Atomic and Ionic Size: Across a period, atomic size slightly decreases due to poor shielding by d-electrons. Down a group, size increases due to the addition of a new energy level.
Ionization Enthalpy: Transition metals have higher ionization enthalpy due to their small size and nuclear attraction. \item Ionization energy does not increase significantly across the series because of screening effects.
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 $