule for fertilization.} \] Post-fertilization structures: \[ \begin{array}{|c|c|} \hline \textbf{Structure} & \textbf{Transformation} \\ \hline \text{Zygote} & \text{Develops into an embryo} \\ \text{Endosperm} & \text{Provides nourishment to the developing embryo} \\ \text{Ovule} & \text{Becomes the seed} \\ \text{Ovary} & \text{Matures into the fruit} \\ \hline \end{array} \]
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]