Step 1: Paramagnetic Behaviour: - Transition metals exhibit paramagnetism due to the presence of unpaired electrons in d-orbitals. - Magnetic moment: \[ \mu = \sqrt{n(n+2)} \text{ BM} \] where \( n \) is the number of unpaired electrons.
Step 2: Formation of Coloured Ions: - Colour in transition metal ions arises due to d-d transitions when electrons absorb visible light and jump between d-orbitals. - Example: \[ [Cu(H_2O)_6]^{2+} \text{ (Blue)} \]
Find the values of \( x, y, z \) if the matrix \( A \) satisfies the equation \( A^T A = I \), where
\[ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} \]