Write a short note on polyembryony.
Polyembryony results in multiple embryos in a single seed; common in citrus fruits.
Polyembryony is the phenomenon of the development of multiple embryos within a single seed. It can occur naturally in certain plant species such as citrus and mango, as well as in some animals like armadillos.
Types of Polyembryony:
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $