Prove without expansion that,
\(\begin{vmatrix}
a& b & c \\[0.3em]
x &y &z \\[0.3em]
p &q &r
\end{vmatrix}\) = \(\begin{vmatrix}
x &y & z \\[0.3em]
p& q &r \\[0.3em]
a &b &c
\end{vmatrix}\)= \(\begin{vmatrix}
y &b & q \\[0.3em]
x & a & p\\[0.3em]
z & c& r
\end{vmatrix}\)
