Suppose \(A=\left((a_{i j})\right) \sim W_3(5, \Sigma)\), where \(\Sigma=\left(\begin{array}{lll}2 & 1 & 1 \\ 1 & 2 & 0 \\ 1 & 0 & 2\end{array}\right)\). Then which of the following statements are true?
1
\(a_{22} \sim \chi_3^2\)
2
\(\frac{1}{2} a_{22} \sim \chi_5^2\)
3
\(\frac{1}{33}\left(a_{11}-4 a_{13}+4 a_{33}\right) \sim \chi_3^2\)
4
\(\frac{1}{9}\left(a_{11}-4 a_{13}+4 a_{33}\right) \sim \chi_5^2\)