Observe the following lists and matching from List-I to List-II is  

       List=I                                      List-II

A) $\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right]$                             1) skew symmetric matrix

B) $\left[\begin{array}{cc}2& -5\\ -5& 2\end{array}\right]$                     2)Symmetric matrix

C) $\left[\begin{array}{cc}0& x\\ -x& 0\end{array}\right]$                        3) Hermitian matrix

D) $\left[\begin{array}{cc}1& 2+3\mathrm{i}\\ 2-3\mathrm{i}& 5\end{array}\right]$           4) Involutory matrix 

                                              5) Idempotent matrix

A) Let  $\mathrm{P}=\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right] \Rightarrow {\mathrm{P}}^2=\mathrm{I}$

$\therefore \mathrm{P}$ Is in involuntary matrix.                  

B) Let $\mathrm{Q}=\left[\begin{array}{cc}2& -5\\ -5& 2\end{array}\right] \Rightarrow {\mathrm{Q}}^{\mathrm{T}}=\mathrm{Q}$

$\therefore \mathrm{Q}$  is a symmetric matrix.          

C) Let  $\mathrm{R}=\left[\begin{array}{cc}0& \mathrm{x}\\ -\mathrm{x}& 0\end{array}\right] \Rightarrow {\mathrm{R}}^{\mathrm{T}}=-\mathrm{R}$

$\therefore \mathrm{R}$ is a skew symmetric matrix..             

D) Let  $$\begin{gathered} \mathrm{S}=\left[\begin{array}{cc}1& 2+3\mathrm{i}\\ 2-3\mathrm{i}& 5\end{array}\right] \Rightarrow {\mathrm{S}}^{\mathrm{Q}}={\left[\begin{array}{cc}1& 2-3\mathrm{i}\\ 2+3\mathrm{i}& 5\end{array}\right]}^{\mathrm{T}} \\ \therefore {\mathrm{S}}^{\mathrm{Q}}=\mathrm{S} \end{gathered}$$

$\therefore \mathrm{S}$ is a Hermitian matrix..