Question:

$D = \begin{vmatrix} a & b & c \\ x & y & z \\ p & q & r \end{vmatrix} = \begin{vmatrix} a & x & p \\ b & y & q \\ c & z & r \end{vmatrix}$ (By interchanging rows and columns)<br/>$= -\begin{vmatrix} x & a & p \\ y & b & q \\ z & c & r \end{vmatrix} (C_1 \leftrightarrow C_2)$<br/>$= \begin{vmatrix} y & b & q \\ x & a & p \\ z & c & r \end{vmatrix} (R_1 \leftrightarrow R_2)$