Population characteristics help in studying population dynamics. Density gives the total count, natality measures birth rates, and mortality reflects loss of individuals.
1. Population density – number of individuals per unit area.
2. Natality – birth rate in a population.
3. Mortality – death rate in a population.
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]