Ecological pyramids:
An ecological pyramid is a graphical representation that shows the relationship between different trophic levels in an ecosystem in terms of number, biomass, or energy.
There are three types of ecological pyramids:
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]