A population is a group of individuals of the same species living in a specific geographic area.
Population interactions include:
Predation: One organism (predator) kills and eats another (prey).
Competition: Individuals compete for the same resources.
Mutualism: Both species benefit from the relationship.
Parasitism: One species benefits at the expense of another.
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]